Top 50 - Part 3

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35. Clock Reasoning

At exactly 6:00, what is the angle between the hour hand and minute hand?

              12
               |
               |
               |
               |
               |
9 -------------+------------- 3
               |
               |
               |
               |
               6

A) 90° B) 120° C) 180° D) 360°

Answer: C) 180°

Explanation:

At 6:00:

Minute hand → 12
Hour hand   → 6

The hands are directly opposite each other.

Therefore:

Angle = 180°

Answer: C) 180°

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36. Clock Reasoning

At exactly 12:00, what is the angle between the two hands?

              12
              ↑
              |
              |
              |
              +
            /   \
           9     3

A) 0° B) 30° C) 90° D) 180°

Answer: A) 0°

Explanation:

At 12:00, both hands point to 12:

Hour hand   → 12
Minute hand → 12

They overlap.

Therefore:

Angle = 0°

Answer: A) 0°

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37. Clock Gain/Loss

A clock gains 5 minutes every hour.

If the clock is set correctly at 8:00 AM, what time will it show at 12:00 noon?

A) 12:05 PM B) 12:15 PM C) 12:20 PM D) 12:25 PM

Answer: C) 12:20 PM

Explanation:

From 8:00 AM to 12:00 noon:

8 AM → 9 AM = 1 hour
9 AM → 10 AM = 1 hour
10 AM → 11 AM = 1 hour
11 AM → 12 PM = 1 hour

Total = 4 hours

The clock gains 5 minutes per hour:

Gain = 4 × 5
     = 20 minutes

Therefore, when the actual time is:

12:00 PM

the clock shows:

12:20 PM

Answer: C) 12:20 PM

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38. Calendar

If 15 August 2026 is Saturday, what day will 22 August 2026 be?

A) Friday B) Saturday C) Sunday D) Monday

Answer: B) Saturday

Explanation:

The difference between the dates is:

22 - 15 = 7 days

A period of 7 days brings us back to the same weekday:

Saturday
   ↓ +7 days
Saturday

Therefore:

Answer: B) Saturday

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39. Calendar

How many odd days are there in a non-leap year?

A) 0 B) 1 C) 2 D) 3

Answer: B) 1

Explanation:

A normal year contains:

365 days

Divide by 7:

365 ÷ 7 = 52 weeks + 1 day

The remaining day is called an odd day.

Therefore:

Odd days = 1

Answer: B) 1

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40. Calendar

How many odd days are there in a leap year?

A) 1 B) 2 C) 3 D) 4

Answer: B) 2

Explanation:

A leap year contains:

366 days

Divide by 7:

366 ÷ 7 = 52 weeks + 2 days

Therefore:

Odd days = 2

Answer: B) 2

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41. Age Logic

Five years ago, Rahul was twice as old as Amit.

Their present ages add up to 40 years.

What is Rahul’s present age?

A) 20 B) 23 C) 25 D) 30

Answer: B) 23

Explanation:

Let Amit’s present age be:

A

Rahul’s present age is:

R

We know:

R + A = 40

Five years ago:

Rahul = R - 5
Amit  = A - 5

Rahul was twice Amit:

R - 5 = 2(A - 5)

Expand:

R - 5 = 2A - 10
R = 2A - 5

Substitute into the first equation:

2A - 5 + A = 40

3A = 45

A = 15

Therefore:

Rahul = 40 - 15
      = 25

So the correct answer is:

Answer: C) 25

Correction: The original answer choices include 25 as option C, so C) 25 is correct.

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42. Age Logic

A father is 3 times as old as his son.

After 10 years, the father will be twice as old as his son.

What is the son’s present age?

A) 5 B) 10 C) 15 D) 20

Answer: C) 10

Explanation:

Let the son’s present age be:

S

Father’s age:

3S

After 10 years:

Son    = S + 10
Father = 3S + 10

The father will be twice the son’s age:

3S + 10 = 2(S + 10)

Expand:

3S + 10 = 2S + 20

S = 10

Therefore:

Answer: B) 10

Correction: The numerical answer is 10, which corresponds to B, not C.

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43. Age Ranking

A is older than B.

B is older than C.

D is younger than C.

Who is the youngest?

A) A B) B C) C D) D

Answer: D) D

Explanation:

Convert the statements into an order:

A > B
B > C
C > D

Therefore:

A
↓
B
↓
C
↓
D

The lowest position represents the youngest.

