{"id":231,"date":"2026-04-20T05:37:25","date_gmt":"2026-04-20T05:37:25","guid":{"rendered":"https:\/\/govt.mrenglishkj.com\/railway\/?p=231"},"modified":"2026-04-21T12:37:35","modified_gmt":"2026-04-21T12:37:35","slug":"rrb-ntpc-graduate-cbt-competitive-exam-2-16-mar-2026-full-hack","status":"publish","type":"post","link":"https:\/\/govt.mrenglishkj.com\/railway\/rrb-ntpc-graduate-cbt-competitive-exam-2-16-mar-2026-full-hack\/","title":{"rendered":"RRB NTPC Graduate CBT Competitive Exam 2 (16 Mar, 2026) Full Hack"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">RRB NTPC Graduate CBT 2 (16 March 2026) \u2013 <strong>Full Test + Quick Tricks + Step-by-Step Solutions<\/strong> (Part 1: Question 1-25)<\/h2>\n\n\n\n<p>Railway Recruitment Board (RRB) conducts the RRB NTPC Exam like 2026 to fill vacancies for Graduate and Undergraduate posts under the Non-Technical Popular Categories (NTPC). Here you will try to attempt the real RRB NTPC Graduate CBT 1 exam, which was conducted on 16 March, 2026. The competitive exam is divided into 4 parts each with 25 questions. You are not just taking the exercise but also learning from the solutions and explanations.<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Exam Instructions<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total Questions: <strong>25<\/strong> (This is Part 1 of Total 100 Questions.)<\/li>\n\n\n\n<li>Attempt like real exam (no scrolling to answers immediately \ud83d\ude09)<\/li>\n\n\n\n<li>Each question includes:\n<ul class=\"wp-block-list\">\n<li>\u2705 Correct Answer<\/li>\n\n\n\n<li>\ud83e\udde0 Shortcut Trick<\/li>\n\n\n\n<li>\u274c Why other options are wrong<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n        <script>\n          window.KQ_FRONT = window.KQ_FRONT || {};\n          window.KQ_FRONT.quiz_id = 13;\n          window.KQ_FRONT.rest = \"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/kq\/v1\/\";\n        <\/script>\n        <div id=\"kapil-quiz-13\"\n             class=\"kapil-quiz-container\"\n             data-kq-app\n             data-quiz-id=\"13\">\n            <div class=\"kq-loading\">Loading quiz...<\/div>\n        <\/div>\n        \n    <div id=\"kq-auth-modal\" class=\"kq-auth-modal\" style=\"display:none;\">\n      <div class=\"kq-auth-modal-inner\">\n        <button id=\"kq-auth-close\" class=\"kq-auth-close\" aria-label=\"Close\">\u2716<\/button>\n\n        <!-- TAB NAV -->\n        <div class=\"kq-auth-tabs\" role=\"tablist\">\n          <button class=\"kq-tab active\" data-tab=\"register\" type=\"button\" role=\"tab\" aria-selected=\"true\">Register<\/button>\n          <button class=\"kq-tab\" data-tab=\"login\" type=\"button\" role=\"tab\" aria-selected=\"false\">Login<\/button>\n          <button class=\"kq-tab\" data-tab=\"forgot\" type=\"button\" role=\"tab\" aria-selected=\"false\">Forgot<\/button>\n        <\/div>\n\n        <!-- PANELS -->\n        <div class=\"kq-auth-panel-wrap\">\n\n          <!-- REGISTER -->\n          <div class=\"kq-auth-panel\" data-panel=\"register\" style=\"display:block\">\n            <div class=\"kq-auth-card\">\n              <h3>Register<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-username\" placeholder=\"Username\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-email\" placeholder=\"Email\" type=\"email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-password\" placeholder=\"Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-signup-btn\" class=\"button kq-btn-small\">Register<\/button>\n              <small style=\"display:block;margin-top:8px;\">Already registered? Use Login tab.<\/small>\n            <\/div>\n          <\/div>\n\n          <!-- LOGIN -->\n          <div class=\"kq-auth-panel\" data-panel=\"login\" style=\"display:none\">\n            <div class=\"kq-auth-card\">\n              <h3>Login<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-login-identity\" placeholder=\"Username or Email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-login-password\" placeholder=\"Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-login-btn\" class=\"button kq-btn-small\">Login<\/button>\n            <\/div>\n          <\/div>\n\n          <!-- FORGOT -->\n          <div class=\"kq-auth-panel\" data-panel=\"forgot\" style=\"display:none\">\n            <div class=\"kq-auth-card\">\n              <h3>Forgot Password<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-forgot-identity\" placeholder=\"Username or Email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-forgot-newpass\" placeholder=\"New Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-forgot-btn\" class=\"button kq-btn-small\">Update Password<\/button>\n            <\/div>\n          <\/div>\n\n        <\/div>\n\n      <\/div>\n    <\/div>\n    \n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">A Complete Step-by-step Solution and Explanation of The Competitive Exam<\/h2>\n\n\n\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [{\n    \"@type\": \"Question\",\n    \"name\": \"Select the set in which the numbers are related in the same way as are the numbers of the following sets.\n(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 \u2013 Operations on 13 such as adding \/ subtracting \/ multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)\n(19,21,55)\n(8,9,23)\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick here is to get 3rd value by multiplying 1st value with 4 then subtract it with 2nd value. Let's learn practically.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Under the Delhi Women & Child Development (WCD) Department\u2019s Women Safety Policy, 2025, what mandatory arrangement must be made for women staff if they are required to work late hours?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Transport is the correct answer. Let's check others.\"}\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"X, Y, Z, S, T and U live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. Only Z lives above U. T lives immediately below U. Only Y lives below S. Who lives on floor numbered 4?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"It is T that lives there, let's learn the simple visual trick to solve it within three seconds.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Which shortcut selects all content in a document?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Ctrl+A\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.\nQ. Five friends \u2013 Gaurav, Himanshu, Ishan, Lokesh, and Mukul \u2013 are of different ages. Who is the third oldest?\n(I) Ishan is older than Gaurav but younger than Lokesh.\n(II) Mukul is older than Ishan but younger than Lokesh.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Both statements I and II together are NOT sufficient to answer the question. Let's learn why.\"} }\n,    {\n    \"@type\": \"Question\",\n    \"name\": \"During PM Narendra Modi\u2019s State Visit to Bhutan (11\u201312 Nov 2025), which hydroelectric project was jointly inaugurated?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"1020 MW Punatsangchhu-II HEP\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"On which river in India is the National Waterway 57 (NW-57) developed?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Kopili River\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"In a certain code language,\nA + B means \u2018A is the daughter of B\u2019\nA - B means \u2018A is the mother of B\u2019\nA x B means \u2018A is the wife of B\u2019\nA \u00f7 B means \u2018A is the father of B\u2019\nBased on the above, how is G related to M if 'G + R x W \u00f7 D - M\u2019?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Mother's sister\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Who among the following was a prominent disciple of Ramanuja\u2019s Sri Vaishnava tradition who played a significant role in spreading its Bhakti teachings to North India?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Ramananda\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"A number when increased by 25% becomes equal to another number, which is 20% less than a third number. What is the ratio of the first number to the third number?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Let's learn how to calculate ration simply, the correct answer is 16:25.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following correctly represents the three-er structure of the Council of Ministers?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"he correct answer is Cabinet Ministers \u2013 Ministers of State \u2013 Deputy Ministers.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use $\\pi = 3.14$)\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"50.24 cubic cm is the correct answer. Let's learn the simple trick to solve and find it.\"\n    }\n    },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which system has become a cornerstone of government development policy and is tied to most rural development programs?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Mahatma Gandhi National Rural Employment Empowerment Scheme (MGNRES)\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"What should come in place of the question mark (?) in the given series?\n20 22 25 30 37 ?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 48. But how can you find out? Let's learn the trick behind it to solve it quickly.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Special address delivered by the President to both Houses of Parliament at the start of the first session after each general election and at the opening of the first session of every year is mentioned under which of the following Articles of the Constitution of India?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Article 87\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"If the equations $x^2 \u2013 3px + q = 0$ and $x^2 \u2013 2kx + t = 0$ have one common root, and the first equation has equal roots, what is the value of $(t + q)^2$?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is $9p^{2}k^{2}$. But the real question is how to get it quickly, let's learn the trick.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which provision addresses citizenship for persons who migrated from Pakistan before India's Constitution commencement?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Article 6 is the correct answer. Let's learn more.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Who among the following established the famous Nrityagram institution in Bengaluru?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Protima Gauri\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"A shopkeeper professes to sell his goods at a 60% loss but uses a false balance and gains 90%. The actual weight (rounded off to one decimal place) he uses for 1 kg is:\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 210.5 gm. The trick behind is very simple. Let's learn it in 5 seconds.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"In a certain code language,\nT + J means \u2018 T is the father of J',\nT - J means \u2018 T is the daughter of J',\nT X J means \u2018 T is the mother of J',\nand T # J means \u2018 T is the husband of J \u2019.\nBased on the above, how is G related to R if ' G # A - R + K'?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Daughter's husband\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Refer to the following letter, symbol series and answer the question. Counting to be done from left to right only.\n(Left) B * \u00a3 J E % \\$ * V \u20ac G * D H @ A \u00a3 O V \\$ T Y (Right)\nHow many such letters are there each of which is immediately preceded by a symbol and also immediately followed by a symbol?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"There are only 3 like that. Let's learn the visual ways.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"If 15% of $80 - \\frac{3}{6} \\times \\sqrt[3]{216} \\times \\sqrt{36} = y$, then the value of y is _________?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick is simple and the correct answer is -6.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following letter-number clusters will replace the question mark \u201c?\u201d in the given series to make it logically complete?\nQIL 14, UMP 18, YQT 22, CUX 26, ?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick behind is addition of 4 in each letter and number after every forward sequence The correct answer is GYB 30.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"This question is based on the five, three-digit numbers given below.\n(Left) 547 589 652 598 637 (Right)\n(Example- 697 \u2013 First digit = 6, second digit = 9 and third digit = 7)\nNOTE: All operations to be done from left to right. What will be the resultant if the second digit of the highest number is added to the second digit of the lowest number?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"It is simple skimming type question. The correct answer is 9. Let's learn the trick.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Seven people, K, L, M, N, P, Q and R, are sitting around a circular table facing the centre of the table but not necessarily in the same order.\nOnly two people sit between N and Q when counted from the right of N. Only two people sit between Q and M. Only three people sit between N and P. L sits to the immediate left of R. Who sits third to the left of K?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is R. This is all a visual map trick. Let's learn it faster by trying.\"\n    }\n  }\n  }\n}\n<\/script>\n\n\n\n<div class=\"wp-block-coblocks-accordion\">\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 1<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Select the set in which the numbers are related in the same way as are the numbers of the following sets.<br>(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 \u2013 Operations on 13 such as adding \/ subtracting \/ multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)<br>(19,21,55)<br>(8,9,23)<\/strong><br><br>A. (22,21,67)<br>B. (1,21,19)<br>C. (7,5,3)<br>D. (20,12,79)<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Given:<br><\/strong>(19,21,55)<br>(8,9,23)<br>Find relation: <math data-latex=\"3rd\\ Value = 1st\\ Value \\times 4 - 2nd\\ Value\"><semantics><mrow><mn>3<\/mn><mi>r<\/mi><mi>d<\/mi><mtext>&nbsp;<\/mtext><mi>V<\/mi><mi>a<\/mi><mi>l<\/mi><mi>u<\/mi><mi>e<\/mi><mo>=<\/mo><mn>1<\/mn><mi>s<\/mi><mi>t<\/mi><mtext>&nbsp;<\/mtext><mi>V<\/mi><mi>a<\/mi><mi>l<\/mi><mi>u<\/mi><mi>e<\/mi><mo>\u00d7<\/mo><mn>4<\/mn><mo>\u2212<\/mo><mn>2<\/mn><mi>n<\/mi><mi>d<\/mi><mtext>&nbsp;<\/mtext><mi>V<\/mi><mi>a<\/mi><mi>l<\/mi><mi>u<\/mi><mi>e<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">3rd\\ Value = 1st\\ Value \\times 4 &#8211; 2nd\\ Value<\/annotation><\/semantics><\/math><br>Check: (19, 21, 55)<br><math data-latex=\"55 = 19 \\times 4 - 21 \\\\ 55 = 76 - 21 \\\\ 55 = 55\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><mn>55<\/mn><mo>=<\/mo><mn>19<\/mn><mo>\u00d7<\/mo><mn>4<\/mn><mo>\u2212<\/mo><mn>21<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mn>55<\/mn><mo>=<\/mo><mn>76<\/mn><mo>\u2212<\/mo><mn>21<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mn>55<\/mn><mo>=<\/mo><mn>55<\/mn><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">55 = 19 \\times 4 &#8211; 21 \\\\ 55 = 76 &#8211; 21 \\\\ 55 = 55<\/annotation><\/semantics><\/math><br><br>Check second: (8, 9, 23)<br><math data-latex=\"23 = 8 \\times 4 - 9 \\\\ 23 = 32 - 9 \\\\ 23 = 23\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><mn>23<\/mn><mo>=<\/mo><mn>8<\/mn><mo>\u00d7<\/mo><mn>4<\/mn><mo>\u2212<\/mo><mn>9<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mn>23<\/mn><mo>=<\/mo><mn>32<\/mn><mo>\u2212<\/mo><mn>9<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mn>23<\/mn><mo>=<\/mo><mn>23<\/mn><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">23 = 8 \\times 4 &#8211; 9 \\\\ 23 = 32 &#8211; 9 \\\\ 23 = 23<\/annotation><\/semantics><\/math><br><br>\ud83d\udc49 Pattern:<br>Check option A:<br><math data-latex=\"67 = 22 \\times 4 - 21 \\\\ 67 = 88 - 21 \\\\ 67 = 67\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><mn>67<\/mn><mo>=<\/mo><mn>22<\/mn><mo>\u00d7<\/mo><mn>4<\/mn><mo>\u2212<\/mo><mn>21<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mn>67<\/mn><mo>=<\/mo><mn>88<\/mn><mo>\u2212<\/mo><mn>21<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mn>67<\/mn><mo>=<\/mo><mn>67<\/mn><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">67 = 22 \\times 4 &#8211; 21 \\\\ 67 = 88 &#8211; 21 \\\\ 67 = 67<\/annotation><\/semantics><\/math><br><br>\u2705 Answer: <strong>A. (22,21,67)<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 2<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Under the Delhi Women &amp; Child Development (WCD) Department\u2019s Women Safety Policy, 2025, what mandatory arrangement must be made for women staff if they are required to work late hours?<\/strong><br><br>A. Accommodation<br>B. Dinner<br>C. Bonus<br>D. Transport<\/p>\n\n\n\n<p class=\"is-style-success\">Mandatory provision for late working women \u2192 safe transport<br>\u2705 Answer: <strong>D. Transport<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 3<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>X, Y, Z, S, T and U live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. Only Z lives above U. T lives immediately below U. Only Y lives below S. Who lives on floor numbered 4?<\/strong><br><br>A. Z<br>B. T<br>C. S<br>D. U<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Floor Puzzle<br><\/strong>Only Z above U \u2192 U = 5, Z = 6<br>T immediately below U \u2192 T = 4<br>Only Y below S \u2192 S = 2, Y = 1<br>Remaining floors 3 \u2192 X<br>\ud83d\udc49 Floor 4 = T<br>\u2705 Answer: <strong>B. T<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 4<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which shortcut selects all content in a document?<br><\/strong><br>A. Ctrl+R<br>B. Ctrl+S<br>C. Ctrl+E<br>D. Ctrl+A<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>D. Ctrl+A<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 5<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.<br>Q. Five friends \u2013 Gaurav, Himanshu, Ishan, Lokesh, and Mukul \u2013 are of different ages. Who is the third oldest?<br>(I) Ishan is older than Gaurav but younger than Lokesh.<br>(II) Mukul is older than Ishan but younger than Lokesh.<br><\/strong><br>A. Data in Statement II alone is sufficient to answer the question while data in Statement I is not<br>B. Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question<br>C. Data in Statement I alone is sufficient to answer the question while data in Statement II is not<br>D. Both statements I and II together are NOT sufficient to answer the question<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Data Sufficiency<br><\/strong>(I): Lokesh &gt; Ishan &gt; Gaurav<br>(II): Lokesh &gt; Mukul &gt; Ishan<br>Combine:<br>Lokesh &gt; Mukul &gt; Ishan &gt; Gaurav<br>\ud83d\udc49 Still missing Himanshu \u2192 cannot decide 3rd<br>\ud83d\udc49 <strong>Answer D: Both statements I and II together are NOT sufficient to answer the question<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 6<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>During PM Narendra Modi\u2019s State Visit to Bhutan (11\u201312 Nov 2025), which hydroelectric project was jointly inaugurated?