Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – 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.)
(19,21,55)
(8,9,23)

A. (22,21,67)
B. (1,21,19)
C. (7,5,3)
D. (20,12,79)

Given:
(19,21,55)
(8,9,23)
Find relation: $3rd\ Value = 1st\ Value \times 4 – 2nd\ Value$
Check: (19, 21, 55)
$55 = 19 \times 4 – 21 \\ 55 = 76 – 21 \\ 55 = 55$

Check second: (8, 9, 23)
$23 = 8 \times 4 – 9 \\ 23 = 32 – 9 \\ 23 = 23$

👉 Pattern:
Check option A:
$67 = 22 \times 4 – 21 \\ 67 = 88 – 21 \\ 67 = 67$

✅ Answer: A. (22,21,67)

Under the Delhi Women & Child Development (WCD) Department’s Women Safety Policy, 2025, what mandatory arrangement must be made for women staff if they are required to work late hours?

A. Accommodation
B. Dinner
C. Bonus
D. Transport

Mandatory provision for late working women → safe transport
✅ Answer: D. Transport

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?

A. Z
B. T
C. S
D. U

Floor Puzzle
Only Z above U → U = 5, Z = 6
T immediately below U → T = 4
Only Y below S → S = 2, Y = 1
Remaining floors 3 → X
👉 Floor 4 = T
✅ Answer: B. T

Which shortcut selects all content in a document?

A. Ctrl+R
B. Ctrl+S
C. Ctrl+E
D. Ctrl+A

✅ Answer: D. Ctrl+A

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.
Q. Five friends – Gaurav, Himanshu, Ishan, Lokesh, and Mukul – are of different ages. Who is the third oldest?
(I) Ishan is older than Gaurav but younger than Lokesh.
(II) Mukul is older than Ishan but younger than Lokesh.

A. Data in Statement II alone is sufficient to answer the question while data in Statement I is not
B. Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
C. Data in Statement I alone is sufficient to answer the question while data in Statement II is not
D. Both statements I and II together are NOT sufficient to answer the question

Data Sufficiency
(I): Lokesh > Ishan > Gaurav
(II): Lokesh > Mukul > Ishan
Combine:
Lokesh > Mukul > Ishan > Gaurav
👉 Still missing Himanshu → cannot decide 3rd
👉 Answer D: Both statements I and II together are NOT sufficient to answer the question

During PM Narendra Modi’s State Visit to Bhutan (11–12 Nov 2025), which hydroelectric project was jointly inaugurated?

A. 720 MW Mangdechhu HEP
B. 1020 MW Punatsangchhu-II HEP
C. 1200 MW Punatsangchhu-I HEP
D. 336 MW Chukha HEP

✅ Answer: B. 1020 MW Punatsangchhu-II HEP

On which river in India is the National Waterway 57 (NW-57) developed?

A. Gandak River
B. Kali River
C. Kopili River
D. Zuari River

✅ Answer: C. Kopili River

In a certain code language,
A + B means ‘A is the daughter of B’
A – B means ‘A is the mother of B’
A x B means ‘A is the wife of B’
A ÷ B means ‘A is the father of B’
Based on the above, how is G related to M if ‘G + R x W ÷ D – M’?

A. Sister
B. Mother’s sister
C. Mother
D. Mother’s mother

Blood Relation
Expression:
G + R × W ÷ D − M
Break:
G + R → G is daughter of R
R × W → R is wife of W
W ÷ D → W is father of D
👉 R = mother of D
D − M → D is mother of M
👉 G = sister of D → maternal aunt of M
The correct answer is B: Mother’s sister.

Who among the following was a prominent disciple of Ramanuja’s Sri Vaishnava tradition who played a significant role in spreading its Bhakti teachings to North India?

A. Ramanujacharya
B. Namdev
C. Madhvacharya
D. Ramananda

✅ Answer: D. Ramananda

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?

A. 9:16
B. 25:36
C. 16:25
D. 27:38

Ratio
Let first number = x
After +25% → 1.25x
Second = 80% of third = 0.8y
So:$$1.25x = 0.8y \Rightarrow \frac{x}{y} = \frac{0.8}{1.25} = \frac{16}{25}$$
✅ Answer: C. 16:25

Which of the following correctly represents the three-er structure of the Council of Ministers?