Therefore:

Answer: D) D

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44. Scheduling

Four tasks must be completed:

A, B, C, D

Rules:

A must be before B.
C must be before D.
B cannot be first.

Which order is possible?

A) B, A, C, D B) A, B, C, D C) C, D, B, A D) D, C, A, B

Answer: B) A, B, C, D

Explanation:

Check each option.

A:

B → A

B occurs before A.

This violates:

A must be before B

Invalid.

B:

A → B → C → D

Both rules are satisfied:

A before B ✓
C before D ✓
B not first ✓

Valid.

C:

B → A

Invalid.

D:

D → C

C is after D.

Invalid.

Therefore:

Answer: B) A, B, C, D

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45. Scheduling

Five presentations are scheduled:

P, Q, R, S, T

Rules:

P must be before Q.
R must be after S.
T must be first.

Which arrangement is possible?

A) T, P, Q, S, R B) P, T, Q, R, S C) T, Q, P, S, R D) T, R, S, P, Q

Answer: A) T, P, Q, S, R

Explanation:

Check option A:

T → P → Q → S → R

Rules:

P before Q ✓
R after S ✓
T first ✓

All conditions are satisfied.

Therefore:

Answer: A) T, P, Q, S, R

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46. Selection Problem

A team of 3 people must be selected from:

A, B, C, D, E

If A and B cannot be selected together, which of the following teams is possible?

A) A, B, C B) A, C, D C) B, A, E D) A, B, D

Answer: B) A, C, D

Explanation:

The restriction is:

A + B = NOT ALLOWED

Check the options:

A, B, C  → ✗
A, C, D  → ✓
B, A, E  → ✗
A, B, D  → ✗

Only option B does not contain both A and B.

Answer: B) A, C, D

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47. Selection Problem

A project team must contain exactly:

2 Developers + 1 Tester

Available:

Developers:
A, B, C

Testers:
X, Y

How many different teams can be formed?

A) 3 B) 4 C) 6 D) 8

Answer: C) 6

Explanation:

First select 2 developers from 3:

A, B
A, C
B, C

So:

3 possible developer combinations

For each developer combination, there are 2 tester choices:

X or Y

Therefore:

3 × 2 = 6

The six teams are:

A, B, X
A, B, Y

A, C, X
A, C, Y

B, C, X
B, C, Y

Answer: C) 6

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48. Logical Deduction

Four people A, B, C and D each own a different vehicle:

Car
Bike
Bus
Scooter

Facts:

A does not own the car.
B owns neither the bike nor the bus.
C owns the scooter.
D does not own the car.

Who owns the car?

A) A B) B C) C D) D

Answer: B) B

Explanation:

We know:

C = Scooter

A cannot have Car:

A ≠ Car

D cannot have Car:

D ≠ Car

B cannot have Bike or Bus.

Therefore, B’s possible vehicles are:

Car or Scooter

But Scooter already belongs to C:

C = Scooter

Therefore:

B = Car

The remaining vehicles can be assigned:

B → Car
C → Scooter
A → Bike/Bus
D → Bus/Bike

Hence:

Answer: B) B

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49. Logical Deduction

Four students scored different marks.

Rahul > Amit
Amit > Kiran
Kiran > Suresh

Who scored the second-highest marks?

A) Rahul B) Amit C) Kiran D) Suresh

Answer: B) Amit

Explanation:

The relationships give us:

Rahul > Amit > Kiran > Suresh

So the ranking is:

1st → Rahul
2nd → Amit
3rd → Kiran
4th → Suresh

Therefore:

Answer: B) Amit

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50. Critical Reasoning

A company introduces a new training program and observes that employees who completed the training made fewer errors.

The manager concludes:

“The training program caused the reduction in errors.”

Which information would most weaken the manager’s conclusion?

A) The training program lasted three weeks.

B) Employees who completed the training were also given a new, simpler software system.

C) Employees said they liked the training.

D) The training was conducted online.

Answer: B) Employees who completed the training were also given a new, simpler software system.

Explanation:

The manager assumes:

Training
   ↓
Fewer errors

But option B introduces another possible cause:

Training ──────────┐
                   ↓
              Fewer errors
                   ↑
Simpler software ──┘

The reduction in errors could have happened because the software was easier to use rather than because of the training.

Therefore, option B provides an alternative explanation and weakens the causal conclusion most strongly.

Answer: B

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