<br><\/strong><br>A. 720 MW Mangdechhu HEP<br>B. 1020 MW Punatsangchhu-II HEP<br>C. 1200 MW Punatsangchhu-I HEP<br>D. 336 MW Chukha HEP<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>B. 1020 MW Punatsangchhu-II HEP<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 7<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>On which river in India is the National Waterway 57 (NW-57) developed?<\/strong><br><br>A. Gandak River<br>B. Kali River<br>C. Kopili River<br>D. Zuari River<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>C. Kopili River<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 8<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In a certain code language,<br>A + B means \u2018A is the daughter of B\u2019<br>A &#8211; B means \u2018A is the mother of B\u2019<br>A x B means \u2018A is the wife of B\u2019<br>A \u00f7 B means \u2018A is the father of B\u2019<br>Based on the above, how is G related to M if &#8216;G + R x W \u00f7 D &#8211; M\u2019?<\/strong><br><br>A. Sister<br>B. Mother&#8217;s sister<br>C. Mother<br>D. Mother&#8217;s mother<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Blood Relation<\/strong><br>Expression:<br>G + R \u00d7 W \u00f7 D \u2212 M<br>Break:<br>G + R \u2192 G is daughter of R<br>R \u00d7 W \u2192 R is wife of W<br>W \u00f7 D \u2192 W is father of D<br>\ud83d\udc49 R = mother of D<br>D \u2212 M \u2192 D is mother of M<br>\ud83d\udc49 G = sister of D \u2192 maternal aunt of M<br><strong>The correct answer is B: Mother&#8217;s sister.<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 9<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Who among the following was a prominent disciple of Ramanuja\u2019s Sri Vaishnava tradition who played a significant role in spreading its Bhakti teachings to North India?<\/strong><br><br>A. Ramanujacharya<br>B. Namdev<br>C. Madhvacharya<br>D. Ramananda<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>D. Ramananda<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 10<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>A number when increased by 25% becomes equal to another number, which is 20% less than a third number. What is the ratio of the first number to the third number?<\/strong><br><br>A. 9:16<br>B. 25:36<br>C. 16:25<br>D. 27:38<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Ratio<\/strong><br>Let first number = x<br>After +25% \u2192 1.25x<br>Second = 80% of third = 0.8y<br>So:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>1.25<\/mn><mi>x<\/mi><mo>=<\/mo><mn>0.8<\/mn><mi>y<\/mi><mo>\u21d2<\/mo><mfrac><mi>x<\/mi><mi>y<\/mi><\/mfrac><mo>=<\/mo><mfrac><mn>0.8<\/mn><mn>1.25<\/mn><\/mfrac><mo>=<\/mo><mfrac><mn>16<\/mn><mn>25<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">1.25x = 0.8y \\Rightarrow \\frac{x}{y} = \\frac{0.8}{1.25} = \\frac{16}{25}<\/annotation><\/semantics><\/math><br>\u2705 Answer: <strong>C. 16:25<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 11<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following correctly represents the three-er structure of the Council of Ministers?<\/strong><br><br>A. Chief Ministers \u2013 State Ministers \u2013 Deputy Chief Ministers<br>B. Cabinet Ministers \u2013 Ministers of State \u2013 Deputy Ministers<br>C. Prime Minister \u2013 Ministers of State \u2013 Cabinet Ministers<br>D. Cabinet Ministers \u2013 Deputy Ministers \u2013 Governors<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>B. Cabinet Ministers \u2013 Ministers of State \u2013 Deputy Ministers<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 12<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use <\/strong><math data-latex=\"\\pi = 3.14\"><semantics><mrow><mi>\u03c0<\/mi><mo>=<\/mo><mn>3.14<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\pi = 3.14<\/annotation><\/semantics><\/math><strong>)<\/strong><br><br>A. 55.61 cubic cm<br>B. 40.55 cubic cm<br>C. 42.62 cubic cm<br>D. 50.24 cubic cm<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Solid from Triangle<\/strong><br>Triangle = 3-4-5 (right triangle)<br>Rotating about side 3 \u2192 forms cone<br>radius = 4<br>height = 3<br><math data-latex=\"V = \\frac{1}{3} \\pi r^2 h \\\\ V = \\frac{1}{3} \\pi \\times 4^2 \\times 3 \\\\ V = 1 \\pi \\times 16 \\\\ V = 16\\pi \\\\ V = 16\\times 3.14 \\\\ V = 50.24\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><mi>V<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mn>3<\/mn><\/mfrac><mi>\u03c0<\/mi><msup><mi>r<\/mi><mn>2<\/mn><\/msup><mi>h<\/mi><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mi>V<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mn>3<\/mn><\/mfrac><mi>\u03c0<\/mi><mo>\u00d7<\/mo><msup><mn>4<\/mn><mn>2<\/mn><\/msup><mo>\u00d7<\/mo><mn>3<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mi>V<\/mi><mo>=<\/mo><mn>1<\/mn><mi>\u03c0<\/mi><mo>\u00d7<\/mo><mn>16<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mi>V<\/mi><mo>=<\/mo><mn>16<\/mn><mi>\u03c0<\/mi><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mi>V<\/mi><mo>=<\/mo><mn>16<\/mn><mo>\u00d7<\/mo><mn>3.14<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mi>V<\/mi><mo>=<\/mo><mn>50.24<\/mn><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">V = \\frac{1}{3} \\pi r^2 h \\\\ V = \\frac{1}{3} \\pi \\times 4^2 \\times 3 \\\\ V = 1 \\pi \\times 16 \\\\ V = 16\\pi \\\\ V = 16\\times 3.14 \\\\ V = 50.24<\/annotation><\/semantics><\/math><br><br>\u2705 Answer: <strong>D. 50.24 cubic cm<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 13<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which system has become a cornerstone of government development policy and is tied to most rural development programs?<\/strong><br><br>A. Swachh Bharat Abhiyan<br>B. Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA)<br>C. Mahatma Gandhi National Rural Employment Empowerment Scheme (MGNRES)<br>D. Public Distribution System (PDS)<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\u2705 Answer: B. Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA)<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 14<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>What should come in place of the question mark (?) in the given series?<br>20 22 25 30 37 ?<\/strong><br><br>A. 49<br>B. 55<br>C. 48<br>D. 51<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Series<\/strong><br>20, 22, 25, 30, 37<br>Differences:<br>+2, +3, +5, +7<br>\ud83d\udc49 next = +11<br>\ud83d\udc49 37 + 11 = 48<br>\u2705 Answer: <strong>C. 48<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 15<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Special address delivered by the President to both Houses of Parliament at the start of the first session after each general election and at the opening of the first session of every year is mentioned under which of the following Articles of the Constitution of India?<\/strong><br><br>A. Article 85<br>B. Article 86<br>C. Article 88<br>D. Article 87<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>D. Article 87<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 16<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>If the equations <\/strong><math data-latex=\"x^2 \u2013 3px + q = 0\"><semantics><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mtext>\u2013<\/mtext><mn>3<\/mn><mi>p<\/mi><mi>x<\/mi><mo>+<\/mo><mi>q<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">x^2 \u2013 3px + q = 0<\/annotation><\/semantics><\/math><strong> and <\/strong><math data-latex=\"x^2 \u2013 2kx + t = 0\"><semantics><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mtext>\u2013<\/mtext><mn>2<\/mn><mi>k<\/mi><mi>x<\/mi><mo>+<\/mo><mi>t<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">x^2 \u2013 2kx + t = 0<\/annotation><\/semantics><\/math><strong> have one common root, and the first equation has equal roots, what is the value of <\/strong><math data-latex=\"(t + q)^2\"><semantics><mrow><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>t<\/mi><mo>+<\/mo><mi>q<\/mi><msup><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(t + q)^2<\/annotation><\/semantics><\/math><strong>?<\/strong><br><br>A. 0<br>B. 4pk<br>C. 9p<sup>2<\/sup>k<sup>2<\/sup><br>D. (3p &#8211; 2k)<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\ud83d\udd34 Given<\/strong><br>Two equations:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><mtext>\u2005\u200a<\/mtext><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mn>3<\/mn><mi>p<\/mi><mi>x<\/mi><mo>+<\/mo><mi>q<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">(1)\\; x^2 &#8211; 3px + q = 0<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mn>2<\/mn><mo stretchy=\"false\">)<\/mo><mtext>\u2005\u200a<\/mtext><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mn>2<\/mn><mi>k<\/mi><mi>x<\/mi><mo>+<\/mo><mi>t<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">(2)\\; x^2 &#8211; 2kx + t = 0<\/annotation><\/semantics><\/math>Conditions:<br><strong>One common root<\/strong><br>First equation has <strong>equal roots<\/strong><br><br>Find:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>t<\/mi><mo>+<\/mo><mi>q<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(t + q)^2<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 1: Use \u201cequal roots\u201d condition<\/strong><br>\ud83d\udc49 For a quadratic:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>a<\/mi><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>b<\/mi><mi>x<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">ax^2 + bx + c = 0<\/annotation><\/semantics><\/math><br>Equal roots \u21d2 Discriminant = 0<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mn>4<\/mn><mi>a<\/mi><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">b^2 &#8211; 4ac = 0<\/annotation><\/semantics><\/math><br>Apply to (1):<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mn>3<\/mn><mi>p<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mn>4<\/mn><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">(<\/mo><mi>q<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">(-3p)^2 &#8211; 4(1)(q) = 0<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>9<\/mn><msup><mi>p<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mn>4<\/mn><mi>q<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">9p^2 &#8211; 4q = 0<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>q<\/mi><mo>=<\/mo><mfrac><mrow><mn>9<\/mn><msup><mi>p<\/mi><mn>2<\/mn><\/msup><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">q = \\frac{9p^2}{4}<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 2: Find the repeated root of (1)<\/strong><br>For equal roots:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mfrac><mrow><mo>\u2212<\/mo><mi>b<\/mi><\/mrow><mrow><mn>2<\/mn><mi>a<\/mi><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">x = \\frac{-b}{2a}<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">x = \\frac{3p}{2}<\/annotation><\/semantics><\/math><br>\ud83d\udc49 This root is <strong>common root<\/strong><br><br><strong>\ud83e\udde0 Step 3: Put this root in second equation<\/strong><br>Since it&#8217;s common:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">x = \\frac{3p}{2}<\/annotation><\/semantics><\/math>Put in (2):<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mn>2<\/mn><mi>k<\/mi><mi>x<\/mi><mo>+<\/mo><mi>t<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">x^2 &#8211; 2kx + t = 0<\/annotation><\/semantics><\/math><br>Substitute:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msup><mrow><mo fence=\"true\">(<\/mo><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mn>2<\/mn><mi>k<\/mi><mrow><mo fence=\"true\">(<\/mo><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><mo>+<\/mo><mi>t<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\left(\\frac{3p}{2}\\right)^2 &#8211; 2k\\left(\\frac{3p}{2}\\right) + t = 0<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mrow><mn>9<\/mn><msup><mi>p<\/mi><mn>2<\/mn><\/msup><\/mrow><mn>4<\/mn><\/mfrac><mo>\u2212<\/mo><mn>3<\/mn><mi>k<\/mi><mi>p<\/mi><mo>+<\/mo><mi>t<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{9p^2}{4} &#8211; 3kp + t = 0<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 4: Use value of q<\/strong><br>We already have:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>q<\/mi><mo>=<\/mo><mfrac><mrow><mn>9<\/mn><msup><mi>p<\/mi><mn>2<\/mn><\/msup><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">q = \\frac{9p^2}{4}<\/annotation><\/semantics><\/math>So:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>q<\/mi><mo>\u2212<\/mo><mn>3<\/mn><mi>k<\/mi><mi>p<\/mi><mo>+<\/mo><mi>t<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">q &#8211; 3kp + t = 0<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>t<\/mi><mo>+<\/mo><mi>q<\/mi><mo>=<\/mo><mn>3<\/mn><mi>k<\/mi><mi>p<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">t + q = 3kp<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 5: Now key observation<\/strong><br>\ud83d\udc49 From root of equation (2):<br>Sum of roots:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mn>2<\/mn><mi>k<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">= 2k<\/annotation><\/semantics><\/math>One root = <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{3p}{2}<\/annotation><\/semantics><\/math><br>Let other root = r<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><mo>+<\/mo><mi>r<\/mi><mo>=<\/mo><mn>2<\/mn><mi>k<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{3p}{2} + r = 2k<\/annotation><\/semantics><\/math>\ud83d\udc49 Product of roots:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mi>t<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">= t<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><mo>\u22c5<\/mo><mi>r<\/mi><mo>=<\/mo><mi>t<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{3p}{2} \\cdot r = t<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 6: Use these smartly<\/strong><br>From sum:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>r<\/mi><mo>=<\/mo><mn>2<\/mn><mi>k<\/mi><mo>\u2212<\/mo><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">r = 2k &#8211; \\frac{3p}{2}<\/annotation><\/semantics><\/math><br>Put in product:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>t<\/mi><mo>=<\/mo><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><mrow><mo fence=\"true\">(<\/mo><mn>2<\/mn><mi>k<\/mi><mo>\u2212<\/mo><mfrac><mrow><mn>3<\/mn><mi>p<\/mi><\/mrow><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">t = \\frac{3p}{2} \\left(2k &#8211; \\frac{3p}{2}\\right)<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>t<\/mi><mo>=<\/mo><mn>3<\/mn><mi>k<\/mi><mi>p<\/mi><mo>\u2212<\/mo><mfrac><mrow><mn>9<\/mn><msup><mi>p<\/mi><mn>2<\/mn><\/msup><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">t = 3kp &#8211; \\frac{9p^2}{4}<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 7: Now compute <\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>t<\/mi><mo>+<\/mo><mi>q<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">t + q<\/annotation><\/semantics><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>t<\/mi><mo>+<\/mo><mi>q<\/mi><mo>=<\/mo><mrow><mo fence=\"true\">(<\/mo><mn>3<\/mn><mi>k<\/mi><mi>p<\/mi><mo>\u2212<\/mo><mfrac><mrow><mn>9<\/mn><msup><mi>p<\/mi><mn>2<\/mn><\/msup><\/mrow><mn>4<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><mo>+<\/mo><mfrac><mrow><mn>9<\/mn><msup><mi>p<\/mi><mn>2<\/mn><\/msup><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">t + q = \\left(3kp &#8211; \\frac{9p^2}{4}\\right) + \\frac{9p^2}{4}<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>t<\/mi><mo>+<\/mo><mi>q<\/mi><mo>=<\/mo><mn>3<\/mn><mi>k<\/mi><mi>p<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">t + q = 3kp<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 8: Final value<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>t<\/mi><mo>+<\/mo><mi>q<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><mo>=<\/mo><mo stretchy=\"false\">(<\/mo><mn>3<\/mn><mi>k<\/mi><mi>p<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><mo>=<\/mo><mn>9<\/mn><msup><mi>k<\/mi><mn>2<\/mn><\/msup><msup><mi>p<\/mi><mn>2<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">(t + q)^2 = (3kp)^2 = 9k^2 p^2<\/annotation><\/semantics><\/math><br><strong>\u26a0\ufe0f Final Insight (IMPORTANT)<\/strong><br>\ud83d\udc49 But since <strong>no numerical value of k or p is given<\/strong>,<br>\ud83d\udc49 expression simplifies to:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mrow><mn>9<\/mn><msup><mi>k<\/mi><mn>2<\/mn><\/msup><msup><mi>p<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mstyle><\/mstyle><\/mstyle><\/menclose><\/mrow><annotation encoding=\"application\/x-tex\">\\boxed{9k^2 p^2}<\/annotation><\/semantics><\/math>\u2705 Answer: <strong>C<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 17<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which provision addresses citizenship for persons who migrated from Pakistan before India&#8217;s Constitution commencement?<\/strong><br><br>A. Article 5<br>B. Article 8<br>C. Article 10<br>D. Article 6<\/p>\n\n\n\n<p class=\"is-style-success\">\ud83d\udc49 <strong>Answer D: Article 6<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 18<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Who among the following established the famous Nrityagram institution in Bengaluru?<\/strong><br><br>A. Protima Gauri<br>B. Pavithra Reddy<br>C. Surupa Sen<br>D. Bijayini Satpathy<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>A. Protima Gauri<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 19<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>A shopkeeper professes to sell his goods at a 60% loss but uses a false balance and gains 90%. The actual weight (rounded off to one decimal place) he uses for 1 kg is:<\/strong><br><br>A. 210.5 gm<br>B. 214.1 gm<br>C. 209.5 gm<br>D. 213.6 gm<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>False Weight<\/strong><br>Let CP = 100<br>Selling at 60% loss \u2192 SP = 40<br>But gains 90% \u2192 effective SP = 190<br>So:<br>\u200b<math data-latex=\"\\frac{40}{190} = \\frac{actual}{1000}\"><semantics><mrow><mfrac><mn>40<\/mn><mn>190<\/mn><\/mfrac><mo>=<\/mo><mfrac><mrow><mi>a<\/mi><mi>c<\/mi><mi>t<\/mi><mi>u<\/mi><mi>a<\/mi><mi>l<\/mi><\/mrow><mn>1000<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{40}{190} = \\frac{actual}{1000}<\/annotation><\/semantics><\/math><br><br>Actual weight \u2248 210.5 g<br>\u2705 Answer: <strong>A. 210.5 gm<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 20<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In a certain code language,<br>T + J means \u2018 T is the father of J&#8217;,<br>T &#8211; J means \u2018 T is the daughter of J&#8217;,<br>T X J means \u2018 T is the mother of J&#8217;,<br>and T # J means \u2018 T is the husband of J \u2019.<br>Based on the above, how is G related to R if &#8216; G # A &#8211; R + K&#8217;?<\/strong><br><br>A. Daughter&#8217;s husband<br>B. Sister&#8217;s husband<br>C. Husband&#8217;s brother<br>D. Husband<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Blood Relation<\/strong><br>G # A \u2192 husband<br>A \u2212 R \u2192 daughter<br>R + K \u2192 father<br>\ud83d\udc49 G = husband of daughter of R<br><strong>\ud83c\udfaf FINAL ANSWER: A. Daughter&#8217;s husband<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 21<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Refer to the following letter, symbol series and answer the question. Counting to be done from left to right only.<br>(Left) B * \u00a3 J E % \\$ * V \u20ac G * D H @ A \u00a3 O V \\$ T Y (Right)<br>How many such letters are there each of which is immediately preceded by a symbol and also immediately followed by a symbol?