The following dataset represents the number of books read by 25 students in a month:
11, 7, 2, 3, 4, 6, 4, 5, 5, 10, 6, 15, 4, 7, 2, 8, 9, 9, 6, 10, 1, 12, 13, 14, 6
What is the mode of the dataset?

A. 4
B. 5
C. 6
D. 7

Mode (Ungrouped Data)
Concept:
Mode = most frequent value
1, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9, 9, 10, 10, 11, 12, 13, 14, 15
Frequency check:
6 appears 4 times (highest)
✅ Answer: C. 6

Which Constitutional Amendment Act lowered the voting age in India from 21 years to 18 years?

A. 61st Amendment Act, 1988
B. 62nd Amendment Act, 1989
C. 63rd Amendment Act, 1989
D. 64th Amendment Act, 1990

The 61st Constitutional Amendment Act, 1988 lowered the voting age in India from 21 years to 18 years by amending Article 326. The official legislative text identifies the act and its effect on the voting age.
✅ Answer: A. 61st Amendment Act, 1988

At what rate per annum simple interest will a sum of money become 4 times itself in 15 years?

A. 18%
B. 20%
C. 22%
D. 24%

Simple Interest
4 times ⇒ Interest = 3P
SI = $\frac{P\times R\times T}{100}$

​3p = $\frac{P\times R\times 15}{100}$

$3 = \frac{P\times R\times 15}{100 \times P} \\ \frac{3}{R} = \frac{15}{100} \\ \frac{1}{R} = \frac{15}{100 \times 3} \\ R = \frac{300}{15}$
R = 20%

There is another method: A = 4 times
$A = P (1 + \frac{rt}{100}) \\ 4P = P (1 + \frac{15r}{100}) \\ \frac{4P}{P} = 1 + \frac{15r}{100} \\ 4 = 1 + \frac{15r}{100} \\ 4 – 1 = \frac{15r}{100} \\ \frac{3 \times 100}{15} = r \\ r = \frac{300}{15}$
r = 20%
✅ Answer: B. 20%

P can complete one round of a circular track in 12 minutes and Q can complete one round in 18 minutes. If they start at the same point and move in the same direction, after how many minutes will they meet for the first time?

A. 24
B. 30
C. 36
D. 42

Circular Track
P speed:
1 rounds in 12 min → 1/12

Q:
1 rounds in 18 min = 1/18

Relative speed:
P = 1/12
R = 1/18

Relative =​ $\frac{1}{12} – \frac{1}{18} = \frac{3 – 2}{36} = \frac{1}{36}$

They meet when the faster runner gains one full round, so time is:
Distance = one round

Time to meet
They need to cover 1 round gap$$\text{Time} = \frac{\text{Distance}}{\text{Relative speed}}$$
$Time\ = \frac{1}{\frac{1}{36}} \\ Time\ = \frac{36}{1}$
Time = 36 min
✅ Answer: C. 36

Read the statements and conclusions carefully.
Statements:
All mugs are cups.
Some cups are glassware.
All glassware are breakable.
Conclusions:
(I) Some breakable things are cups.
(II) All mugs are breakable.

A. Only conclusion (I) follows
B. Only conclusion (II) follows
C. Both conclusions follow
D. Neither conclusion follows

Syllogism
Solution
From the statements:
All mugs are cups.
Some cups are glassware.
All glassware are breakable.

Since some cups are glassware and all glassware are breakable, it follows that some breakable things are cups.
But we cannot say all mugs are breakable, because nothing states that mugs are glassware.
So only conclusion (I) follows.
👉 Answer A. Only conclusion (I) follows

Which statement is true regarding file management in Windows?
(i) A file moved to the Recycle Bin can be restored to its original folder.
(ii) A file path represents the hierarchical location of the file in the folder structure.

