100 men have provisions for 27 days. If 55 men have left, for how many days the same provisions would last for the remaining men?

A. 60
B. 64
C. 62
D. 58

Men & Days (Work Concept)
👉 Total work = Men × Days (constant)
Initial:
100 × 27 = 2700 man-days
Remaining men = 100 − 55 = 45
Days:$$\frac{2700}{45} = 60$$
✅ Answer: A. 60
👉 Trick: Always convert to man-days → divide by new men.

Preparation of report cards, maintaining student records, and creating question papers are actions that are mainly related to which area of computer application?

A. Space research
B. Education administration
C. Business marketing
D. Automobile control

✅ Answer: B. Education administration

The price of each article of type P, Q, and R is ₹280, ₹180 and ₹115, respectively. Tejas buys articles of each type in the ratio 4 : 2 : 5 for ₹6,165. How many articles of type Q did he purchase?

A. 14
B. 6
C. 3
D. 12

Ratio Purchase
Ratio = 4 : 2 : 5 → total = 11 units
Cost per unit:
4 × 280 + 2 × 180 + 5 × 115
= 1120 + 360 + 575
= 2055
Given total = 6165

6165/2055 = 3
So Q articles:
2 × 3 = 6
✅ Answer: B. 6
👉 Trick: Find cost of one ratio block.

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 conclusions logically follow(s) from the statements.
Statements: All gardens are forests. All forests are meadows. No garden is a park.
Conclusions: (I) No forest is a park. (II) No meadow is a park.

A. Neither conclusion (I) nor (II) follows
B. Only conclusion (I) follows
C. Both conclusions (I) and (II) follow
D. Only conclusion (II) follows

Syllogism
Statements:
Garden ⊂ Forest ⊂ Meadow
No Garden = Park
Conclusion I:
Forest → may include non-garden → ❌
Conclusion II:
Meadow → may include park → ❌
✅ Answer: A. Neither conclusion (I) nor (II) follows
👉 Trick: “All” doesn’t reverse.

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 is numbered 2 and so on till the topmost floor is numbered 6. S lives on floor number 5. X lives on a floor above S. Only U lives below Y. Z lives on an even numbered floor. How many people live below Z?

A. Three
B. Four
C. Two
D. One

Floor Puzzle
Given:
S = 5
X above S → 6
Only U below Y → Y = 2, U = 1
Z even → 4
So below Z (4): floors 1,2,3 → 3 people
✅ Answer: A. Three

Which policy trade-off limited balanced sectoral growth in India during 1951–1991?

A. Private vs. public sector
B. Imports vs. exports
C. Agriculture vs. industry
D. Services vs. manufacturing

✅ Answer: C. Agriculture vs. industry

Find the mode of the following frequency distribution. (Round off the answer to two decimal places.)

A. 32.25
B. 31.51
C. 33.35
D. 34.44

Mode (Grouped Data)
Formula:
$\text{Mode} = l + \frac{f_1 – f_0}{2f_1 – f_0 – f_2} \times h$

Modal class = 30–40
$l = 30$
$f_1 = 20$
$f_0 = 12$
$f_2 = 10$
$h = 10$
$$= 30 + \frac{20-12}{40-12-10} × 10 = 30 + \frac{8}{18}×10 = 30 + 4.44 = 34.44$$
✅ Answer: D. 34.44

What should come in place of ‘?’ in the given series?
45 65 81 93 101 ?

A. 105
B. 103
C. 106
D. 104

Series
45, 65, 81, 93, 101
Differences:
+20, +16, +12, +8 → next +4
$$101 + 4 = 105$$
✅ Answer: A. 105

Refer to the following letter, number, symbol series and answer the question. (All numbers are single digit numbers only.)
(Left) R % C * E 3 K 6 $ 7 D @ 2 T Y # 4 5 G & S (Right)
If all the letters are dropped from the series, which of the following will be fourth from the right?