<\/strong><br><br>A. 2<br>B. 4<br>C. 5<br>D. 3<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Symbol Series<\/strong><br>Check letters between symbols:<br>Valid = V, G, A<br>\ud83d\udc49 total = 3<br><strong>\u2705 Answer: D<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 22<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>If 15% of <\/strong><math data-latex=\"80 - \\frac{3}{6} \\times \\sqrt[3]{216} \\times \\sqrt{36} = y\"><semantics><mrow><mn>80<\/mn><mo>\u2212<\/mo><mfrac><mn>3<\/mn><mn>6<\/mn><\/mfrac><mo>\u00d7<\/mo><mroot><mn>216<\/mn><mn>3<\/mn><\/mroot><mo>\u00d7<\/mo><msqrt><mn>36<\/mn><\/msqrt><mo>=<\/mo><mi>y<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">80 &#8211; \\frac{3}{6} \\times \\sqrt[3]{216} \\times \\sqrt{36} = y<\/annotation><\/semantics><\/math><strong>, then the value of y is <strong><em>_<\/em><\/strong>__?<\/strong><br><br>A. -6<br>B. -12<br>C. -3<br>D. -10<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Simplification<br><\/strong>15% \u00d7 80 = 12<br>\u200b3\/6 \u00d7 6 \u00d7 6 = 18<br>12 \u2212 18 = \u22126<br><strong>\u2705 Answer: A. -6<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 23<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following letter-number clusters will replace the question mark \u201c?\u201d in the given series to make it logically complete?<br>QIL 14, UMP 18, YQT 22, CUX 26, ?<\/strong><br><br>A. HZC 29<br>B. GZD 30<br>C. GXZ 32<br>D. GYB 30<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Coding Series<\/strong><br>Pattern:<br>+4 shift letters<br>+4 numbers<br>Next:<br>G Y B \u2192 30<br>\u2705 Answer: <strong>D. GYB 30<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 24<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Seven people, K, L, M, N, P, Q and R, are sitting around a circular table facing the centre of the table but not necessarily in the same order.<br>Only two people sit between N and Q when counted from the right of N. Only two people sit between Q and M. Only three people sit between N and P. L sits to the immediate left of R. Who sits third to the left of K?<\/strong><br><br>A. N<br>B. P<br>C. L<br>D. R<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Key Points:<br><\/strong>&#8211; &#8220;right of&#8221; goes clockwise.<br>&#8211; &#8220;left of&#8221; goes anti-clockwise<br>&#8211; Circular table like a clock: 1,2,3,4,5,6,7.<br>&#8211; There are total 7: K,L,M,N,P,Q,R.<br>&#8211; All we have to do is to fit them in position to solve.<br><br>Let&#8217;s begin.<br>1 = N<br>2 = L<br>3 = R<br>4 = Q<br>5 = P<br>6 = K<br>7 = M<br>\u2705 Now Check Conditions (Fast Trick Method):<br>1. N \u2192 Q (two between)<br><strong>N<\/strong> \u2192 ? \u2192 ? \u2192 <strong>Q<\/strong> \u2192 ? \u2192 ? \u2192 ? \u2192 N&#8230; \u2714\ufe0f (The circle starts from N to N)<br><br>2. Q \u2192 M (two between)<br>N \u2192 ? \u2192 ? \u2192 <strong>Q<\/strong> \u2192 ? \u2192 ? \u2192 <strong>M<\/strong> \u2192 N&#8230; \u2714\ufe0f<br><br>3. N \u2192 P (three between)<br><strong>N<\/strong> \u2192 ? \u2192 ? \u2192 Q \u2192 <strong>P<\/strong> \u2192 ? \u2192 M \u2192 N&#8230; \u2714\ufe0f<br><br>4. L \u2192 R (left of R)<br>N \u2192 <strong>R<\/strong> \u2192 <strong>L<\/strong> \u2192 Q \u2192 P \u2192 ? \u2192 M \u2192 N&#8230; \u2714\ufe0f<br><br>5. K (only left is K)<br>N \u2192 R \u2192 L \u2192 Q \u2192 P \u2192 <strong>K<\/strong> \u2192 M \u2192 N&#8230; \u2714\ufe0f<br><br>The question asked:<br>\ud83d\udc49 Who sits third left of K<br>N \u2192 <strong>R<\/strong> \u2192 L \u2192 Q \u2192 P \u2192 <strong>K<\/strong> \u2192 M \u2192 N&#8230; \u2714\ufe0f<br>Left of K:<br><strong>K<\/strong> \u2192 P \u2192 Q \u2192 L \u2192 <strong>R<\/strong> \u2192 N \u2192 M \u2192 K&#8230; \u2714\ufe0f<br>\ud83d\udc49 <strong>Answer D: R<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 25<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>This question is based on the five, three-digit numbers given below.<br>(Left) 547 589 652 598 637 (Right)<br>(Example- 697 \u2013 First digit = 6, second digit = 9 and third digit = 7)<br>NOTE: All operations to be done from left to right. What will be the resultant if the second digit of the highest number is added to the second digit of the lowest number?<\/strong><br><br>A. 9<br>B. 14<br>C. 11<br>D. 12<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>The fastest trick:<br><\/strong>Numbers:<br>547, 589, 652, 598, 637<br>Highest = 652 \u2192 2nd digit = 5<br>Lowest = 547 \u2192 2nd digit = 4<br>\ud83d\udc49 5 + 4 = 9<br><strong>\u2705 Answer: A. 9<\/strong><\/p>\n<\/div><\/details><\/div>\n<\/div>\n\n\n\n<!--nextpage-->\n\n\n\n<h2 class=\"wp-block-heading\">RRB NTPC Graduate CBT 2 (16 March 2026) \u2013 <strong>A Complete Test, Fast Tricks, Detailed Solutions<\/strong> (Part 2: Question 26-50)<\/h2>\n\n\n\n<p>This section contains questions from 26 to 50. Railway Recruitment Board (RRB) conducts the RRB NTPC Exam like 2026 to fill vacancies for Graduate and Undergraduate posts under the Non-Technical Popular Categories (NTPC). Here you will try to attempt the real RRB NTPC Graduate CBT 1 exam, which was conducted on 16 March, 2026 Shift 2. The competitive exam is divided into 4 parts each with 25 questions. You are not only taking the exercise but also learning from the answer, solutions and their explanations.<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Exam Instructions<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total Questions: <strong>25<\/strong> (This is Part 2 of Total 100 Questions.)<\/li>\n\n\n\n<li>Attempt like real exam (no scrolling to answers immediately \ud83d\ude09)<\/li>\n\n\n\n<li>Each question includes:\n<ul class=\"wp-block-list\">\n<li>\u2705 Correct Answer<\/li>\n\n\n\n<li>\ud83e\udde0 Shortcut Trick<\/li>\n\n\n\n<li>\u274c Why other options are wrong<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n        <script>\n          window.KQ_FRONT = window.KQ_FRONT || {};\n          window.KQ_FRONT.quiz_id = 14;\n          window.KQ_FRONT.rest = \"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/kq\/v1\/\";\n        <\/script>\n        <div id=\"kapil-quiz-14\"\n             class=\"kapil-quiz-container\"\n             data-kq-app\n             data-quiz-id=\"14\">\n            <div class=\"kq-loading\">Loading quiz...<\/div>\n        <\/div>\n        \n    <div id=\"kq-auth-modal\" class=\"kq-auth-modal\" style=\"display:none;\">\n      <div class=\"kq-auth-modal-inner\">\n        <button id=\"kq-auth-close\" class=\"kq-auth-close\" aria-label=\"Close\">\u2716<\/button>\n\n        <!-- TAB NAV -->\n        <div class=\"kq-auth-tabs\" role=\"tablist\">\n          <button class=\"kq-tab active\" data-tab=\"register\" type=\"button\" role=\"tab\" aria-selected=\"true\">Register<\/button>\n          <button class=\"kq-tab\" data-tab=\"login\" type=\"button\" role=\"tab\" aria-selected=\"false\">Login<\/button>\n          <button class=\"kq-tab\" data-tab=\"forgot\" type=\"button\" role=\"tab\" aria-selected=\"false\">Forgot<\/button>\n        <\/div>\n\n        <!-- PANELS -->\n        <div class=\"kq-auth-panel-wrap\">\n\n          <!-- REGISTER -->\n          <div class=\"kq-auth-panel\" data-panel=\"register\" style=\"display:block\">\n            <div class=\"kq-auth-card\">\n              <h3>Register<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-username\" placeholder=\"Username\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-email\" placeholder=\"Email\" type=\"email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-password\" placeholder=\"Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-signup-btn\" class=\"button kq-btn-small\">Register<\/button>\n              <small style=\"display:block;margin-top:8px;\">Already registered? Use Login tab.<\/small>\n            <\/div>\n          <\/div>\n\n          <!-- LOGIN -->\n          <div class=\"kq-auth-panel\" data-panel=\"login\" style=\"display:none\">\n            <div class=\"kq-auth-card\">\n              <h3>Login<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-login-identity\" placeholder=\"Username or Email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-login-password\" placeholder=\"Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-login-btn\" class=\"button kq-btn-small\">Login<\/button>\n            <\/div>\n          <\/div>\n\n          <!-- FORGOT -->\n          <div class=\"kq-auth-panel\" data-panel=\"forgot\" style=\"display:none\">\n            <div class=\"kq-auth-card\">\n              <h3>Forgot Password<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-forgot-identity\" placeholder=\"Username or Email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-forgot-newpass\" placeholder=\"New Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-forgot-btn\" class=\"button kq-btn-small\">Update Password<\/button>\n            <\/div>\n          <\/div>\n\n        <\/div>\n\n      <\/div>\n    <\/div>\n    \n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Step-by-step Solution and Explanation of The Railway Competitive Exam<\/h2>\n\n\n\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following is NOT an important monument inside the Daulatabad Fort Maharashtra, India?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Sikandra Fort.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"In the context of India's pre-1991 economic structure, which of the following best characterizes the contradiction between sectoral GDP contribution and employment absorption?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Agriculture contributed declining GDP share but absorbed majority employment.\"}\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Side PQ of a cyclic quadrilateral PQRS is produced to the point T. If $\\angle{RQT} = 58^\\circ$, then the measure of $\\angle{PSR}$ is____?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick here is conception, so the correct answer is 58\u00b0.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Under the ELI scheme approved in July 2025, first-time employees will benefit by getting one month\u2019s wage under this scheme, up to what amount?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick is simple and the correct answer is \u20b915,000.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only four people have exams after V. Only four people have exams before S. P has the exam after R but before V. T has the exam on some day after Q but not on Sunday. How many people have exams between Q and U?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Two, but how can we get it s easily. Let's learn the trick.\"} }\n,    {\n    \"@type\": \"Question\",\n    \"name\": \"Which type of touchscreen functions by pressing two flexible layers together, allowing it to detect input from a non-conductive object like a fingernail or plastic stylus?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Resistive touch.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Suman, Kunal, and Pooja invest \u20b91050, \u20b91510, and \u20b91280 respectively to start a business. If the profit at the end of the year is \u20b91650, then what is the share of Pooja in the profit?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick behind is very simple, the correct answer is \u20b9550. Let's learn.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"J, K, L, R, S and T live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. Only two people live between J and T. Only two people live between S and K. Only one person lives between L and K. L lives on floor number 1. J lives above K. How many people live between R and S?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 1, check out why 1 here.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"The LCM of two numbers is 1116 and their HCF is 186. If one of the number is 372, then the other number is _________?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 558. Let's learn the simple trick behind it.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on. Which of the given options follows the same set of operations as in question?\n(NOTE \u2013 A two\/three-digit number cannot be broken into individual digits for operations, e.g., if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.)\n6 - 11 - 22 - 32; 9 - 14 - 28 - 38\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick of the patten is the +5, x2, +10 per letter in the sequence. The correct answer is 13-18-36-4.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"According to the Government of India, flash floods in July 2023 in which state severely disrupted the functioning of several power stations?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Himachal Pradesh\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"In a certain code language, 'VAJR' is coded as '102' and 'DOTG' is coded as '92'. What is the code for 'ZELW' in the given code language?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 132, but how, you should check this out from here.\"\n    }\n    },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Based on the English alphabetical order, three of the following four letter cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group?\n(Note: The odd one out is not based on the number of consonants\/vowels or their position in the letter cluster)\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"This is option based and you must check all options to find out. Let's learn the trick.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following reflects the structural adjustment in India\u2019s monetary policy after the 1991 economic reforms?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Market-determined interest rates with reduced RBI intervention.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"The formation of a spectrum by a glass prism occurs due to ________.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"It is Dispersion.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which nutrient is primarily responsible for building and repairing tissues in the human body?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Proteins\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"If a : b :: b : c; c = 4a; and b = 6, find the positive value of c.?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 12. Let's learn the trick behind it to solve it within 3 seconds.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following island groups in India is known to have an active volcano on Barren Island?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Andaman and Nicobar Islands\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Two trains are moving in opposite directions at speeds of 110 km\/hr and 120 km\/hr. The length of one train is 450 m. The time taken by them to cross each other is 12 seconds. The length (in m) of the other train (rounded off to 2 decimal places) is______?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"In order to figure it out, check the explanation. How, check out.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Reema and Juhi, when each is working alone, can complete a piece of work in, respectively, 12 days and 36 days. Each work on alternate days, with Reema and Juhi starting to work on Day 1 and Day 2, respectively. How many days in all will it take to complete the work?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 18, let's learn the trick to find out quickly.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Refer to the following letter, number and symbol series and answer the question that follows. Counting to be done from left to right only. All numbers are single-digit numbers.\n(Left) G 6 E * @ # 3 D 2 % 7 4 Y & 5 + C R K S T (Right)\nHow many such numbers are there each of which is immediately preceded by a symbol and also immediately followed by a letter?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"It's 1, how, let's check out and learn the trick to solve it quickly.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"What will come in the place of the \u2018?\u2019 in the following equation, if \u2018+\u2019 and \u2018\u2212\u2019 are interchanged and \u2018\u00d7\u2019 and \u2018\u00f7\u2019 are interchanged?\n156 \u00d7 12 \u2212 13 \u00f7 8 + 71 = ?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \" Learn the trick and pattern to figure out questions like these in very short time.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"A conical tent is to be made for a school event. The radius of the base is 7 metres, and the height of the tent is 24 metres. A decorative cloth is to be used to cover the entire curved surface area of the tent. The cloth costs \u20b940 per square metre. What will be the total cost of the cloth required? (use $\\pi = \\frac{22}{7}$)\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Apply the formula input the value of a inside of it and you get your answer.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"The Tamil literary work Iraiyanar Ahapporul is dated to which century?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"8th century CE\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Line AB is parallel to line CD. A transversal PQ intersects AB at M and CD at N. If $\\angle{PMB} = (5x)^\\circ$, $\\angle{BMN} = (3x + 2y)^\\circ$ and $\\angle{DNQ} = (x + 3y)^\\circ$, then find the value of $\\angle{BMN}$.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Need calculation skill to solve this one fastest, learn how to do it quickly and the answer is $105^\\circ$.\"\n    }\n  }\n  }\n}\n<\/script>\n\n\n\n<div class=\"wp-block-coblocks-accordion\">\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 26<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following is NOT an important monument inside the Daulatabad Fort Maharashtra, India?<\/strong><br><br>A. Jami Masjid<br>B. Bharatmata Mandir<br>C. Chand Minar<br>D. Sikandra Fort<\/p>\n\n\n\n<p class=\"is-style-success\">Which is <strong>NOT inside Daulatabad Fort<\/strong>?<br>Jami Masjid \u2714\ufe0f (inside)<br>Chand Minar \u2714\ufe0f (inside)<br>Bharatmata Mandir \u2714\ufe0f (inside region)<br>\ud83d\udc49 <strong>Sikandra Fort<\/strong> is in Agra, not Daulatabad<br>\u2705 Answer: <strong>D. Sikandra Fort<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 27<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In the context of India&#8217;s pre-1991 economic structure, which of the following best characterizes the contradiction between sectoral GDP contribution and employment absorption?<\/strong><br><br>A. Manufacturing became the primary employment generator<br>B. Agriculture contributed declining GDP share but absorbed majority employment<br>C. Industry contributed the most to GDP and employment<br>D. Services led GDP growth and employment generation equally<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Core Concept:<\/strong><br>Agriculture \u2192 <strong>low GDP share<\/strong><br>But \u2192 <strong>maximum employment<\/strong><br>\u2705 Answer: <strong>B. Agriculture contributed declining GDP share but absorbed majority employment<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 28<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Side PQ of a cyclic quadrilateral PQRS is produced to the point T. If <\/strong><math data-latex=\"\\angle{RQT} = 58^\\circ\"><semantics><mrow><mi>\u2220<\/mi><mrow><mi>R<\/mi><mi>Q<\/mi><mi>T<\/mi><\/mrow><mo>=<\/mo><msup><mn>58<\/mn><mo>\u2218<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\angle{RQT} = 58^\\circ<\/annotation><\/semantics><\/math><strong>, then the measure of <\/strong><math data-latex=\"\\angle{PSR}\"><semantics><mrow><mi>\u2220<\/mi><mrow><mi>P<\/mi><mi>S<\/mi><mi>R<\/mi><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\angle{PSR}<\/annotation><\/semantics><\/math><strong> is____?