A. (i) True, (ii) True
B. (i) False, (ii) False
C. (i) True, (ii) False
D. (i) False, (ii) True

Microsoft support states that deleted files can be restored from the Recycle Bin to their original folder. Microsoft’s file-path documentation also describes a path as the hierarchical string of directories leading to a file.
So both statements are true.
✅ Answer: A. (i) True, (ii) True

If 3 is added to each even digit and 2 is subtracted from each odd digit in the number 3579246, how many digits will appear more than once in the new number thus formed?

A. None
B. One
C. Two
D. Three

Digit Operation
Number: 3579246
Even +3: 2→5, 4→7, 6→9
Odd -2: 3→1, 5→3, 7→5, 9→7

New number: 1357579
Repeated digits → 5,7 → 2 digits
✅ Answer: C. Two

Rosy deposited ₹16,000 at 15% compound interest per annum, compounded annually. The total amount received after 2 years is:

A. ₹20,960
B. ₹21,160
C. ₹21,260
D. ₹21,360

Compound Interest
$A = P (1 + \frac{r}{100})^2 \\ A = 16000 (1 + \frac{150}{100})^2 \\ A = 16000 (\frac{100 + 15}{100})^2 \\ A = 16000(1.15)^2$
A = 21160
✅ Answer: B. ₹21,160

The “Abhay” AI-powered chatbot was launched by which organization to help citizens verify official notices and prevent “digital arrest” scams?

A. Reserve Bank of India (RBI)
B. Central Bureau of Investigation (CBI)
C. Enforcement Directorate (ED)
D. Delhi Police

Central Bureau of Investigation (CBI): The “Abhay” chatbot allows users to check the authenticity of CBI notices to combat cyber fraud.
✅ Answer: B. Central Bureau of Investigation (CBI)

Which letter-cluster should replace the question mark?
MIM : ZTW :: UQU : ?

A. HBE
B. VWY
C. CWZ
D. AMP

Pattern:
M, I (-4), M (+4) : Z, T (-6), W (+3)
U, Q (-4), U (+4) : C, W (-6), Z (+3)
Option C matches the pattern.
✅ Answer: C. CWZ

Three of the following four letter-cluster pairs are alike in a certain way and form a group. Which one does not belong to that group?

A. UV-VW
B. CD-DE
C. KL-LM
D. PQ-RT

Solution
Check the patterns:
UV → VW : both letters shift by +1
CD → DE : both letters shift by +1
KL → LM : both letters shift by +1
PQ → RT : not a +1 shift in the same way
So PQ-RT is the odd one out.
✅ Answer: D. PQ-RT

Who took oath in April 2026 as India’s first openly queer Member of Parliament (MP) in the Rajya Sabha?

A. Menaka Guruswamy
B. Arundhati Katju
C. Laxmi Narayan Tripathi
D. Saurabh Kirpal

Menaka Guruswamy: Senior advocate Menaka Guruswamy, a key lawyer in decriminalising Section 377, was nominated to the Rajya Sabha by the TMC.
✅ Answer: A. Menaka Guruswamy

How often do non-Annex I Parties submit Biennial Update Reports (BURs) to the UNFCCC?

A. Every year
B. Every two years
C. Every three years
D. Every five years

UNFCCC states that non-Annex I Parties should submit their Biennial Update Reports every two years.
🎯 FINAL ANSWER: B. Every two years

Simplify the following expression: $[6.75 + \frac{1}{2}] − [4.2 − \frac{3}{5}]$

A. 3.55
B. 3.65
C. 3.75
D. 3.85

Simplify
(6.75 + 0.5) − (4.2 − 0.6)
= 7.25 − 3.6
= 3.65
✅ Answer: B. 3.65

What should come next in the series?
2, 6, 12, 20, 30, ?

A. 40
B. 41
C. 42
D. 44

Solution
Series:
2,6,12,20,30,?
Differences are:
4,6,8,10
The next difference is: 12
So:
30 + 12 = 42
✅ Answer: C. 42

If a : b = 4 : 7 and b : c = 14 : 9, then what is a : c?