A. @
B. 4
C. #
D. 2

Series
Remove letters:
% * 3 6 $ 7 @ 2 # 4 5 &
4th from right:
& (1), 5 (2), 4 (3), # (4)
✅ Answer: C. #

A woman travelled at a speed of 20 m/min for 90 min, and at a speed of 55 m/min for 60 min. Her average speed (in m/min) for the entire journey is:

A. 27
B. 40
C. 38
D. 34

Average Speed
Distance:
20 × 90 = 1800,
55 × 60 = 3300
Total = 5100
Time = 150

5100/150 = 34
✅ Answer: D. 34
👉 Trick: Avg speed = total distance / total time.

Which characteristic of a computer system enables it to perform extremely complex calculations within seconds?

A. Versatility
B. Automation
C. Accuracy
D. Speed

✅ Answer: D. Speed

Who among the following is known for his collaboration with international artists and is/was a renowned tabla maestro?

A. Hari Prasad Chaurasia
B. Sajjad Hussain
C. Zakir Hussain
D. EM Subramaniam

✅ Answer: C. Zakir Hussain

In 2025, the Supreme Court of India (SC) in the case State of Tamil Nadu v. Governor of Tamil Nadu ruled that a State Governor cannot exercise which of the following over a bill duly passed by the State Legislature?

A. Line-item veto
B. Pocket Veto
C. Veto only on financial bills
D. Conditional assent

✅ Answer: B. Pocket veto

Three friends travel along three consecutive segments: from P to Q, Q to R, and R to S. Their speeds on these segments are 48 km/h, 72 km/h, and 96 km/h, respectively. The distances of the three segments are in the ratio 2 : 3 : 1, and the total distance from P to S is 480 km. Calculate the average speed for the entire journey.

A. 58 km/h
B. 64 km/h
C. 65 km/h
D. 68 km/h

Average Speed (Weighted)
Ratio distance = 2:3:1 → total = 6
Distances:
160, 240, 80
Time:$$\frac{160}{48} + \frac{240}{72} + \frac{80}{96} = 3.33 + 3.33 + 0.83 = 7.5$$$$\frac{480}{7.5} = 64$$
✅ Answer: B. 64 km/h
👉 Trick: Use weighted harmonic average.

52 is related to 144 following a certain logic. Following the same logic, 81 is related to 173. To which of the following is 63 related, following the same logic?
(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 to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

A. 165
B. 175
C. 145
D. 155

Number Logic
52 → 144
81 → 173
Pattern:
× 2 + 40
Check:
52 × 2 + 40 = 144
81 × 2 + 11 = 173 ❌

Better:
× 2 + (number − something)
Correct:
52 × 2 + 40 = 14481 × 2 + 11 = 173
Difference reduces by 29 → next +?

Try:
63 × 2 + 29 = 155
✅ Answer: D. 155

The total surface area of a solid cube each side of which is 84 cm long is:

A. 42365 cm²
B. 42292 cm²
C. 42359 cm²
D. 42336 cm²

Surface Area Cube
$\text{Surface Area} = 6a^2$$$6×84^2 = 6×7056 = 42336$$
✅ Answer: D. 42336

Seven people B, C, O, P, Q, R and S are sitting around a circular table facing the center of the table. B sits second to the right of S. Q sits third to the left of S. Only two people sit between P and R when counted from the right of R. C is an immediate neighbor of P. Who sits to the immediate left and right of O, respectively?

A. S and B
B. C and B
C. S and P
D. C and S

The Pattern Trick:
right of = clockwise
left of = anti-clockwise
7 people = B,C,O,P,Q,R,S
circular = 1,2,3,4,5,6,7,1…

1 = S
2 = O
3 = B
4 = R
5 = Q
6 = C
7 = P

– B 2nd right of S: We start from S and in B will be 3.

– Q 3rd left of S: Since S is 1, so Q will be 5 anti-clockwise.

– Two between P and R: Starting from R to P there are two between them. This is confusing, because R could be in place of 4 or 6. Let’s check others to confirm.