<\/strong><br><br>A. 116\u00b0<br>B. 122\u00b0<br>C. 29\u00b0<br>D. 58\u00b0<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Cyclic Quadrilateral<br><\/strong>Concept:<br>Exterior angle = interior opposite angle<br>\u2220RQT=\u2220PSR<br>Given: 58\u00b0<br>\u2705 Answer: <strong>D. 58\u00b0<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 29<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Under the ELI scheme approved in July 2025, first-time employees will benefit by getting one month\u2019s wage under this scheme, up to what amount?<br><\/strong><br>A. \u20b915,000<br>B. \u20b910,000<br>C. \u20b912,000<br>D. \u20b920,000<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>A. \u20b915,000<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 30<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only four people have exams after V. Only four people have exams before S. P has the exam after R but before V. T has the exam on some day after Q but not on Sunday. How many people have exams between Q and U?<br><\/strong><br>A. One<br>B. Four<br>C. Three<br>D. Two<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Scheduling Puzzle<\/strong><br>Days: Mon\u2013Sun (7)<br>4 after V \u2192 V = Wed<br>4 before S \u2192 S = Fri<br>P between R and V<br>T after Q (not Sunday)<br><br>After arrangement:<br>\ud83d\udc49 People between Q and U = <strong>2<\/strong><br>\u2705 Answer: <strong>D. Two<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 31<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which type of touchscreen functions by pressing two flexible layers together, allowing it to detect input from a non-conductive object like a fingernail or plastic stylus?<\/strong><br><br>A. Capacitive touch<br>B. Infrared grid touch<br>C. Surface acoustic wave<br>D. Resistive touch<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>D. Resistive touch<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 32<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Suman, Kunal, and Pooja invest \u20b91050, \u20b91510, and \u20b91280 respectively to start a business. If the profit at the end of the year is \u20b91650, then what is the share of Pooja in the profit?<br><\/strong><br>A. \u20b9550<br>B. \u20b9549<br>C. \u20b9551<br>D. \u20b9548<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Partnership<\/strong><br>Total investment:<br>1050 + 1510 + 1280 = 3840<br>Pooja share:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mn>1280<\/mn><mn>3840<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>1650<\/mn><mo>=<\/mo><mn>550<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{1280}{3840} \u00d7 1650 = 550<\/annotation><\/semantics><\/math><br><strong>\u2705 Answer: A. \u20b9550<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 33<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>J, K, L, R, S and T live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. Only two people live between J and T. Only two people live between S and K. Only one person lives between L and K. L lives on floor number 1. J lives above K. How many people live between R and S?<\/strong><br><br>A. Three<br>B. Four<br>C. Two<br>D. One<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Floor Puzzle<\/strong><br>L = 1<br>One between L &amp; K \u2192 K = 3<br>Two between S &amp; K \u2192 S = 6<br>Two between J &amp; T \u2192 J = 5, T = 2<br>J above K \u2714\ufe0f<br>Remaining R = 4<br>\ud83d\udc49 Between R(4) and S(6) \u2192 1 person (5)<br>\u2705 Answer: <strong>D. One<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 34<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>The LCM of two numbers is 1116 and their HCF is 186. If one of the number is 372, then the other number is <strong><em>_<\/em><\/strong>_?<\/strong><br><br>A. 930<br>B. 465<br>C. 558<br>D. 372<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>LCM\u2013HCF<\/strong><br>Formula:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>L<\/mi><mi>C<\/mi><mi>M<\/mi><mo>\u00d7<\/mo><mi>H<\/mi><mi>C<\/mi><mi>F<\/mi><mo>=<\/mo><mi>P<\/mi><mi>r<\/mi><mi>o<\/mi><mi>d<\/mi><mi>u<\/mi><mi>c<\/mi><mi>t<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">LCM \u00d7 HCF = Product<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>1116<\/mn><mo>\u00d7<\/mo><mn>186<\/mn><mo>=<\/mo><mn>372<\/mn><mo>\u00d7<\/mo><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">1116 \u00d7 186 = 372 \u00d7 x<\/annotation><\/semantics><\/math><br>\ud83d\udc49 x = 558<br><strong>\u2705 Answer: C. 558<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 35<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Below are given two sets of numbers. In each set of numbers, a certain mathematical operation on the first number results in the second number. Similarly, certain mathematical operation on the second number results in the third number and so on. Which of the given options follows the same set of operations as in question?<br>(NOTE \u2013 A two\/three-digit number cannot be broken into individual digits for operations, e.g., if 37 is followed by 10, the operation cannot be 3+7 as a two-digit number cannot be broken into individual digits.)<br>6 &#8211; 11 &#8211; 22 &#8211; 32; 9 &#8211; 14 &#8211; 28 &#8211; 38<\/strong><br><br>A. 7-12-24-14<br>B. 14-19-38-58<br>C. 13-18-36-46<br>D. 12-17-34-54<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Pattern<\/strong><br>Given:<br>6 \u2192 11 \u2192 22 \u2192 32<br>9 \u2192 14 \u2192 28 \u2192 38<br>Pattern:<br>+5, \u00d72, +10<br>Check option:<br>13 \u2192 18 (+5)<br>18 \u2192 36 (\u00d72)<br>36 \u2192 46 (+10) \u2714\ufe0f<br><strong>\u2705 Answer: C. 13-18-36-4<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 36<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>According to the Government of India, flash floods in July 2023 in which state severely disrupted the functioning of several power stations?<\/strong><br><br>A. Sikkim<br>B. Uttarakhand<br>C. Himachal Pradesh<br>D. Arunachal Pradesh<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>C. Himachal Pradesh<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 37<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In a certain code language, &#8216;VAJR&#8217; is coded as &#8216;102&#8217; and &#8216;DOTG&#8217; is coded as &#8217;92&#8217;. What is the code for &#8216;ZELW&#8217; in the given code language?<\/strong><br><br>A. 121<br>B. 132<br>C. 124<br>D. 138<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Coding<\/strong><br>Pattern = sum of letter positions<br>VAJR:<br>22+1+10+18 = 51 \u2192 \u00d72 = 102<br>DOTG:<br>4+15+20+7 = 46 \u2192 \u00d72 = 92<br>ZELW:<br>26+5+12+23 = 66 \u2192 \u00d72 = <strong>132<\/strong><br><strong>\u2705 Answer: B. 132<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 38<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Based on the English alphabetical order, three of the following four letter cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group?<br>(Note: The odd one out is not based on the number of consonants\/vowels or their position in the letter cluster)<\/strong><br><br>A. QU-TX<br>B. ZD-CG<br>C. KO-NR<br>D. FI-JM<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\ud83d\udc49 Just check first letter shift:<br><\/strong>Q \u2192 T = +3<br>Z \u2192 C = +3<br>K \u2192 N = +3<br>F \u2192 J = +4 \u274c<br><strong>\u2705 Answer: D. FI-JM<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 39<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following reflects the structural adjustment in India\u2019s monetary policy after the 1991 economic reforms?<br><\/strong><br>A. Market-determined interest rates with reduced RBI intervention<br>B. Expansion of currency supply through deficit financing<br>C. Elimination of open market operations as a regulatory tool<br>D. Controlled lending rates for agriculture and MSMEs<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>A. Market-determined interest rates with reduced RBI intervention<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 40<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>The formation of a spectrum by a glass prism occurs due to <strong><em>__<\/em><\/strong>.<\/strong><br><br>A. Scattering<br>B. Refraction<br>C. Dispersion<br>D. Reflection<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>C. Dispersion<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 41<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which nutrient is primarily responsible for building and repairing tissues in the human body?<\/strong><br><br>A. Vitamins<br>B. Carbohydrates<br>C. Proteins<br>D. Fats<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\u2705 Answer: C. Proteins<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 42<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>If a : b :: b : c; c = 4a; and b = 6, find the positive value of c.<\/strong><br><br>A. 8<br>B. 16<br>C. 20<br>D. 12<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Ratio<\/strong><br>Given:<br>a : b = b : c<br>c = 4a, b = 6<br>\u21d2 b<sup>2<\/sup> = ac<br>36 = a(4a)<br>36 = 4a<sup>2<\/sup><br><math data-latex=\"a^2 = \\frac{36}{4} \\\\ a^2 = 9 \\\\ a = \\sqrt{9}\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>=<\/mo><mfrac><mn>36<\/mn><mn>4<\/mn><\/mfrac><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>=<\/mo><mn>9<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mi>a<\/mi><mo>=<\/mo><msqrt><mn>9<\/mn><\/msqrt><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">a^2 = \\frac{36}{4} \\\\ a^2 = 9 \\\\ a = \\sqrt{9}<\/annotation><\/semantics><\/math><br>\u21d2 a = 3<br>c = 4a = 12<br><strong>\u2705 Answer: C. 12<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 43<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following island groups in India is known to have an active volcano on Barren Island?<\/strong><br><br>A. Andaman and Nicobar Islands<br>B. Lakshadweep Islands<br>C. Minicoy Islands<br>D. Rameswaram Islands<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\u2705 Answer: A. Andaman and Nicobar Islands<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 44<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Two trains are moving in opposite directions at speeds of 110 km\/hr and 120 km\/hr. The length of one train is 450 m. The time taken by them to cross each other is 12 seconds. The length (in m) of the other train (rounded off to 2 decimal places) is______?<\/strong><br><br>A. 316.67<br>B. 318.7<br>C. 317.34<br>D. 314.28<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Trains<\/strong><br>Speed = 110+120 = 230 km\/h<br><strong>The simple trick to convert to m\/s is by multiplying it with 5\/18.<\/strong><br>\u2192 230 \u00d7 5\/18 = 63.89 m\/s<br>Distance = 63.89 \u00d7 12 = 766.68 m<br>Other train = 766.68 \u2212 450 = <strong>316.67 m<\/strong><br>\u2705 Answer: <strong>A. 316.67<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 45<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Reema and Juhi, when each is working alone, can complete a piece of work in, respectively, 12 days and 36 days. Each work on alternate days, with Reema and Juhi starting to work on Day 1 and Day 2, respectively. How many days in all will it take to complete the work?<\/strong><br><br>A. 16<br>B. 24<br>C. 18<br>D. 28<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Work<\/strong><br>Sohan = 1\/12<br>Rohan = 1\/36<br>2 days work: (1 cycle means 2 days)<br>1\/12 + 1\/36<br><math data-latex=\"\\frac{3 + 1}{36} \\\\ \\frac{4}{36}\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><mfrac><mrow><mn>3<\/mn><mo>+<\/mo><mn>1<\/mn><\/mrow><mn>36<\/mn><\/mfrac><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mfrac><mn>4<\/mn><mn>36<\/mn><\/mfrac><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\\frac{3 + 1}{36} \\\\ \\frac{4}{36}<\/annotation><\/semantics><\/math><br>= 1\/9<br>9 cycles \u2192 18 days = full work<br><strong>\ud83c\udfaf FINAL ANSWER: C. 18\u200b<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 46<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Refer to the following letter, number and symbol series and answer the question that follows. Counting to be done from left to right only. All numbers are single-digit numbers.<br>(Left) G 6 E * @ # 3 D 2 % 7 4 Y &amp; 5 + C R K S T (Right)<br>How many such numbers are there each of which is immediately preceded by a symbol and also immediately followed by a letter?<\/strong><br><br>A. 2<br>B. 1<br>C. 0<br>D. 3<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Pattern:<br><\/strong>It&#8217;s only number 3 that follows the requirements.<br># 3 D<br><strong>\u2705 Answer: B. 1<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 47<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>What will come in the place of the \u2018?\u2019 in the following equation, if \u2018+\u2019 and \u2018\u2212\u2019 are interchanged and \u2018\u00d7\u2019 and \u2018\u00f7\u2019 are interchanged?<br>156 \u00d7 12 \u2212 13 \u00f7 8 + 71 = ?<\/strong><br><br>A. 41<br>B. 45<br>C. 46<br>D. 43<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Operator Change<\/strong><br>Swap:<br>\u00d7\u2194\u00f7, +\u2194\u2212<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>156<\/mn><mo>\u00f7<\/mo><mn>12<\/mn><mo>+<\/mo><mn>13<\/mn><mo>\u00d7<\/mo><mn>8<\/mn><mo>\u2212<\/mo><mn>71<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">156 \u00f7 12 + 13 \u00d7 8 \u2212 71<\/annotation><\/semantics><\/math><br>= 13 + 104 \u2212 71 = <strong>46<\/strong><br><strong>\u2705 Answer: C. 46<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 48<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>A conical tent is to be made for a school event. The radius of the base is 7 metres, and the height of the tent is 24 metres. A decorative cloth is to be used to cover the entire curved surface area of the tent. The cloth costs \u20b940 per square metre. What will be the total cost of the cloth required? (use <\/strong><math data-latex=\"\\pi = \\frac{22}{7}\"><semantics><mrow><mi>\u03c0<\/mi><mo>=<\/mo><mfrac><mn>22<\/mn><mn>7<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\pi = \\frac{22}{7}<\/annotation><\/semantics><\/math><strong>)<\/strong><br><br>A. \u20b921,000<br>B. \u20b922,000<br>C. \u20b923,800<br>D. \u20b922,800<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Cone Surface Area<\/strong><br>l = \u221a(7\u00b2 + 24\u00b2) = 25<br>CSA = \u03c0rl = \u03c0\u00d77\u00d725 = 175\u03c0<br>\u2248 550 m\u00b2<br>Cost = 550 \u00d7 40 = \u20b922,000<br><strong>\u2705 Answer: B. \u20b922,000<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 49<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>The Tamil literary work Iraiyanar Ahapporul is dated to which century?<\/strong><br><br>A. 5th century CE<br>B. 7th century CE<br>C. 8th century CE<br>D. 11th century CE<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\u2705 Answer: C. 8th century CE<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 50<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\">Line AB is parallel to line CD. A transversal PQ intersects AB at M and CD at N. If <math data-latex=\"\\angle{PMB} = (5x)^\\circ\"><semantics><mrow><mi>\u2220<\/mi><mrow><mi>P<\/mi><mi>M<\/mi><mi>B<\/mi><\/mrow><mo>=<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>5<\/mn><mi>x<\/mi><msup><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>\u2218<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\angle{PMB} = (5x)^\\circ<\/annotation><\/semantics><\/math>, <math data-latex=\"\\angle{BMN} = (3x + 2y)^\\circ\"><semantics><mrow><mi>\u2220<\/mi><mrow><mi>B<\/mi><mi>M<\/mi><mi>N<\/mi><\/mrow><mo>=<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>3<\/mn><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><msup><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>\u2218<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\angle{BMN} = (3x + 2y)^\\circ<\/annotation><\/semantics><\/math> and <math data-latex=\"\\angle{DNQ} = (x + 3y)^\\circ\"><semantics><mrow><mi>\u2220<\/mi><mrow><mi>D<\/mi><mi>N<\/mi><mi>Q<\/mi><\/mrow><mo>=<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><mi>y<\/mi><msup><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>\u2218<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\angle{DNQ} = (x + 3y)^\\circ<\/annotation><\/semantics><\/math>, then find the value of <math data-latex=\"\\angle{BMN}\"><semantics><mrow><mi>\u2220<\/mi><mrow><mi>B<\/mi><mi>M<\/mi><mi>N<\/mi><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\angle{BMN}<\/annotation><\/semantics><\/math>.<br><br>A. <math data-latex=\"112^\\circ\"><semantics><msup><mn>112<\/mn><mo>\u2218<\/mo><\/msup><annotation encoding=\"application\/x-tex\">112^\\circ<\/annotation><\/semantics><\/math><br>B. <math data-latex=\"100^\\circ\"><semantics><msup><mn>100<\/mn><mo>\u2218<\/mo><\/msup><annotation encoding=\"application\/x-tex\">100^\\circ<\/annotation><\/semantics><\/math><br>C. <math data-latex=\"98^\\circ\"><semantics><msup><mn>98<\/mn><mo>\u2218<\/mo><\/msup><annotation encoding=\"application\/x-tex\">98^\\circ<\/annotation><\/semantics><\/math><br>D. <math data-latex=\"105^\\circ\"><semantics><msup><mn>105<\/mn><mo>\u2218<\/mo><\/msup><annotation encoding=\"application\/x-tex\">105^\\circ<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\ud83d\udd34 Given Setup<\/strong><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>A<\/mi><mi>B<\/mi><mo>\u2225<\/mo><mi>C<\/mi><mi>D<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">AB \\parallel CD<\/annotation><\/semantics><\/math><br>Transversal <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mi>Q<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">PQ<\/annotation><\/semantics><\/math> cuts them at <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>M<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">M<\/annotation><\/semantics><\/math> and <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>N<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">N<\/annotation><\/semantics><\/math><br>Angles:<br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>P<\/mi><mi>M<\/mi><mi>B<\/mi><mo>=<\/mo><mn>5<\/mn><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle PMB = 5x<\/annotation><\/semantics><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>B<\/mi><mi>M<\/mi><mi>N<\/mi><mo>=<\/mo><mn>3<\/mn><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle BMN = 3x + 2y<\/annotation><\/semantics><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>D<\/mi><mi>N<\/mi><mi>Q<\/mi><mo>=<\/mo><mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><mi>y<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle DNQ = x + 3y<\/annotation><\/semantics><\/math><br><br>Find:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>B<\/mi><mi>M<\/mi><mi>N<\/mi><mo>=<\/mo><mo stretchy=\"false\">?<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\angle BMN = ?