A. Chief Ministers – State Ministers – Deputy Chief Ministers
B. Cabinet Ministers – Ministers of State – Deputy Ministers
C. Prime Minister – Ministers of State – Cabinet Ministers
D. Cabinet Ministers – Deputy Ministers – Governors

✅ Answer: B. Cabinet Ministers – Ministers of State – Deputy Ministers

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 $\pi = 3.14$)

A. 55.61 cubic cm
B. 40.55 cubic cm
C. 42.62 cubic cm
D. 50.24 cubic cm

Solid from Triangle
Triangle = 3-4-5 (right triangle)
Rotating about side 3 → forms cone
radius = 4
height = 3
$V = \frac{1}{3} \pi r^2 h \\ V = \frac{1}{3} \pi \times 4^2 \times 3 \\ V = 1 \pi \times 16 \\ V = 16\pi \\ V = 16\times 3.14 \\ V = 50.24$

✅ Answer: D. 50.24 cubic cm

Which system has become a cornerstone of government development policy and is tied to most rural development programs?

A. Swachh Bharat Abhiyan
B. Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA)
C. Mahatma Gandhi National Rural Employment Empowerment Scheme (MGNRES)
D. Public Distribution System (PDS)

✅ Answer: B. Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA)

What should come in place of the question mark (?) in the given series?
20 22 25 30 37 ?

A. 49
B. 55
C. 48
D. 51

Series
20, 22, 25, 30, 37
Differences:
+2, +3, +5, +7
👉 next = +11
👉 37 + 11 = 48
✅ Answer: C. 48

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?

A. Article 85
B. Article 86
C. Article 88
D. Article 87

✅ Answer: D. Article 87

If the equations $x^2 – 3px + q = 0$ and $x^2 – 2kx + t = 0$ have one common root, and the first equation has equal roots, what is the value of $(t + q)^2$?

A. 0
B. 4pk
C. 9p²k²
D. (3p – 2k)

🔴 Given
Two equations:$$(1)\; x^2 – 3px + q = 0$$$$(2)\; x^2 – 2kx + t = 0$$Conditions:
One common root
First equation has equal roots

Find:$$(t + q)^2$$
🧠 Step 1: Use “equal roots” condition
👉 For a quadratic:$$ax^2 + bx + c = 0$$
Equal roots ⇒ Discriminant = 0$$b^2 – 4ac = 0$$
Apply to (1):$$(-3p)^2 – 4(1)(q) = 0$$$$9p^2 – 4q = 0$$$$q = \frac{9p^2}{4}$$
🧠 Step 2: Find the repeated root of (1)
For equal roots:$$x = \frac{-b}{2a}$$$$x = \frac{3p}{2}$$
👉 This root is common root

🧠 Step 3: Put this root in second equation
Since it’s common:$$x = \frac{3p}{2}$$Put in (2):$$x^2 – 2kx + t = 0$$
Substitute:$$\left(\frac{3p}{2}\right)^2 – 2k\left(\frac{3p}{2}\right) + t = 0$$$$\frac{9p^2}{4} – 3kp + t = 0$$
🧠 Step 4: Use value of q
We already have:$$q = \frac{9p^2}{4}$$So:$$q – 3kp + t = 0$$$$t + q = 3kp$$
🧠 Step 5: Now key observation
👉 From root of equation (2):
Sum of roots:$$= 2k$$One root = $\frac{3p}{2}$
Let other root = r$$\frac{3p}{2} + r = 2k$$👉 Product of roots:$$= t$$$$\frac{3p}{2} \cdot r = t$$
🧠 Step 6: Use these smartly
From sum:$$r = 2k – \frac{3p}{2}$$
Put in product:$$t = \frac{3p}{2} \left(2k – \frac{3p}{2}\right)$$$$t = 3kp – \frac{9p^2}{4}$$
🧠 Step 7: Now compute $t + q$
$$t + q = \left(3kp – \frac{9p^2}{4}\right) + \frac{9p^2}{4}$$$$t + q = 3kp$$
🧠 Step 8: Final value$$(t + q)^2 = (3kp)^2 = 9k^2 p^2$$
⚠️ Final Insight (IMPORTANT)
👉 But since no numerical value of k or p is given,
👉 expression simplifies to:$$\boxed{9k^2 p^2}$$✅ Answer: C

Which provision addresses citizenship for persons who migrated from Pakistan before India’s Constitution commencement?