– C immediate of P means it can be left of right any place. It clears the above issue as well. Because if R is in 6, then there is no room left for C.
So for R = 4, P = 7, C = 6.
Only place left is O = 2.

The question asks: left and right of O
S = 1, O = 2, B = 3.
👉 Answer A. = S and B

At what rate per annum will a sum of money become five times itself in 5 years under simple interest?

A. 82%
B. 160%
C. 80%
D. 78%

Simple Interest
Amount = 5P → SI = 4P
We start putting interest after the end of 1 year, so 5 becomes 4.
$SI = \frac{P \times R \times T}{100} \\ 4P = \frac{P \times R \times 5}{100} \\ \frac{4}{R} = \frac{P \times 5}{100 \times P} \\ \frac{1}{R} = \frac{5}{100 \times 4} \\ R = \frac{400}{5}$
⇒ R = 80%
✅ Answer: C. 80%

In December 2025, the Punjab government directed strict enforcement of which policy to safeguard schoolchildren during dense winter fog (mandatory visibility measures, reduced speed, reflectors, headlights and fog lights)?

A. Motor Vehicles Safety Compliance Programme
B. Safe School Vehicle Policy
C. National Road Safety Policy
D. National School Safety and Security Guidelines

✅ Answer: B. Safe School Vehicle Policy

Shan has ₹1407 with him. He divides this amount between his two sons, Piyush and Manoj, and asks them to invest their respective shares at a compound interest rate of 10% per annum, compounded annually. It is observed that Piyush’s investment amounts to the same value after 18 years as Manoj’s investment does after 19 years. How much (in ₹) did Shan give to Manoj?

A. 670
B. 837
C. 737
D. 520

I Investment
Given:
Piyush (18 yrs) = Manoj (19 yrs)
P(1.1)¹⁸ = M(1.1)¹⁹
⇒ P = M(1.1)¹
⇒ P = 1.1M
Total:
1.1M + M = 1407
⇒ 2.1M = 1407
⇒ M = 1407/2.1
⇒ M = 670
✅ Answer: A. 670

In an election between two candidates, 80% of the registered voters cast their vote and 10% of the votes polled were found invalid. Winning candidate got 89% of the valid votes and won the election by a margin of 351 votes. How many voters were registered?

A. 625
B. 650
C. 600
D. 675

Election
Let voters = x
Votes cast = 0.8x
Valid = 0.9×0.8x = 0.72x
Winner gets 89%
Loser = 11%

Margin:
0.78 × 0.72x = 351
⇒ 0.5616x = 351
⇒ x = 351/0.5616
⇒ x = 625
✅ Answer: A. 625

Each of the digits in the number 52697148 is arranged in descending order from left to right. What will be the product of the digits which are third from the left and second from the right in the number thus formed?

A. 14
B. 12
C. 16
D. 28

Digits
Descending:
9 8 7 6 5 4 2 1
3rd left = 7
2nd right = 2
7 × 2 = 14
✅ Answer: A. 14

In a certain code language,
E + F means ‘E is the brother of F’,
E – F means ‘E is the father of F’,
E x F means ‘E is the husband of F’
and E ÷ F means ‘E is the mother of F’.
How is P related to T if ‘P + Q – R x S ÷ T’?

A. Father’s Father’s Brother
B. Father’s Brother
C. Father
D. Brother

Relation
P + Q → brother
Q – R → father
R × S → husband
S ÷ T → mother
So:
R is father of T.
Q is father of R.
P is brother of Q.
✅ Answer: A. Father’s Father’s Brother

Which island country, along with Sri Lanka, is identified as India’s southern neighbour across the Indian Ocean?

A. Indonesia
B. Bhutan
C. Maldives
D. Thailand

✅ Answer: C. Maldives

Which Ministry was primarily responsible for implementing online child safety initiatives as of December 2025?

A. Ministry of Social Justice
B. Ministry of Electronics and Information Technology (MeitY)
C. Ministry of Home Affairs
D. Ministry of Education

✅ Answer: B. Ministry of Electronics and Information Technology (MeitY)