<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 1: Identify key angle relations<\/strong><br>\ud83d\udc49 At point <strong>M<\/strong>, both angles lie on a straight line:<br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>P<\/mi><mi>M<\/mi><mi>B<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle PMB<\/annotation><\/semantics><\/math> and <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>B<\/mi><mi>M<\/mi><mi>N<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle BMN<\/annotation><\/semantics><\/math>\u2220BMN are <strong>linear pair<\/strong><br>So:<br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>P<\/mi><mi>M<\/mi><mi>B<\/mi><mo>+<\/mo><mi mathvariant=\"normal\">\u2220<\/mi><mi>B<\/mi><mi>M<\/mi><mi>N<\/mi><mo>=<\/mo><msup><mn>180<\/mn><mo>\u2218<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\angle PMB + \\angle BMN = 180^\\circ<\/annotation><\/semantics><\/math><br><br><strong>\u270f\ufe0f Apply:<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>5<\/mn><mi>x<\/mi><mo>+<\/mo><mo stretchy=\"false\">(<\/mo><mn>3<\/mn><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>180<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">5x + (3x + 2y) = 180<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>8<\/mn><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><mo>=<\/mo><mn>180<\/mn><mspace width=\"1em\"><\/mspace><mtext>(1)<\/mtext><\/mrow><annotation encoding=\"application\/x-tex\">8x + 2y = 180 \\quad \\text{(1)}<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 2: Use parallel line property<\/strong><br>\ud83d\udc49 <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>B<\/mi><mi>M<\/mi><mi>N<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle BMN<\/annotation><\/semantics><\/math> and <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>D<\/mi><mi>N<\/mi><mi>Q<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle DNQ<\/annotation><\/semantics><\/math> are <strong>alternate interior angles<\/strong><br>So:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>3<\/mn><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><mo>=<\/mo><mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><mi>y<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">3x + 2y = x + 3y<\/annotation><\/semantics><\/math><br><strong>\u270f\ufe0f Solve:<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>3<\/mn><mi>x<\/mi><mo>\u2212<\/mo><mi>x<\/mi><mo>=<\/mo><mn>3<\/mn><mi>y<\/mi><mo>\u2212<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">3x &#8211; x = 3y &#8211; 2y<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>2<\/mn><mi>x<\/mi><mo>=<\/mo><mi>y<\/mi><mspace width=\"1em\"><\/mspace><mtext>(2)<\/mtext><\/mrow><annotation encoding=\"application\/x-tex\">2x = y \\quad \\text{(2)}<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 3: Substitute into (1)<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>8<\/mn><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mo stretchy=\"false\">(<\/mo><mn>2<\/mn><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>180<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">8x + 2(2x) = 180<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>8<\/mn><mi>x<\/mi><mo>+<\/mo><mn>4<\/mn><mi>x<\/mi><mo>=<\/mo><mn>180<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">8x + 4x = 180<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>12<\/mn><mi>x<\/mi><mo>=<\/mo><mn>180<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">12x = 180<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mn>15<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">x = 15<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 4: Find y<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mn>2<\/mn><mi>x<\/mi><mo>=<\/mo><mn>30<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">y = 2x = 30<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 5: Final answer<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi mathvariant=\"normal\">\u2220<\/mi><mi>B<\/mi><mi>M<\/mi><mi>N<\/mi><mo>=<\/mo><mn>3<\/mn><mi>x<\/mi><mo>+<\/mo><mn>2<\/mn><mi>y<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\angle BMN = 3x + 2y<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mn>3<\/mn><mo stretchy=\"false\">(<\/mo><mn>15<\/mn><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><mn>2<\/mn><mo stretchy=\"false\">(<\/mo><mn>30<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">= 3(15) + 2(30)<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mn>45<\/mn><mo>+<\/mo><mn>60<\/mn><mo>=<\/mo><msup><mn>105<\/mn><mo>\u2218<\/mo><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">= 45 + 60 = 105^\\circ<\/annotation><\/semantics><\/math><br><strong>\u2705 Answer: D<\/strong><\/p>\n<\/div><\/details><\/div>\n<\/div>\n\n\n\n<!--nextpage-->\n\n\n\n<h2 class=\"wp-block-heading\">RRB NTPC Graduate CBT 2 (16 March 2026) \u2013 <strong>Exam Test With Quickest Solutions<\/strong> (Part 3: Question 51-75)<\/h2>\n\n\n\n<p>The part 3 contains questions from 51 to 75. Railway Recruitment Board (RRB) conducts the RRB NTPC Exam like 2026 to fill vacancies for Graduate and Undergraduate posts under the Non-Technical Popular Categories (NTPC). Here you will try to attempt the real RRB NTPC Graduate CBT 1 exam, which was conducted on 16 March, 2026 Shift 2. The competitive exam is divided into 4 parts each with 25 questions. You are not just taking the test but also learning from the solutions and explanations.<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Exam Instructions<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total Questions: <strong>25<\/strong> (This is Part 3 of Total 100 Questions.)<\/li>\n\n\n\n<li>Attempt like real exam (no scrolling to answers immediately \ud83d\ude09)<\/li>\n\n\n\n<li>Each question includes:\n<ul class=\"wp-block-list\">\n<li>\u2705 Correct Answer<\/li>\n\n\n\n<li>\ud83e\udde0 Shortcut Trick<\/li>\n\n\n\n<li>\u274c Why other options are wrong<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n        <script>\n          window.KQ_FRONT = window.KQ_FRONT || {};\n          window.KQ_FRONT.quiz_id = 15;\n          window.KQ_FRONT.rest = \"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/kq\/v1\/\";\n        <\/script>\n        <div id=\"kapil-quiz-15\"\n             class=\"kapil-quiz-container\"\n             data-kq-app\n             data-quiz-id=\"15\">\n            <div class=\"kq-loading\">Loading quiz...<\/div>\n        <\/div>\n        \n    <div id=\"kq-auth-modal\" class=\"kq-auth-modal\" style=\"display:none;\">\n      <div class=\"kq-auth-modal-inner\">\n        <button id=\"kq-auth-close\" class=\"kq-auth-close\" aria-label=\"Close\">\u2716<\/button>\n\n        <!-- TAB NAV -->\n        <div class=\"kq-auth-tabs\" role=\"tablist\">\n          <button class=\"kq-tab active\" data-tab=\"register\" type=\"button\" role=\"tab\" aria-selected=\"true\">Register<\/button>\n          <button class=\"kq-tab\" data-tab=\"login\" type=\"button\" role=\"tab\" aria-selected=\"false\">Login<\/button>\n          <button class=\"kq-tab\" data-tab=\"forgot\" type=\"button\" role=\"tab\" aria-selected=\"false\">Forgot<\/button>\n        <\/div>\n\n        <!-- PANELS -->\n        <div class=\"kq-auth-panel-wrap\">\n\n          <!-- REGISTER -->\n          <div class=\"kq-auth-panel\" data-panel=\"register\" style=\"display:block\">\n            <div class=\"kq-auth-card\">\n              <h3>Register<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-username\" placeholder=\"Username\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-email\" placeholder=\"Email\" type=\"email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-password\" placeholder=\"Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-signup-btn\" class=\"button kq-btn-small\">Register<\/button>\n              <small style=\"display:block;margin-top:8px;\">Already registered? Use Login tab.<\/small>\n            <\/div>\n          <\/div>\n\n          <!-- LOGIN -->\n          <div class=\"kq-auth-panel\" data-panel=\"login\" style=\"display:none\">\n            <div class=\"kq-auth-card\">\n              <h3>Login<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-login-identity\" placeholder=\"Username or Email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-login-password\" placeholder=\"Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-login-btn\" class=\"button kq-btn-small\">Login<\/button>\n            <\/div>\n          <\/div>\n\n          <!-- FORGOT -->\n          <div class=\"kq-auth-panel\" data-panel=\"forgot\" style=\"display:none\">\n            <div class=\"kq-auth-card\">\n              <h3>Forgot Password<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-forgot-identity\" placeholder=\"Username or Email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-forgot-newpass\" placeholder=\"New Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-forgot-btn\" class=\"button kq-btn-small\">Update Password<\/button>\n            <\/div>\n          <\/div>\n\n        <\/div>\n\n      <\/div>\n    <\/div>\n    \n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Full Explanation of The Competitive Exam Questions<\/h2>\n\n\n\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [{\n    \"@type\": \"Question\",\n    \"name\": \"Which ions help chlorophyll to absorb light?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Mg.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Vihaana walks 11 km North, then turns left and walks 7 km. She then turns left again and walks 11 km. She turns right and walks 2 km to reach point R. How far and in which direction is point R from the starting point?\n(All turns are 90- degree turns only, unless specified.)\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 9 km, West and learn the real way to solve.\"}\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"The average of 11 results is 61. If the average of the first 6 results is 64 and that of the last 6 is 61, find the 6th result.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 79. Let's learn the trick to solve it in no time.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following apparent forces, caused by Earth\u2019s rotation, deflects winds to the right in the Northern Hemisphere and to the left in the Southern Hemisphere?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Out of all the options, Coriolis force is the right one\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?\nJMO 50 MPR 61 PSU 72 SVX 83 ?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is VYA 94, but how, let's learn.\"} }\n,    {\n    \"@type\": \"Question\",\n    \"name\": \"What is the mode of the data given below? [Give your answer correct to 2 decimal places.]\n$$ \\begin{array}{|c|c|} \\hline \\textbf{Ago in years} & \\textbf{No. of Students} \\\\ \\hline {20-30} & {36} \\\\ \\hline {30-40} & {29} \\\\ \\hline {40-50} & {35} \\\\ \\hline {50-60} & {22} \\\\ \\hline {60-70} & {18} \\\\ \\hline {70-80} & {38}\\\\ \\hline {80-90} & {26} \\\\ \\hline \\end{array} $$\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 76.25, let's learn how to solve it quickly.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statement.\nStatements: All tea is a snack. All tea is brunch. All brunches are dinner.\nConclusions:\n(I) All tea is dinner.\n(II) Some brunches are snacks.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Both conclusions (I) and (II) follow.. Let's learn how to solve it in 3 seconds.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following introduced dyarchy by dividing subjects into Reserved and Transferred lists?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Government of India Act, 1919.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"A shopkeeper purchased 59 dozens of articles at the rate of \u20b9520 per dozen. He sold each one of them at the rate of \u20b952. What percentage profit did he make?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 20%. Let's learn the trick to solve it in 3 seconds.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Solve the following system of 3 equations in 3 unknowns.\nx \u2212 3z = \u22125\n2x \u2212 y + 2z = 16\n7x \u2212 3y \u2212 5z = 19\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Let's learn the simple steps to solve it in no time. The process might seem long but it isn't difficult. Let's learn the trick, the correct answer is x = 4, y = \u22122, z = 3.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"The price of fuel decreases by 40%, 60% and 60% in three successive months, but increases by 70% in the fourth month. What is the percentage increase or decrease in the price of fuel in the fourth month as compared to its original price?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Decrease by 83.68% is the right answer to choose.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"The average of the first 62 even natural numbers is:\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 63, let's learn the simple trick to solve it quickly.\"\n    }\n    },\n{\n    \"@type\": \"Question\",\n    \"name\": \"In the Chola empire, the tax-free lands donated to Brahmins where they settled were known as ___________.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Agraharam.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?\n# : EGC :: QSO : %\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"There is a simple trick behind it. You must understand the pattern behind it. The correct answer out of all option is # = HJF; % = NPL.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Select the set in which the numbers are related in the same way as are the numbers of the following sets.\n(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 \u2013 Operations on 13 such as adding \/ subtracting \/ multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)\n(44, 968, 22)\n(26, 650, 25)\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is (18, 108, 6). Let's learn the right trick to solve it quickly.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which district in Mizoram was recognised as the best-performing district in NITI Aayog's SDG Index NE Districts 2023\u201324?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Hnahthial. We have explained it simply for you.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which ratio is the largest among 5 : 12, 14 : 31, 8 : 33 and 17 : 39?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"It is a simple mathematics question, you must be fast enough to solve it or you know it.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"100 men have provisions for 26 days. If 50 men have left, for how many days the same provisions would last for the remaining men?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"A simple mathematics question, but there is a simple trick behind it to solve it within three seconds. The correct answer is 52.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following reflects the Gandhian ideals incorporated as Directive Principles of State Policy in the Constitution of India?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Promoting cottage industries in rural areas\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"A dealer buys two articles X and Y for \u20b9800 each. He marks each of them at the same price. He sells X by giving two successive discounts of 45% and 73% and still earns \u20b9523 as profit. If he sells Y at a single discount of 89%, then what is the profit percentage on Y?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 22.5%. Let's learn the way to solve it in 3 second.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Who among the following is NOT directly associated with the Prarthana Samaj?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Debendranath Tagore\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Simplify: $\\frac{\\sqrt[3]{2744}}{\\sqrt[4]{256}} \\times \\frac{2}{42} \\times 72$\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"A simple mathematics question, but there is a simple trick behind it to solve it within three seconds. The correct answer is 12.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"In 2025, which United Nations body released the World Urbanization Prospects report using the Degree of Urbanization methodology?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is UN Department of Economic and Social Affairs (UN DESA).\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"The acid present in the atmosphere of Venus is:\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"In Venus the acid present in atmosphere is H2SO4.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following was the primary objectives of the India-Liberia MoU signed in December 2025?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Enhancing co-operation on medicine quality standards\"\n    }\n  }\n  }\n}\n<\/script>\n\n\n\n<div class=\"wp-block-coblocks-accordion\">\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 51<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which ions help chlorophyll to absorb light?<br><\/strong><br>A. C<br>B. Mg<br>C. Ca<br>D. Na<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Chlorophyll &amp; Ions<\/strong><br>Concept:<br>Chlorophyll molecule contains <strong>magnesium (Mg\u00b2\u207a)<\/strong> at its center<br>This helps in <strong>light absorption during photosynthesis<\/strong><br>\u2705 Answer: <strong>B. Mg<\/strong><\/p>\n\n\n\n<p class=\"is-style-error\"><strong>\u274c Others:<br><\/strong>C \u2192 element, not ion role<br>Ca, Na \u2192 not part of chlorophyll core<\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 52<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Vihaana walks 11 km North, then turns left and walks 7 km. She then turns left again and walks 11 km. She turns right and walks 2 km to reach point R. How far and in which direction is point R from the starting point?<br>(All turns are 90- degree turns only, unless specified.)<\/strong><br><br>A. 9 km, West<br>B. 11 km, East<br>C. 8 km, East<br>D. 10 km, West<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Direction<\/strong><br><strong>Step-by-step:<\/strong><br>Start \u2192 (0,0)<br>North 11 \u2192 (0,11)<br>Left \u2192 West 7 \u2192 (-7,11)<br>Left \u2192 South 11 \u2192 (-7,0)<br>Right \u2192 West 2 \u2192 (-9,0)<br>\ud83d\udc49 Final point = (-9,0)<br>Distance = 9 km<br>Direction = West<br>\u2705 Answer: <strong>A. <strong>9 km, West<\/strong><\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 53<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>The average of 11 results is 61. If the average of the first 6 results is 64 and that of the last 6 is 61, find the 6th result.<\/strong><br><br>A. 81<br>B. 80<br>C. 78<br>D. 79<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Average Trick<\/strong><br>Total of 11 = 11\u00d761 = 671<br>First 6 = 6\u00d764 = 384<br>Last 6 = 6\u00d761 = 366<br>\ud83d\udc49 Middle (6th counted twice)<br>6th = 384 + 366 \u2212 671 = 79<br>\u2705 Answer: <strong>D. 79<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 54<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following apparent forces, caused by Earth\u2019s rotation, deflects winds to the right in the Northern Hemisphere and to the left in the Southern Hemisphere?<br><\/strong><br>A. Gravitational force<br>B. Pressure gradient force<br>C. Frictional force<br>D. Coriolis force<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>D. Coriolis force<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 55<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?<br>JMO 50 MPR 61 PSU 72 SVX 83 ?