A. Article 5
B. Article 8
C. Article 10
D. Article 6

👉 Answer D: Article 6

Who among the following established the famous Nrityagram institution in Bengaluru?

A. Protima Gauri
B. Pavithra Reddy
C. Surupa Sen
D. Bijayini Satpathy

✅ Answer: A. Protima Gauri

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:

A. 210.5 gm
B. 214.1 gm
C. 209.5 gm
D. 213.6 gm

False Weight
Let CP = 100
Selling at 60% loss → SP = 40
But gains 90% → effective SP = 190
So:
​$\frac{40}{190} = \frac{actual}{1000}$

Actual weight ≈ 210.5 g
✅ Answer: A. 210.5 gm

In a certain code language,
T + J means ‘ T is the father of J’,
T – J means ‘ T is the daughter of J’,
T X J means ‘ T is the mother of J’,
and T # J means ‘ T is the husband of J ’.
Based on the above, how is G related to R if ‘ G # A – R + K’?

A. Daughter’s husband
B. Sister’s husband
C. Husband’s brother
D. Husband

Blood Relation
G # A → husband
A − R → daughter
R + K → father
👉 G = husband of daughter of R
🎯 FINAL ANSWER: A. Daughter’s husband

Refer to the following letter, symbol series and answer the question. Counting to be done from left to right only.
(Left) B * £ J E % \$ * V € G * D H @ A £ O V \$ T Y (Right)
How many such letters are there each of which is immediately preceded by a symbol and also immediately followed by a symbol?

A. 2
B. 4
C. 5
D. 3

Symbol Series
Check letters between symbols:
Valid = V, G, A
👉 total = 3
✅ Answer: D

If 15% of $80 – \frac{3}{6} \times \sqrt[3]{216} \times \sqrt{36} = y$, then the value of y is ___?

A. -6
B. -12
C. -3
D. -10

Simplification
15% × 80 = 12
​3/6 × 6 × 6 = 18
12 − 18 = −6
✅ Answer: A. -6

Which of the following letter-number clusters will replace the question mark “?” in the given series to make it logically complete?
QIL 14, UMP 18, YQT 22, CUX 26, ?

A. HZC 29
B. GZD 30
C. GXZ 32
D. GYB 30

Coding Series
Pattern:
+4 shift letters
+4 numbers
Next:
G Y B → 30
✅ Answer: D. GYB 30

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.
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?

A. N
B. P
C. L
D. R

Key Points:
– “right of” goes clockwise.
– “left of” goes anti-clockwise
– Circular table like a clock: 1,2,3,4,5,6,7.
– There are total 7: K,L,M,N,P,Q,R.
– All we have to do is to fit them in position to solve.

Let’s begin.
1 = N
2 = L
3 = R
4 = Q
5 = P
6 = K
7 = M
✅ Now Check Conditions (Fast Trick Method):
1. N → Q (two between)
N → ? → ? → Q → ? → ? → ? → N… ✔️ (The circle starts from N to N)

2. Q → M (two between)
N → ? → ? → Q → ? → ? → M → N… ✔️

3. N → P (three between)
N → ? → ? → Q → P → ? → M → N… ✔️

4. L → R (left of R)
N → R → L → Q → P → ? → M → N… ✔️

5. K (only left is K)
N → R → L → Q → P → K → M → N… ✔️

The question asked:
👉 Who sits third left of K
N → R → L → Q → P → K → M → N… ✔️
Left of K:
K → P → Q → L → R → N → M → K… ✔️
👉 Answer D: R

This question is based on the five, three-digit numbers given below.
(Left) 547 589 652 598 637 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
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?

A. 9
B. 14
C. 11
D. 12

The fastest trick:
Numbers:
547, 589, 652, 598, 637
Highest = 652 → 2nd digit = 5
Lowest = 547 → 2nd digit = 4
👉 5 + 4 = 9
✅ Answer: A. 9