A. 8:9
B. 9:8
C. 4:5
D. 7:9

Solution
Given:
a : b = 4 : 7, b : c = 14 : 9
Make b equal in both ratios:
a : b = 4 : 7 = 8 : 14
So:
a : c = 8 : 9
✅ Answer: A. 8:9

Find the third proportional to 9 and 12.

A. 14
B. 15
C. 16
D. 18

The Pattern Trick:
$\frac{12^2}{9} = \frac{144}{9} = 16$

👉 Answer A. 16

Solve for x:
7x − 5 = 44

A. 5
B. 6
C. 7
D. 8

7x – 5 = 44
7x = 44 + 5
7x = 49
x = 49/7
x = 7
✅ Answer: C. 7

Simplify $\frac{25^3 + 9^3}{25^2 – 25 \times 9 + 9^2}$

A. 32
B. 34
C. 36
D. 38

Solution
Use the identity:$$a^3+b^3=(a+b)(a^2-ab+b^2)$$Here $a=25$ and $b=9$. So the numerator is $a^3+b^3$, and the denominator is $a^2-ab+b^2$. Therefore the value is:$$25+9=34$$✅ Answer: B. 34

In a certain code language, FIRE is coded as 7164 and RIFE is coded as 6174. What is the code for R?

A. 2
B. 4
C. 6
D. 8

Solution
From the coding:
FIRE = 7164 gives R = 6
RIFE = 6174 confirms the same mapping
So the code for R is 6.
🎯 FINAL ANSWER: C. 6

India has set a massive target to increase its nuclear power capacity to 100 Giga Watts (GW). By which year does the government plan to achieve this?

A) 2030
B) 2035
C) 2040
D) 2047

2047: The Chairman of the Central Electricity Authority announced this tenfold increase target to be met by India’s centenary of independence.
✅ Answer: D. 2047

Which of the following is an example of application software?

A. Operating system
B. Word processor
C. Device driver
D. Firmware

A word processor is application software because it helps users perform a specific task. Operating systems, device drivers, and firmware are system software.
✅ Answer: B. Word processor

Six people A, B, C, D, E and F sit in a row facing north.
A sits immediately left of B.
B sits immediately left of C.
D sits immediately right of C.
F sits immediately right of D.
E sits at the left end.
Who sits between C and F?

A. A
B. B
C. D
D. E

Pattern:
Right of = clockwise
Left of = anti-clockwise
Seven People = A,B,C,D,E,F
Sitting Circular:
1 = A
2 = B
3 = C
4 = D
5 = F
6 = E

The question is: who sits between C and F?
D
✅ Answer: C. D

A boy flying a kite holds a string of length 26 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.

A. 11.5 m
B. 12.0 m
C. 13.0 m
D. 13.5 m

This is a right triangle (height problem) — the kite string is the hypotenuse, and the height is the vertical side.

🔴 Given
Length of string = 26 m (hypotenuse)
Angle with ground = 30°
Need: height (opposite side)

🧠 Core Concept
In a right triangle:$$\sin \theta = \frac{\text{Opposite}}{\text{Hypotenuse}}$$
$\sin\theta = \frac{\text{height}}{\text{hypotenuse}}$

🧠 Step (direct application)
$sin30^\circ = \frac{height}{26} \\ \\ We\ know:\ sin30^\circ\ is\ \ \frac{1}{2} \\ \\ Solve: \frac{1}{2} = \frac{h}{26} \\ h = 26 \times \frac{1}{2} \\ h = 13$
✅ Answer: C. 13 m

What should come in place of the question mark?
5, 11, 19, 29, 41, ?

A. 51
B. 53
C. 55
D. 57

Series
Differences:
6, 8, 10, 12, …
Next = +14
41 + 14 = 55
✅ Answer: D. 108