<\/strong><br><br>A. VEO 93<br>B. VXZ 93<br>C. VYA 94<br>D. VZZ 94<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Coding Series<\/strong><br>Pattern:<br>Letters:<br>J\u2192M\u2192P\u2192S \u2192 +3<br>M\u2192P\u2192S\u2192V \u2192 +3<br>O\u2192R\u2192U\u2192X \u2192 +3<br>Next:<br>V Y A<br>Numbers:<br>50 \u2192 61 \u2192 72 \u2192 83 \u2192 +11<br>Next = 94<br><strong>\u2705 Answer: C. VYA 94<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 56<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\">What is the mode of the data given below? [Give your answer correct to 2 decimal places.]<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Ago in years<\/th><th>No. of Students<\/th><\/tr><\/thead><tbody><tr><td>20-30<\/td><td>36<\/td><\/tr><tr><td>30-40<\/td><td>29<\/td><\/tr><tr><td>40-50<\/td><td>35<\/td><\/tr><tr><td>50-60<\/td><td>22<\/td><\/tr><tr><td>60-70<\/td><td>18<\/td><\/tr><tr><td>70-80<\/td><td>38<\/td><\/tr><tr><td>80-90<\/td><td>26<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"is-style-info\">A. 74.25<br>B. 72.25<br>C. 78.25<br>D. 76.25<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Mode (Grouped Data)<\/strong><br>Modal class = 70\u201380 (highest freq = 38)<br>Formula:<br>Mode = <math data-latex=\"L + \\frac{f_1 - f_0}{2f_1 - f_0 - f_2} \\times h\"><semantics><mrow><mi>L<\/mi><mo>+<\/mo><mfrac><mrow><msub><mi>f<\/mi><mn>1<\/mn><\/msub><mo>\u2212<\/mo><msub><mi>f<\/mi><mn>0<\/mn><\/msub><\/mrow><mrow><mn>2<\/mn><msub><mi>f<\/mi><mn>1<\/mn><\/msub><mo>\u2212<\/mo><msub><mi>f<\/mi><mn>0<\/mn><\/msub><mo>\u2212<\/mo><msub><mi>f<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfrac><mo>\u00d7<\/mo><mi>h<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">L + \\frac{f_1 &#8211; f_0}{2f_1 &#8211; f_0 &#8211; f_2} \\times h<\/annotation><\/semantics><\/math><br><br><math data-latex=\"= 70 + \\frac{38 - 18}{2\\times38 - 18 - 26} \\times 10 \\\\ = 70 + \\frac{20}{76 - 44} \\times 10 \\\\ = 70 + \\frac{200}{38} \\\\ = 70 + 6.25 \\\\ = 76.25\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><mo>=<\/mo><mn>70<\/mn><mo>+<\/mo><mfrac><mrow><mn>38<\/mn><mo>\u2212<\/mo><mn>18<\/mn><\/mrow><mrow><mn>2<\/mn><mo>\u00d7<\/mo><mn>38<\/mn><mo>\u2212<\/mo><mn>18<\/mn><mo>\u2212<\/mo><mn>26<\/mn><\/mrow><\/mfrac><mo>\u00d7<\/mo><mn>10<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mo>=<\/mo><mn>70<\/mn><mo>+<\/mo><mfrac><mn>20<\/mn><mrow><mn>76<\/mn><mo>\u2212<\/mo><mn>44<\/mn><\/mrow><\/mfrac><mo>\u00d7<\/mo><mn>10<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mo>=<\/mo><mn>70<\/mn><mo>+<\/mo><mfrac><mn>200<\/mn><mn>38<\/mn><\/mfrac><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mo>=<\/mo><mn>70<\/mn><mo>+<\/mo><mn>6.25<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mo>=<\/mo><mn>76.25<\/mn><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">= 70 + \\frac{38 &#8211; 18}{2\\times38 &#8211; 18 &#8211; 26} \\times 10 \\\\ = 70 + \\frac{20}{76 &#8211; 44} \\times 10 \\\\ = 70 + \\frac{200}{38} \\\\ = 70 + 6.25 \\\\ = 76.25<\/annotation><\/semantics><\/math><br><br>\u2705 Answer: <strong>D. 76.25<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 57<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statement.<br>Statements: All tea is a snack. All tea is brunch. All brunches are dinner.<br>Conclusions:<br>(I) All tea is dinner.<br>(II) Some brunches are snacks.<\/strong><br><br>A. Only conclusion (I) follows.<br>B. Neither conclusion (I) nor (II) follows.<br>C. Both conclusions (I) and (II) follow.<br>D. Only conclusion (II) follows.<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Syllogism<\/strong><br>Given:<br>Tea \u2192 Snack<br>Tea \u2192 Brunch<br>Brunch \u2192 Dinner<br>\ud83d\udc49 Tea \u2192 Dinner \u2714\ufe0f<br>\ud83d\udc49 Some brunch are snacks \u2714\ufe0f (common element: tea)<br>\u2705 Answer: <strong>C. Both conclusions (I) and (II) follow.<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 58<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following introduced dyarchy by dividing subjects into Reserved and Transferred lists?<br><\/strong><br>A. Indian Councils Act, 1892<br>B. Government of India Act, 1909<br>C. Government of India Act, 1935<br>D. Government of India Act, 1919<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>The correct answer is D: Government of India Act, 1919<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 59<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>A shopkeeper purchased 59 dozens of articles at the rate of \u20b9520 per dozen. He sold each one of them at the rate of \u20b952. What percentage profit did he make?<\/strong><br><br>A. 19%<br>B. 23%<br>C. 21%<br>D. 20%<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\ud83d\udd34 Given<\/strong><br>Bought <strong>59 dozens<\/strong> at \u20b9520 per dozen<br>Sold each article at \u20b952<br>\ud83d\udc49 1 dozen = 12 articles<br><br><strong>\ud83e\udde0 Core Concept<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mtext>Profit&nbsp;%<\/mtext><mo>=<\/mo><mfrac><mrow><mi>S<\/mi><mi>P<\/mi><mo>\u2212<\/mo><mi>C<\/mi><mi>P<\/mi><\/mrow><mrow><mi>C<\/mi><mi>P<\/mi><\/mrow><\/mfrac><mo>\u00d7<\/mo><mn>100<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Profit \\%} = \\frac{SP &#8211; CP}{CP} \\times 100<\/annotation><\/semantics><\/math><br><strong>\u26a1 STEP 1: Work PER DOZEN (fastest trick)<\/strong><br>\ud83d\udc49 Always convert to <strong>same unit<\/strong><br>Cost Price per dozen:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>C<\/mi><mi>P<\/mi><mo>=<\/mo><mtext>\u20b9<\/mtext><mn>520<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">CP = \u20b9520<\/annotation><\/semantics><\/math><br>Selling Price per dozen:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>12<\/mn><mo>\u00d7<\/mo><mn>52<\/mn><mo>=<\/mo><mn>624<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">12 \\times 52 = 624<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 STEP 2: Profit per dozen<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>P<\/mi><mi>r<\/mi><mi>o<\/mi><mi>f<\/mi><mi>i<\/mi><mi>t<\/mi><mo>=<\/mo><mn>624<\/mn><mo>\u2212<\/mo><mn>520<\/mn><mo>=<\/mo><mn>104<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">Profit = 624 &#8211; 520 = 104<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 STEP 3: Profit %<br><\/strong><math data-latex=\"\\frac{104}{520} \\times 100 \\\\ \\frac{1}{5} \\times 100 = 20\\%\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><mfrac><mn>104<\/mn><mn>520<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>100<\/mn><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mfrac><mn>1<\/mn><mn>5<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>100<\/mn><mo>=<\/mo><mn>20<\/mn><mi>%<\/mi><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">\\frac{104}{520} \\times 100 \\\\ \\frac{1}{5} \\times 100 = 20\\%<\/annotation><\/semantics><\/math><br><br>\u2705 Answer: <strong>D. 20%<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 60<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Solve the following system of 3 equations in 3 unknowns.<br>x \u2212 3z = \u22125<br>2x \u2212 y + 2z = 16<br>7x \u2212 3y \u2212 5z = 19<\/strong><br><br>A. x = 4, y = \u22122, z = \u22123<br>B. x = 4, y = \u22122, z = 3<br>C. x = \u22124, y = 2, z = \u22123<br>D. x = \u22124, y = 3, z = \u22122<\/p>\n\n\n\n<p class=\"is-style-success\">Start by using the simplest equation to reduce variables. From x \u2212 3z = \u22125, we directly get x = 3z \u2212 5. Now substitute this into the other two equations so everything is in terms of <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>y<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y<\/annotation><\/semantics><\/math> and <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>z<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">z<\/annotation><\/semantics><\/math>.<br><br>Putting x = 3z \u2212 5 into 2x \u2212 y + 2z = 16:<br>2(3z\u22125) \u2212 y + 2z = 16<br>\u21d2 6z \u2212 10 \u2212 y + 2z = 16<br>\u21d2 8z \u2212 y = 26<br>\u21d2 y = 8z \u2212 26.<br><br>Now substitute both x = 3z \u2212 5 and y = 8z \u2212 26 into the third equation 7x \u2212 3y \u2212 5z = 19:<br>7(3z\u22125) \u2212 3(8z\u221226) \u2212 5z = 19.<br><br>This gives 21z \u2212 35 \u2212 24z + 78 \u2212 5z = 19, so combining terms:<br>\u22128z + 43 = 19<br>\u21d2 \u22128z = \u221224<br>\u21d2 z = 3.<br><br>Now back-substitute:<br>x = 3z\u22125<br>x = 9 \u2212 5<br>x = 4,<br><br>y = 8z \u2212 26<br>y = 24 \u2212 26<br>y = \u22122.<br>So the solution is:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mn>4<\/mn><mo separator=\"true\">,<\/mo><mspace width=\"1em\"><\/mspace><mi>y<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mn>2<\/mn><mo separator=\"true\">,<\/mo><mspace width=\"1em\"><\/mspace><mi>z<\/mi><mo>=<\/mo><mn>3.<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">x = 4,\\quad y = -2,\\quad z = 3.<\/annotation><\/semantics><\/math>\u2705 Answer: <strong>B. x = 4, y = \u22122, z = 3<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 61<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>The price of fuel decreases by 40%, 60% and 60% in three successive months, but increases by 70% in the fourth month. What is the percentage increase or decrease in the price of fuel in the fourth month as compared to its original price?<\/strong><br><br>A. Increase by 87.04%<br>B. Decrease by 84.38%<br>C. Increase by 80.38%<br>D. Decrease by 83.68%<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Successive Change<\/strong><br>Assume 100<br>After decreases:<br>100 \u2192 60 \u2192 24 \u2192 9.6<br>Increase 70%:<br>9.6 \u00d7 1.7 = 16.32<br>\u2705 Answer: <strong>D. Decrease by 83.68%<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 62<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>The average of the first 62 even natural numbers is:<\/strong><br><br>A. 61<br>B. 63<br>C. 62<br>D. 64<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Average Even Numbers<\/strong><br>First 62 even numbers:<br>2 to 124<br>Average = (2+124)\/2 = 63<br>\u2705 Answer: <strong>B. 63<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 63<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In the Chola empire, the tax-free lands donated to Brahmins where they settled were known as <strong><em><strong>_<\/strong><\/em><\/strong>__.<\/strong><br><br>A. Mahasabha<br>B. Garbhagriha<br>C. Valanadu<br>D. Agraharam<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>D. Agraharam<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 64<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?<br>: EGC :: QSO : %<\/strong><br><br>A. # = HJF; % = NPL<br>B. # = GTF; % = NNH<br>C. # = NJG; % = NKJ<br>D. # = TYF; % = NHG<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Letter Analogy<\/strong><br>EGC \u2192 differences:<br>E\u2192G (+2), G\u2192C (-4)<br><br>Apply reverse:<br>QSO:<br>Q\u2192S (+2), S\u2192O (-4)<br>Backward gives matching \u2192 option A fits pattern<br>\u2705 Answer: <strong>A. = HJF; % = NPL<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 65<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Select the set in which the numbers are related in the same way as are the numbers of the following sets.<br>(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 \u2013 Operations on 13 such as adding \/ subtracting \/ multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)<br>(44, 968, 22)<br>(26, 650, 25)<\/strong><br><br>A. (34, 173, 5)<br>B. (18, 108, 6)<br>C. (15, 348, 23)<br>D. (23, 210, 9)<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Pattern<\/strong><br>Check:<br>44 \u2192 968 \u2192 22<br>44\u00d722 = 968 \u2714\ufe0f<br>26\u00d725 = 650 \u2714\ufe0f<br>So:<br>First \u00d7 third = second<br>Check option:<br>18\u00d76 = 108 \u2714\ufe0f<br>\u2705 Answer: <strong>B. (18, 108, 6)<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 66<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which district in Mizoram was recognised as the best-performing district in NITI Aayog&#8217;s SDG Index NE Districts 2023\u201324?<\/strong><br><br>A. Lunglei<br>B. Aizawl<br>C. Hnahthial<br>D. Champhai<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>C. Hnahthial<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 67<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which ratio is the largest among 5 : 12, 14 : 31, 8 : 33 and 17 : 39?<\/strong><br><br>A. 8 : 33<br>B. 14 : 31<br>C. 5 : 12<br>D. 17 : 39<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Largest Ratio<\/strong><br>Compare:<br>5\/12 = 0.416<br>14\/31 \u2248 0.451<br>8\/33 \u2248 0.242<br>17\/39 \u2248 0.435<br>\ud83d\udc49 <strong>Answer B. 14 : 31<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 68<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>100 men have provisions for 26 days. If 50 men have left, for how many days the same provisions would last for the remaining men?<\/strong><br><br>A. 50<br>B. 54<br>C. 52<br>D. 56<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Men &amp; Food<\/strong><br>100 men \u2192 26 days<br>Total work = 2600<br>50 men \u2192 days = 2600\/50 = 52<br>\u2705 Answer: <strong>C. 52<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 69<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following reflects the Gandhian ideals incorporated as Directive Principles of State Policy in the Constitution of India?<\/strong><br><br>A. Raising the standard of living and public health<br>B. Promoting cottage industries in rural areas<br>C. Safeguarding children against exploitation<br>D. Securing suitable employment for all<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>B. Promoting cottage industries in rural areas<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 70<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>A dealer buys two articles X and Y for \u20b9800 each. He marks each of them at the same price. He sells X by giving two successive discounts of 45% and 73% and still earns \u20b9523 as profit. If he sells Y at a single discount of 89%, then what is the profit percentage on Y?<\/strong><br><br>A. 22%<br>B. 21.5%<br>C. 21%<br>D. 22.5%<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Profit<\/strong><br>CP = 800<br>Let MP = x<br>SP(X) = x \u00d7 0.55 \u00d7 0.27 = 0.1485x<br>Profit = 523:<br>0.1485x \u2212 800 = 523<br>0.1485x = 800 + 523<br>x = 1323\/0.1485<br>x \u2248 8909.09<br><br>SP(Y) = 11% of MP (x) is \u2248 979.99<br>Profit: 979.99 &#8211; 800 = 179.99<br><br>179.99\/800 \u200b\u00d7 100 \u2248 22.498%<br><strong>\ud83c\udfaf FINAL ANSWER: D. 22.5%\u200b<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 71<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Who among the following is NOT directly associated with the Prarthana Samaj?<\/strong><br><br>A. Debendranath Tagore<br>B. Mahadev Govind Ranade<br>C. Atmaram Pandurang<br>D. R.C. Bhandarkar<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\u2705 Answer: A. Debendranath Tagore<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 72<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Simplify:<\/strong> <math data-latex=\"\\frac{\\sqrt[3]{2744}}{\\sqrt[4]{256}} \\times \\frac{2}{42} \\times 72\"><semantics><mrow><mfrac><mroot><mn>2744<\/mn><mn>3<\/mn><\/mroot><mroot><mn>256<\/mn><mn>4<\/mn><\/mroot><\/mfrac><mo>\u00d7<\/mo><mfrac><mn>2<\/mn><mn>42<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>72<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{\\sqrt[3]{2744}}{\\sqrt[4]{256}} \\times \\frac{2}{42} \\times 72<\/annotation><\/semantics><\/math><br><br>A. 5<br>B. 17<br>C. 12<br>D. 10<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Simplify<\/strong><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mroot><mn>2744<\/mn><mn>3<\/mn><\/mroot><mo>=<\/mo><mn>14<\/mn><mo separator=\"true\">,<\/mo><mspace width=\"1em\"><\/mspace><mroot><mn>256<\/mn><mn>4<\/mn><\/mroot><mo>=<\/mo><mn>4<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\sqrt[3]{2744}=14,\\quad \\sqrt[4]{256}=4<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mfrac><mn>14<\/mn><mn>4<\/mn><\/mfrac><mo>\u00d7<\/mo><mfrac><mn>2<\/mn><mn>42<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>72<\/mn><mo>=<\/mo><mfrac><mn>7<\/mn><mn>2<\/mn><\/mfrac><mo>\u00d7<\/mo><mfrac><mn>1<\/mn><mn>21<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>72<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">= \\frac{14}{4}\u00d7\\frac{2}{42}\u00d772 = \\frac{7}{2}\u00d7\\frac{1}{21}\u00d772<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mfrac><mrow><mn>7<\/mn><mo>\u00d7<\/mo><mn>72<\/mn><\/mrow><mn>42<\/mn><\/mfrac><mo>=<\/mo><mn>12<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">= \\frac{7\u00d772}{42} = 12<\/annotation><\/semantics><\/math><br><strong>\u2705 Answer: C. 12<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 73<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In 2025, which United Nations body released the World Urbanization Prospects report using the Degree of Urbanization methodology?<\/strong><br><br>A. UN Human Settlements Programme (UN-Habitat)<br>B. UN Department of Economic and Social Affairs (UN DESA)<br>C. UN Development Programme (UNDP)<br>D. UN Statistical Commission<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>B. UN Department of Economic and Social Affairs (UN DESA)<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 74<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>The acid present in the atmosphere of Venus is:<\/strong><br><br>A. HCOOH<br>B. HCl<br>C. <math data-latex=\"H_2SO_4\"><semantics><mrow><msub><mi>H<\/mi><mn>2<\/mn><\/msub><mi>S<\/mi><msub><mi>O<\/mi><mn>4<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">H_2SO_4<\/annotation><\/semantics><\/math><br>D. <math data-latex=\"HNO_3\"><semantics><mrow><mi>H<\/mi><mi>N<\/mi><msub><mi>O<\/mi><mn>3<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">HNO_3<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"is-style-success\">\ud83d\udc49 Sulphuric acid (H\u2082SO\u2084)<br>\u2705 Answer: <strong>C. H\u2082SO\u2084<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 75<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following was the primary objectives of the India-Liberia MoU signed in December 2025?<\/strong><br><br>A. Enhancing co-operation on medicine quality standards<br>B. Constructing new highways<br>C. Initiating joint space missions<br>D. Establishing defense manufacturing units<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\u2705 Answer: A. Enhancing co-operation on medicine quality standards<\/strong><\/p>\n<\/div><\/details><\/div>\n<\/div>\n\n\n\n<!--nextpage-->\n\n\n\n<h2 class=\"wp-block-heading\">RRB NTPC Graduate CBT 2 (16 March 2026) \u2013 <strong>A Complete Quiz With Smart Hack And Answers<\/strong> (Part 4: Question 76-100)<\/h2>\n\n\n\n<p>The final part contains questions from 76 to 100. Railway Recruitment Board (RRB) conducts the RRB NTPC Exam like 2026 to fill vacancies for Graduate and Undergraduate posts under the Non-Technical Popular Categories (NTPC). Here you will try to attempt the real RRB NTPC Graduate CBT 1 exam, which was conducted on 16 March, 2026 Shift 2. The competitive exam is divided into 4 parts each with 25 questions. You are not just taking the exercise but also learning from the solutions and explanations.<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Exam Instructions<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Total Questions: <strong>25<\/strong> (This is Part 4 of Total 100 Questions.)<\/li>\n\n\n\n<li>Attempt like real exam (no scrolling to answers immediately \ud83d\ude09)<\/li>\n\n\n\n<li>Each question includes:\n<ul class=\"wp-block-list\">\n<li>\u2705 Correct Answer<\/li>\n\n\n\n<li>\ud83e\udde0 Shortcut Trick<\/li>\n\n\n\n<li>\u274c Why other options are wrong<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n        <script>\n          window.KQ_FRONT = window.KQ_FRONT || {};\n          window.KQ_FRONT.quiz_id = 16;\n          window.KQ_FRONT.rest = \"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/kq\/v1\/\";\n        <\/script>\n        <div id=\"kapil-quiz-16\"\n             class=\"kapil-quiz-container\"\n             data-kq-app\n             data-quiz-id=\"16\">\n            <div class=\"kq-loading\">Loading quiz...<\/div>\n        <\/div>\n        \n    <div id=\"kq-auth-modal\" class=\"kq-auth-modal\" style=\"display:none;\">\n      <div class=\"kq-auth-modal-inner\">\n        <button id=\"kq-auth-close\" class=\"kq-auth-close\" aria-label=\"Close\">\u2716<\/button>\n\n        <!-- TAB NAV -->\n        <div class=\"kq-auth-tabs\" role=\"tablist\">\n          <button class=\"kq-tab active\" data-tab=\"register\" type=\"button\" role=\"tab\" aria-selected=\"true\">Register<\/button>\n          <button class=\"kq-tab\" data-tab=\"login\" type=\"button\" role=\"tab\" aria-selected=\"false\">Login<\/button>\n          <button class=\"kq-tab\" data-tab=\"forgot\" type=\"button\" role=\"tab\" aria-selected=\"false\">Forgot<\/button>\n        <\/div>\n\n        <!-- PANELS -->\n        <div class=\"kq-auth-panel-wrap\">\n\n          <!-- REGISTER -->\n          <div class=\"kq-auth-panel\" data-panel=\"register\" style=\"display:block\">\n            <div class=\"kq-auth-card\">\n              <h3>Register<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-username\" placeholder=\"Username\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-email\" placeholder=\"Email\" type=\"email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-signup-password\" placeholder=\"Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-signup-btn\" class=\"button kq-btn-small\">Register<\/button>\n              <small style=\"display:block;margin-top:8px;\">Already registered? Use Login tab.<\/small>\n            <\/div>\n          <\/div>\n\n          <!-- LOGIN -->\n          <div class=\"kq-auth-panel\" data-panel=\"login\" style=\"display:none\">\n            <div class=\"kq-auth-card\">\n              <h3>Login<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-login-identity\" placeholder=\"Username or Email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-login-password\" placeholder=\"Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-login-btn\" class=\"button kq-btn-small\">Login<\/button>\n            <\/div>\n          <\/div>\n\n          <!-- FORGOT -->\n          <div class=\"kq-auth-panel\" data-panel=\"forgot\" style=\"display:none\">\n            <div class=\"kq-auth-card\">\n              <h3>Forgot Password<\/h3>\n              <div class=\"kq-field\">\n                <input id=\"kq-forgot-identity\" placeholder=\"Username or Email\" \/>\n              <\/div>\n              <div class=\"kq-field\">\n                <input id=\"kq-forgot-newpass\" placeholder=\"New Password\" type=\"password\" \/>\n                <button class=\"kq-toggle-pass\" type=\"button\" aria-label=\"Toggle password\">\ud83d\udc41<\/button>\n              <\/div>\n              <button id=\"kq-forgot-btn\" class=\"button kq-btn-small\">Update Password<\/button>\n            <\/div>\n          <\/div>\n\n        <\/div>\n\n      <\/div>\n    <\/div>\n    \n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">The Question and Answer and Solutions&#8217; Explanation of the Competitive Exam<\/h2>\n\n\n\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [{\n    \"@type\": \"Question\",\n    \"name\": \"The following dataset represents the number of books read by 25 students in a month:\n2 , 4 , 4 , 5 , 5 , 5 , 6 , 7 , 7 , 7 , 7 , 8 , 8 , 9 , 9 , 10 , 10 , 11 , 11 , 12 , 13 , 13 , 13 , 15 , 16.\nCalculate the mode of the dataset.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 7, let's learn the simple trick to solve it quickly.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"In 2025, which city topped the National Air Quality Index released for major Indian cities?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Shillong.\"}\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"At what rate (in percentage) per year will a sum of money 5 times itself in 16 years on simple interest?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is 25. the pattern behind it simple.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Along a circular running track, P can complete 5 rounds in 40 minutes. Time taken by R to complete 7 rounds is equal to time taken by P to complete 6 rounds. If they start running in the same direction from two different ends of a diameter, then they will meet for the first time after ____ minutes.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick behind it very simple. It makes the question solution very easy to solve. The correct answer is 24.\"\n    }\n  },{\n    \"@type\": \"Question\",\n    \"name\": \"Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.\nStatements: All tigers are wolves. All jackals are wolves. All animals are wolves.\nConclusions:\n(I) Some animals are tigers.\n(II) Some jackals are animals.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Neither conclusion (I) nor (II) follows.. let's learn how to do it within 5 second.\"} }\n,    {\n    \"@type\": \"Question\",\n    \"name\": \"Which statement is True or False regarding file management in Windows 11?\n(i) When a file is deleted and moved to the Recycle Bin, its contents are immediately and permanently erased from the storage disk.\n(ii) The file path (C: > Users > Documents > file.txt) is a strictly hierarchical structure, meaning each file has one unique path. \",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The answer is (i) False, (ii) True, but how can you solve it quickly. Learn it.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"If 3 is added to each even digit and 2 is subtracted from each odd digit in the number 5723946, how many digits will appear more than once in the new number thus formed?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick here is to understand the key concepts hidden behind it like two.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Jaspreet deposited a sum of \u20b928,450 at 20% rate of interest per annum, compounded annually. The total amount received by Jaspreet after 2 years is:?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is \u20b940,968. Learn how to calculate it in no time.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which provision of the Indian Council Act of 1909 was most criticised for weakening the unity of the Indian nationalist movement?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Creation of separate electorates\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?\n# : OIM :: ICG : %\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick here is subtract of 6 and the addition of 4 each forward. The dame pattern is for options as well.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Between 2001 and 2011, the male-female gap in the literacy rate of India __________.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"decreased\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Based on the English alphabetical order, three of the following four letter cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group?\n(Note: The odd man out is not based on the number of consonants\/vowels or their position in the letter cluster)\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The pattern based question with simple trick to unlock and decipher it. How, learn the steps of it.\"\n    }\n    },\n{\n    \"@type\": \"Question\",\n    \"name\": \"In 2025, which country officially became the 90th State Member of the International Union for Conservation of Nature (IUCN)?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is Tuvalu.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"How often does India submit its Biennial Update Reports (BURs) to the UNFCCC?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Every two years\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Simplify the following expression: $[3.75 + \\frac{4}{5}] - [3.5 - \\frac{8}{20}]$\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Let's solve it with a trick to simplify then unlock the pattern behind it. The correct answer is 1.45.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which Constitutional Amendment Act added Bodo, Dogri, Maithili, and Santhali to the Eighth Schedule of the Indian Constitutional? \",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"92nd Amendment Act, 2003\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?\n# : ZJR :: PZH : %\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick here is addition of ten and the addition of eight each forward. The dame pattern is for options as well.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Who were the \"Samantas\" in the post-Gupta period?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Feudal lords\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Simplify $\\frac{732 \\times 732 \\times 732 + 268 \\times 268 \\times 268}{73.2 \\times 73.2 + 26.8 \\times 26.8 - 73.2 \\times 26.8}$\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"It looks difficult but if you understand the simplification trick behind it, it will become very easy. The correct answer is 100000.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"In a certain code language, \u2018ALIT\u2019 is coded as \u20182159\u2019 and \u2018HILT\u2019 is coded as \u20186912\u2019. What is the code for \u2018H\u2019 in the given code language?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The trick here is not position but the pattern value. The correct answer is 6.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"A major characteristic of computer systems is Diligence. Which of the following scenarios primarily highlights a limitation of the computer system that is not overcome by its diligence?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"A computer generates incorrect output because the initial data entered was flawed.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Which of the following cabinet committees is NOT headed by the Prime Minister? \",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"Cabinet committee on parliamentary affairs\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"Seven people B, C, O, P, Q, R and S are sitting around a circular table facing the center of the table. Only two people sits between P and B when counted from the right of P. Only S sits between O and P. Q sits to the immediate left of B. C is not an immediate neighbor of P. Who sits third to the left of R?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The visual image question. It will be most easy and quick if you picture it in your mind. Learn how to do it. The correct answer is O.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30\u00b0 with the ground. Find the height of the kite from the ground.\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"We use sine here but a learning trick is when you see 30 degree and height. Consider it half. The correct answer is 12.2 m. Learn how to solve it in 5 seconds.\"\n    }\n  },\n{\n    \"@type\": \"Question\",\n    \"name\": \"What should come in place of \u2018?\u2019 in the given series?\n3 10 24 45 73 ?\",\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"There is a pattern here the table of 7 to increase the digits to the point of 73 + 35 = 92. Let's learn the trick behind it.\"\n    }\n  }\n  }\n}\n<\/script>\n\n\n\n<div class=\"wp-block-coblocks-accordion\">\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 76<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>The following dataset represents the number of books read by 25 students in a month:<br>2 , 4 , 4 , 5 , 5 , 5 , 6 , 7 , 7 , 7 , 7 , 8 , 8 , 9 , 9 , 10 , 10 , 11 , 11 , 12 , 13 , 13 , 13 , 15 , 16.<br>Calculate the mode of the dataset.<\/strong><br><br>A. 11<br>B. 13<br>C. 7<br>D. 5<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Mode (Ungrouped Data)<\/strong><br>Concept:<br>Mode = most frequent value<br><br>Frequency check:<br>7 appears <strong>4 times<\/strong> (highest)<br>\u2705 Answer: <strong>C. 7<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 77<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In 2025, which city topped the National Air Quality Index released for major Indian cities?<\/strong><br><br>A. Mumbai<br>B. Shillong<br>C. Kolkata<br>D. Ranchi<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>B. Shillong<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 78<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>At what rate (in percentage) per year will a sum of money 5 times itself in 16 years on simple interest?<\/strong><br><br>A. 23<br>B. 25<br>C. 50<br>D. 27<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Simple Interest<\/strong><br>5 times \u21d2 Interest = 4P<br>SI = <math data-latex=\"\\frac{P\\times R\\times T}{100}\"><semantics><mfrac><mrow><mi>P<\/mi><mo>\u00d7<\/mo><mi>R<\/mi><mo>\u00d7<\/mo><mi>T<\/mi><\/mrow><mn>100<\/mn><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{P\\times R\\times T}{100}<\/annotation><\/semantics><\/math><br><br>\u200b4p = <math data-latex=\"\\frac{P\\times R\\times 16}{100}\"><semantics><mfrac><mrow><mi>P<\/mi><mo>\u00d7<\/mo><mi>R<\/mi><mo>\u00d7<\/mo><mn>16<\/mn><\/mrow><mn>100<\/mn><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{P\\times R\\times 16}{100}<\/annotation><\/semantics><\/math><br><br><math data-latex=\"4 = \\frac{P\\times R\\times 16}{100 \\times P} \\\\ \\frac{1}{R} = \\frac{16}{100 \\times 4} \\\\ R = \\frac{400}{16}\"><semantics><mtable columnalign=\"left\" rowspacing=\"0em\"><mtr><mtd style=\"text-align:left;\"><mrow><mn>4<\/mn><mo>=<\/mo><mfrac><mrow><mi>P<\/mi><mo>\u00d7<\/mo><mi>R<\/mi><mo>\u00d7<\/mo><mn>16<\/mn><\/mrow><mrow><mn>100<\/mn><mo>\u00d7<\/mo><mi>P<\/mi><\/mrow><\/mfrac><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mfrac><mn>1<\/mn><mi>R<\/mi><\/mfrac><mo>=<\/mo><mfrac><mn>16<\/mn><mrow><mn>100<\/mn><mo>\u00d7<\/mo><mn>4<\/mn><\/mrow><\/mfrac><\/mrow><mo linebreak=\"newline\"><\/mo><\/mtd><\/mtr><mtr><mtd style=\"text-align:left;\"><mrow><mi>R<\/mi><mo>=<\/mo><mfrac><mn>400<\/mn><mn>16<\/mn><\/mfrac><\/mrow><\/mtd><\/mtr><\/mtable><annotation encoding=\"application\/x-tex\">4 = \\frac{P\\times R\\times 16}{100 \\times P} \\\\ \\frac{1}{R} = \\frac{16}{100 \\times 4} \\\\ R = \\frac{400}{16}<\/annotation><\/semantics><\/math><br>= 25%<br>\u2705 Answer: <strong>B. 25<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 79<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Along a circular running track, P can complete 5 rounds in 40 minutes. Time taken by R to complete 7 rounds is equal to time taken by P to complete 6 rounds. If they start running in the same direction from two different ends of a diameter, then they will meet for the first time after <em>__<\/em> minutes.<br><\/strong><br>A. 28<br>B. 30<br>C. 24<br>D. 20<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Circular Track<\/strong><br>P speed:<br>5 rounds in 40 min \u2192 1 round = 8 min<br><br>R:<br>7 rounds = 6 rounds of P<br>\u2192 1 round R = (6\u00d78)\/7 = 48\/7 min<br><br>Relative speed:<br>P = 1\/8<br>R = 7\/48<br><br>Relative =\u200b <math data-latex=\"\\frac{7}{48} - \\frac{1}{8} = \\frac{7 - 6}{48} = \\frac{1}{48}\"><semantics><mrow><mfrac><mn>7<\/mn><mn>48<\/mn><\/mfrac><mo>\u2212<\/mo><mfrac><mn>1<\/mn><mn>8<\/mn><\/mfrac><mo>=<\/mo><mfrac><mrow><mn>7<\/mn><mo>\u2212<\/mo><mn>6<\/mn><\/mrow><mn>48<\/mn><\/mfrac><mo>=<\/mo><mfrac><mn>1<\/mn><mn>48<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{7}{48} &#8211; \\frac{1}{8} = \\frac{7 &#8211; 6}{48} = \\frac{1}{48}<\/annotation><\/semantics><\/math><br><br>Distance = half circle<br><br><strong>Time to meet<\/strong><br>They need to cover <strong>1\/2 round gap<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mtext>Time<\/mtext><mo>=<\/mo><mfrac><mtext>Distance<\/mtext><mtext>Relative&nbsp;speed<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Time} = \\frac{\\text{Distance}}{\\text{Relative speed}}<\/annotation><\/semantics><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mtext>Time<\/mtext><mo>=<\/mo><mfrac><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mfrac><mn>1<\/mn><mn>48<\/mn><\/mfrac><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\text{Time} = \\frac{\\frac{1}{2}}{\\frac{1}{48}}<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>\u00d7<\/mo><mn>48<\/mn><mo>=<\/mo><mn>24<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">= \\frac{1}{2} \u00d7 48 = 24<\/annotation><\/semantics><\/math>Time = 24 min<br>\u2705 Answer: <strong>C. 24<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 80<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.<br>Statements: All tigers are wolves. All jackals are wolves. All animals are wolves.<br>Conclusions:<br>(I) Some animals are tigers.<br>(II) Some jackals are animals.<\/strong><br><br>A. Only conclusion (I) follows.<br>B. Neither conclusion (I) nor (II) follows.<br>C. Both conclusions (I) and (II) follow.<br>D. Only conclusion (II) follows.<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Syllogism<\/strong><br>Given:<br>All tigers \u2192 wolves<br>All animals \u2192 wolves<br>\u274c No direct relation between animals &amp; tigers<br>(I) \u274c<br>(II) \u274c<br>\ud83d\udc49 <strong>Answer B. Neither conclusion (I) nor (II) follows.<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 81<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which statement is True or False regarding file management in Windows 11?<br>(i) When a file is deleted and moved to the Recycle Bin, its contents are immediately and permanently erased from the storage disk.<br>(ii) The file path (C: &gt; Users &gt; Documents &gt; file.txt) is a strictly hierarchical structure, meaning each file has one unique path.<br><\/strong><br>A. (i) True, (ii) True<br>B. (i) False, (ii) False<br>C. (i) True, (ii) False<br>D. (i) False, (ii) True<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>File Management<\/strong><br>(i) \u274c False \u2192 recycle bin \u2260 permanent delete<br>(ii) \u2714\ufe0f True \u2192 file path is unique<br>\u2705 Answer: <strong>D. (i) False, (ii) True<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 82<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>If 3 is added to each even digit and 2 is subtracted from each odd digit in the number 5723946, how many digits will appear more than once in the new number thus formed?<\/strong><br><br>A. None<br>B. Two<br>C. One<br>D. Three<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Digit Operation<\/strong><br>Number: 5723946<br>Even +3 \u2192 5\u2192(odd) no, 2\u21925, 4\u21927, 6\u21929<br>Odd -2 \u2192 5\u21923, 7\u21925, 3\u21921, 9\u21927<br><br>New number: 3,5,5,1,7,7,9<br>Repeated digits \u2192 5,7 \u2192 2 digits<br>\u2705 Answer: <strong>B. Two<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 83<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Jaspreet deposited a sum of \u20b928,450 at 20% rate of interest per annum, compounded annually. The total amount received by Jaspreet after 2 years is:<\/strong><br><br>A. \u20b940,624<br>B. \u20b940,968<br>C. \u20b940,958<br>D. \u20b941,126<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Compound Interest<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>A<\/mi><mo>=<\/mo><mn>28450<\/mn><mo>\u00d7<\/mo><mo stretchy=\"false\">(<\/mo><mn>1.2<\/mn><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><mo>=<\/mo><mn>28450<\/mn><mo>\u00d7<\/mo><mn>1.44<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">A = 28450 \u00d7 (1.2)^2 = 28450 \u00d7 1.44<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo>=<\/mo><mn>40968<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">= 40968<\/annotation><\/semantics><\/math><strong>\u2705 Answer: <strong>B. \u20b940,968<\/strong><\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 84<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which provision of the Indian Council Act of 1909 was most criticised for weakening the unity of the Indian nationalist movement?<\/strong><br><br>A. Creation of separate electorates<br>B. Introduction of executive councils in presidencies<br>C. Expansion of legislative councils<br>D. Inclusion of Indians in the Governor-General\u2019s Council<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>A. Creation of separate electorates<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 85<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?<br>: OIM :: ICG : %<\/strong><br><br>A. # = MKO, % = GMJ<br>B. # = MKO, % = GMK<br>C. # = QKO, % = GAE<br>D. # = LPO, % = GJH<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Pattern:<br><\/strong>O, I (-6), M (+4)<br>I, C (-6), G (+4)<br><br>Option C matches the pattern.<br>\u2705 Answer: <strong>C. # = QKO, % = GAE<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 86<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Between 2001 and 2011, the male-female gap in the literacy rate of India <strong><em>__<\/em><\/strong>.<\/strong><br><br>A. became zero<br>B. increased<br>C. remained the same<br>D. decreased<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Literacy Gap<\/strong><br>2001 \u2192 high gap<br>2011 \u2192 gap reduced<br>\u2705 Answer: <strong>D. decreased<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 87<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Based on the English alphabetical order, three of the following four letter cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group?<br>(Note: The odd man out is not based on the number of consonants\/vowels or their position in the letter cluster)<\/strong><br><br>A. LN-MO<br>B. HJ-IK<br>C. DF-EG<br>D. KM-NP<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Odd Pair<\/strong><br>Check:<br>LN\u2192MO (+1,+1)<br>HJ\u2192IK (+1,+1)<br>DF\u2192EG (+1,+1)<br>KM\u2192NP (+3,+3) \u274c<br>\u2705 Answer: <strong>D. KM-NP<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 88<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In 2025, which country officially became the 90th State Member of the International Union for Conservation of Nature (IUCN)?<\/strong><br><br>A. Tuvalu<br>B. Maldives<br>C. Nauru<br>D. Kiribati<\/p>\n\n\n\n<p class=\"is-style-success\">In October 2025,&nbsp;the Pacific island nation of&nbsp;<strong>Tuvalu<\/strong>&nbsp;officially became the 90th State Member of the International Union for Conservation of Nature (IUCN). As a low-lying nation, Tuvalu&#8217;s membership strengthens its efforts in biodiversity protection, climate adaptation, and marine conservation within the Pacific region.<br><strong>\ud83c\udfaf FINAL ANSWER: A. Tuvalu<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 89<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>How often does India submit its Biennial Update Reports (BURs) to the UNFCCC?<\/strong><br><br>A. Every two years<br>B. Every three years<br>C. Every year<br>D. Every five years<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>A. Every two years<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 90<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Simplify the following expression: <\/strong><math data-latex=\"[3.75 + \\frac{4}{5}] - [3.5 - \\frac{8}{20}]\"><semantics><mrow><mo form=\"prefix\" stretchy=\"false\">[<\/mo><mn>3.75<\/mn><mo>+<\/mo><mfrac><mn>4<\/mn><mn>5<\/mn><\/mfrac><mo form=\"postfix\" stretchy=\"false\">]<\/mo><mo>\u2212<\/mo><mo form=\"prefix\" stretchy=\"false\">[<\/mo><mn>3.5<\/mn><mo>\u2212<\/mo><mfrac><mn>8<\/mn><mn>20<\/mn><\/mfrac><mo form=\"postfix\" stretchy=\"false\">]<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">[3.75 + \\frac{4}{5}] &#8211; [3.5 &#8211; \\frac{8}{20}]<\/annotation><\/semantics><\/math><br><br>A. 1.45<br>B. 1.4<br>C. 1.35<br>D. 1.5<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Simplify<br><\/strong>(3.75 + 0.8) \u2212 (3.5 \u2212 0.4)<br>= 4.55 \u2212 3.1<br>= 1.45<br>\u2705 Answer: <strong>A. 1.45<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 91<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which Constitutional Amendment Act added Bodo, Dogri, Maithili, and Santhali to the Eighth Schedule of the Indian Constitutional?<\/strong><br><br>A. 93rd Amendment Act, 2005<br>B. 86th Amendment Act, 2002<br>C. 92nd Amendment Act, 2003<br>D. 91st Amendment Act, 2003<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>C. 92nd Amendment Act, 2003<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 92<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?<\/strong><br><strong># : ZJR :: PZH : %<br><\/strong><br>A. # = TDL % = VFN<br>B. # = UDL % = VFN<br>C. # = TDM % = VFN<br>D. # = TDL % = VCN<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>The Pattern Trick:<br><\/strong>Z, J (+10), R (+8)<br>P, Z (+10), H (+8)<br>The Option A matches the pattern.<br>\ud83d\udc49 <strong>Answer A. = TDL % = VFN<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 93<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Who were the &#8220;Samantas&#8221; in the post-Gupta period?<br><\/strong><br>A. Religious heads<br>B. Farmers<br>C. Architects<br>D. Feudal lords<\/p>\n\n\n\n<p class=\"is-style-success\">\u2705 Answer: <strong>D. Feudal lords<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 94<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Simplify <\/strong><math data-latex=\"\\frac{732 \\times 732 \\times 732 + 268 \\times 268 \\times 268}{73.2 \\times 73.2 + 26.8 \\times 26.8 - 73.2 \\times 26.8}\"><semantics><mfrac><mrow><mn>732<\/mn><mo>\u00d7<\/mo><mn>732<\/mn><mo>\u00d7<\/mo><mn>732<\/mn><mo>+<\/mo><mn>268<\/mn><mo>\u00d7<\/mo><mn>268<\/mn><mo>\u00d7<\/mo><mn>268<\/mn><\/mrow><mrow><mn>73.2<\/mn><mo>\u00d7<\/mo><mn>73.2<\/mn><mo>+<\/mo><mn>26.8<\/mn><mo>\u00d7<\/mo><mn>26.8<\/mn><mo>\u2212<\/mo><mn>73.2<\/mn><mo>\u00d7<\/mo><mn>26.8<\/mn><\/mrow><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{732 \\times 732 \\times 732 + 268 \\times 268 \\times 268}{73.2 \\times 73.2 + 26.8 \\times 26.8 &#8211; 73.2 \\times 26.8}<\/annotation><\/semantics><\/math><br><br>A. 100<br>B. 10000<br>C. 100000<br>D. 1000<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\ud83e\udde0 Step 1: Notice the trick (VERY IMPORTANT)<\/strong><br>\ud83d\udc49 Look carefully:<br>732 and 268<br>73.2 and 26.8<br>\ud83d\udc49 They are just <strong>10\u00d7 smaller in denominator<\/strong><br>So:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>732<\/mn><mo>=<\/mo><mn>10<\/mn><mo>\u00d7<\/mo><mn>73.2<\/mn><mo separator=\"true\">,<\/mo><mspace width=\"1em\"><\/mspace><mn>268<\/mn><mo>=<\/mo><mn>10<\/mn><mo>\u00d7<\/mo><mn>26.8<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">732 = 10 \u00d7 73.2,\\quad 268 = 10 \u00d7 26.8<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 2: Use identities<\/strong><br>Numerator:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>3<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">a^3 + b^3<\/annotation><\/semantics><\/math><br>Denominator:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mi>a<\/mi><mi>b<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">a^2 + b^2 &#8211; ab<\/annotation><\/semantics><\/math><br>\ud83d\udc49 This matches identity:<br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>3<\/mn><\/msup><mo>=<\/mo><mo stretchy=\"false\">(<\/mo><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">(<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mi>a<\/mi><mi>b<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">a^3 + b^3 = (a + b)(a^2 &#8211; ab + b^2)<\/annotation><\/semantics><\/math><br><br><strong>\ud83e\udde0 Step 3: Apply scaling properly<\/strong><br>Let:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>a<\/mi><mo>=<\/mo><mn>73.2<\/mn><mo separator=\"true\">,<\/mo><mspace width=\"1em\"><\/mspace><mi>b<\/mi><mo>=<\/mo><mn>26.8<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">a = 73.2,\\quad b = 26.8<\/annotation><\/semantics><\/math><br>Then:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>732<\/mn><mo>=<\/mo><mn>10<\/mn><mi>a<\/mi><mo separator=\"true\">,<\/mo><mspace width=\"1em\"><\/mspace><mn>268<\/mn><mo>=<\/mo><mn>10<\/mn><mi>b<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">732 = 10a,\\quad 268 = 10b<\/annotation><\/semantics><\/math><br>Numerator becomes:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mn>10<\/mn><mi>a<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>3<\/mn><\/msup><mo>+<\/mo><mo stretchy=\"false\">(<\/mo><mn>10<\/mn><mi>b<\/mi><msup><mo stretchy=\"false\">)<\/mo><mn>3<\/mn><\/msup><mo>=<\/mo><mn>1000<\/mn><mo stretchy=\"false\">(<\/mo><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>3<\/mn><\/msup><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(10a)^3 + (10b)^3 = 1000(a^3 + b^3)<\/annotation><\/semantics><\/math><br>Denominator:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mi>a<\/mi><mi>b<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">a^2 + b^2 &#8211; ab<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 4: Apply identity<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>3<\/mn><\/msup><mo>=<\/mo><mo stretchy=\"false\">(<\/mo><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">(<\/mo><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mi>a<\/mi><mi>b<\/mi><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">a^3 + b^3 = (a + b)(a^2 &#8211; ab + b^2)<\/annotation><\/semantics><\/math><br>\ud83d\udc49 Denominator = same expression<br>\u2714\ufe0f So it cancels<br><br><strong>\ud83e\udde0 Step 5: Final simplification<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mrow><mn>1000<\/mn><mo stretchy=\"false\">(<\/mo><msup><mi>a<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>3<\/mn><\/msup><mo stretchy=\"false\">)<\/mo><\/mrow><mrow><msup><mi>a<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><msup><mi>b<\/mi><mn>2<\/mn><\/msup><mo>\u2212<\/mo><mi>a<\/mi><mi>b<\/mi><\/mrow><\/mfrac><mo>=<\/mo><mn>1000<\/mn><mo stretchy=\"false\">(<\/mo><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{1000(a^3 + b^3)}{a^2 + b^2 &#8211; ab} = 1000(a + b)<\/annotation><\/semantics><\/math><br><strong>\ud83e\udde0 Step 6: Add values<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>a<\/mi><mo>+<\/mo><mi>b<\/mi><mo>=<\/mo><mn>73.2<\/mn><mo>+<\/mo><mn>26.8<\/mn><mo>=<\/mo><mn>100<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">a + b = 73.2 + 26.8 = 100<\/annotation><\/semantics><\/math><br><strong>\u2705 Final Answer:<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>1000<\/mn><mo>\u00d7<\/mo><mn>100<\/mn><mo>=<\/mo><menclose notation=\"box\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"false\"><mstyle scriptlevel=\"0\" displaystyle=\"true\"><mn>100000<\/mn><\/mstyle><\/mstyle><\/mstyle><\/menclose><\/mrow><annotation encoding=\"application\/x-tex\">1000 \u00d7 100 = \\boxed{100000}<\/annotation><\/semantics><\/math><br>\u2705 Answer: <strong>C. 100000<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 95<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>In a certain code language, \u2018ALIT\u2019 is coded as \u20182159\u2019 and \u2018HILT\u2019 is coded as \u20186912\u2019. What is the code for \u2018H\u2019 in the given code language?<\/strong><br><br>A. 2<br>B. 9<br>C. 6<br>D. 1<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Coding<\/strong><br>A<strong>LIT<\/strong> \u2192 <strong>21<\/strong>5<strong>9<\/strong><br>HILT \u2192 6<strong>912<\/strong><br>So it is clear the position has nothing to do here, but pattern value does, so:<br>H = 6<br><strong>\ud83c\udfaf FINAL ANSWER: C. 6<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 96<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>A major characteristic of computer systems is Diligence. Which of the following scenarios primarily highlights a limitation of the computer system that is not overcome by its diligence?<\/strong><br><br>A. A computer is used to book flights in the morning and write code in the afternoon.<br>B. A computer performs trillions of calculations a second, much faster than any human.<br>C. A computer continues processing data for 72 hours straight without any loss of attention.<br>D. A computer generates incorrect output because the initial data entered was flawed.<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\u2705 Answer: D. A computer generates incorrect output because the initial data entered was flawed.<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 97<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Which of the following cabinet committees is NOT headed by the Prime Minister?<\/strong><br><br>A. Cabinet committee on employment and skill development<br>B. Cabinet committee on economic affairs<br>C. Cabinet committee on investment and growth<br>D. Cabinet committee on parliamentary affairs<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>\u2705 Answer: D. Cabinet committee on parliamentary affairs<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 98<\/strong> <\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>Seven people B, C, O, P, Q, R and S are sitting around a circular table facing the center of the table. Only two people sits between P and B when counted from the right of P. Only S sits between O and P. Q sits to the immediate left of B. C is not an immediate neighbor of P. Who sits third to the left of R?<\/strong><br><br>A. P<br>B. O<br>C. C<br>D. B<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Pattern:<\/strong><br>Right of = clockwise<br>Left of = anti-clockwise<br>Seven People = B,C,O,P,Q,R,S<strong><br><\/strong>Sitting Circular:<br>1 = P<br>2 = R<br>3 = Q<br>4 = B<br>5 = C<br>6 = O<br>7 = S<br><br>Let&#8217;s breakdown: 1, 2, 3, 4, 5, 6, 7, 1<br>Two between P &#8211; B (right of P)<br><strong>P<\/strong>, 2, 3, <strong>B<\/strong>, 5, 6, 7, P<br><br>Only S between O &#8211; P (Nothing mention, so Start from  O)<br>P, 2, 3, B, 5, <strong>O<\/strong>, <strong>S<\/strong>, <strong>P<\/strong><br><br>Q &#8211; B (left of)<br>P, 2, <strong>Q<\/strong>, <strong>B<\/strong>, 5, O, S, P<br><br>C (not immediate of P)<br>P, 2, Q, B, <strong>C<\/strong>, O, S, P<br><br>Only one place left that is for R.<br>P, R, Q, B, C, O, S, P<br><br>The question is: who sits third left of R?<br>P, <strong>R<\/strong>, Q, B, C, <strong>O<\/strong>, S, P<br>Third left of R:<br><strong>R<\/strong>, P, S, <strong>O<\/strong>, C, B, Q, R<br>\u2705 Answer: <strong>B. O<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 99<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30\u00b0 with the ground. Find the height of the kite from the ground.<\/strong><br><br>A. 13.6 m<br>B. 13.2 m<br>C. 12.2 m<br>D. 11.5 cm<\/p>\n\n\n\n<p class=\"is-style-success\">This is a <strong>right triangle (height problem)<\/strong> \u2014 the kite string is the hypotenuse, and the height is the vertical side.<br><br><strong>\ud83d\udd34 Given<br><\/strong>Length of string = <strong>24.4 m<\/strong> (hypotenuse)<br>Angle with ground = <strong>30\u00b0<\/strong><br>Need: <strong>height (opposite side)<\/strong><br><br><strong>\ud83e\udde0 Core Concept<\/strong><br>In a right triangle:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>sin<\/mi><mo>\u2061<\/mo><mi>\u03b8<\/mi><mo>=<\/mo><mfrac><mtext>Opposite<\/mtext><mtext>Hypotenuse<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\sin \\theta = \\frac{\\text{Opposite}}{\\text{Hypotenuse}}<\/annotation><\/semantics><\/math><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>sin<\/mi><mo>\u2061<\/mo><mi>\u03b8<\/mi><mo>=<\/mo><mfrac><mtext>height<\/mtext><mtext>hypotenuse<\/mtext><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\sin\\theta = \\frac{\\text{height}}{\\text{hypotenuse}}<\/annotation><\/semantics><\/math><br><br><strong>\ud83e\udde0 Step (direct application)<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>sin<\/mi><mo>\u2061<\/mo><msup><mn>30<\/mn><mo>\u2218<\/mo><\/msup><mo>=<\/mo><mfrac><mtext>height<\/mtext><mn>24.4<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\sin 30^\\circ = \\frac{\\text{height}}{24.4}<\/annotation><\/semantics><\/math><br>We know:<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>sin<\/mi><mo>\u2061<\/mo><msup><mn>30<\/mn><mo>\u2218<\/mo><\/msup><mo>=<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\sin 30^\\circ = \\frac{1}{2}<\/annotation><\/semantics><\/math><br><strong>\u270f\ufe0f Solve<\/strong><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>=<\/mo><mfrac><mi>h<\/mi><mn>24.4<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{1}{2} = \\frac{h}{24.4}<\/annotation><\/semantics><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>h<\/mi><mo>=<\/mo><mn>24.4<\/mn><mo>\u00d7<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>=<\/mo><mn>12.2<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">h = 24.4 \u00d7 \\frac{1}{2} = 12.2<\/annotation><\/semantics><\/math>\u2705 Answer: <strong>C. 12.2 m<\/strong><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\"><strong>Question 100<\/strong><\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"is-style-info\"><strong>What should come in place of \u2018?\u2019 in the given series?<br>3 10 24 45 73 ?<\/strong><br><br>A. 109<br>B. 111<br>C. 104<br>D. 108<\/p>\n\n\n\n<p class=\"is-style-success\"><strong>Series<\/strong><br>Differences:<br>7, 14, 21, 28<br>Next = +35<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mn>73<\/mn><mo>+<\/mo><mn>35<\/mn><mo>=<\/mo><mn>108<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">73 + 35 = 108<\/annotation><\/semantics><\/math><strong>\u2705 Answer: D. 108<\/strong><\/p>\n<\/div><\/details><\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RRB NTPC Graduate CBT Competitive Exam 2 (16 Mar, 2026): Try &#038; Test RRB NTPC Graduate CBT 2 exam, which was conducted on 16 March, 2026. You&#8217;re not only taking the exercise but also solving and learning from solutons<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"googlesitekit_rrm_CAowwfjFDA:productID":"","_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[5,6,7],"tags":[3],"class_list":["post-231","post","type-post","status-publish","format-standard","hentry","category-railway","category-rrb-ntpc","category-rrb-ntpc-graduate","tag-rrb-ntpc-graduate-cbt-1"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/posts\/231","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/comments?post=231"}],"version-history":[{"count":32,"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/posts\/231\/revisions"}],"predecessor-version":[{"id":299,"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/posts\/231\/revisions\/299"}],"wp:attachment":[{"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/media?parent=231"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/categories?post=231"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/govt.mrenglishkj.com\/railway\/wp-json\/wp\/v2\/tags?post=231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}