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Top 25 - Part 1
LOGICALREASONING

Top 25 - Part 1

Practice the first 13 questions from the top 25 logical reasoning set, covering common placement aptitude patterns.


1. Analogy

Book : Author :: Painting : ?

A) Artist B) Gallery C) Colour D) Canvas

Answer: A) Artist

Explanation:

An author creates a book. Similarly, an artist creates a painting.

Author  →  Book
Artist  →  Painting

Therefore, the answer is Artist.


2. Analogy

Doctor : Hospital :: Teacher : ?

A) Student B) School C) Book D) Classroom

Answer: B) School

Explanation:

A doctor generally works in a hospital.

Similarly, a teacher generally works in a school.

Doctor   → Hospital
Teacher  → School

Therefore, the answer is School.


3. Odd One Out

Find the odd one out:

A) Apple B) Mango C) Banana D) Carrot

Answer: D) Carrot

Explanation:

Apple   → Fruit
Mango   → Fruit
Banana  → Fruit
Carrot  → Vegetable

The first three are fruits, while Carrot is a vegetable.

Therefore, the odd one out is Carrot.


4. Odd One Out

Find the odd number:

A) 16 B) 25 C) 36 D) 45

Answer: D) 45

Explanation:

16 = 4²
25 = 5²
36 = 6²
45 = Not a perfect square

The first three are perfect squares.

Therefore, 45 is the odd one out.


5. Letter Analogy

If:

AB → CD

Following the same pattern:

A → C  (+2)
B → D  (+2)

Therefore:

EF → ?

E → G
F → H

EF → GH

A) GH B) FG C) HI D) IJ

Answer: A) GH

Explanation:

Each letter moves 2 positions forward:

A → C
B → D

E → G
F → H

Therefore, EF → GH.


6. Alphabet Test

If the letters of the word COMPUTER are arranged in alphabetical order, which letter will be 4th from the left?

Original word:

C O M P U T E R

Arrange alphabetically:

C E M O P R T U

Positions:

1 → C
2 → E
3 → M
4 → O
5 → P
6 → R
7 → T
8 → U

A) E B) M C) O D) P

Answer: C) O

Explanation:

The 4th letter in alphabetical order is O.


7. Alphabetical Order

Arrange the following words in alphabetical order:

1. Apple
2. Application
3. Apply
4. Aptitude

Which word comes second?

A) Apple B) Application C) Apply D) Aptitude

Answer: B) Application

Explanation:

Compare the words letter by letter:

Apple
Application
Apply
Aptitude

Alphabetical order:

1. Apple
2. Application
3. Apply
4. Aptitude

The first three start with:

App...

Then compare:

Apple       → Appl e
Application → Appl i
Apply       → Appl y

Since:

e < i < y

the order is:

Apple
Application
Apply
Aptitude

Therefore, the second word is Application.


8. Venn Diagram

Which diagram best represents the relationship between Doctors, Engineers and Humans?

Humans
+--------------------------------+
|                                |
|    Doctors        Engineers    |
|      (  )           (  )       |
|                                |
+--------------------------------+

Doctors and engineers are both groups of humans.

             HUMANS
      ┌──────────────────┐
      │                  │
      │   (Doctors)      │
      │                  │
      │   (Engineers)    │
      │                  │
      └──────────────────┘

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

Answer: B) B

Explanation:

Both doctors and engineers are humans.

Therefore:

Doctors ⊂ Humans
Engineers ⊂ Humans

Doctors and engineers may overlap because a person can potentially be both a doctor and an engineer.

The correct representation is the one where both groups are inside Humans.

Therefore, B is correct.


9. Venn Diagram

Which diagram best represents:

Students, Boys and Girls

Assume that some students are boys and some students are girls, but boys and girls cannot overlap.

Correct representation:

              STUDENTS
      ┌──────────────────────┐
      │                      │
      │    (BOYS)            │
      │                      │
      │             (GIRLS)  │
      │                      │
      └──────────────────────┘

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

Answer: A) A

Explanation:

Boys and girls are both groups of students:

Boys   ⊂ Students
Girls  ⊂ Students

But boys and girls cannot overlap:

      STUDENTS
   ┌───────────────┐
   │               │
   │   (Boys)      │
   │               │
   │   (Girls)     │
   │               │
   └───────────────┘

Therefore, A is the correct diagram.


10. Calendar

If 1 January 2025 was Wednesday, what day was 1 January 2026?

A) Wednesday B) Thursday C) Friday D) Saturday

Answer: B) Thursday

Explanation:

2025 is not a leap year.

Therefore:

2025 = 365 days
365 ÷ 7 = 52 weeks + 1 day

So the day moves forward by 1 day.

Wednesday + 1 day = Thursday

Therefore:

1 January 2026 = Thursday.


11. Calendar

If today is Monday, what day will it be after 100 days?

A) Tuesday B) Wednesday C) Thursday D) Friday

Answer: B) Wednesday

Explanation:

A week contains 7 days.

100 ÷ 7 = 14 weeks + 2 days

14 complete weeks bring us back to Monday.

Then move 2 days:

Monday
   ↓ +1
Tuesday
   ↓ +1
Wednesday

Therefore, the answer is Wednesday.


12. Clock

What is the angle between the hour hand and minute hand at 3:30?

             12
              |
         11   |   1
       10     |     2

    9 --------+-------- 3

        8     |     4
          7   |   5
              6

At 3:30:

Minute hand → 6
Hour hand   → halfway between 3 and 4

A) 60° B) 75° C) 90° D) 105°

Answer: B) 75°

Explanation:

The minute hand at 30 minutes is at:

6 → 180°

The hour hand at 3:30 has moved halfway from 3 toward 4.

At 3:00:

Hour hand = 90°

In 30 minutes, it moves:

30 × 0.5° = 15°

So:

Hour hand = 90° + 15°
           = 105°

Difference:

180° - 105° = 75°

Therefore, the angle is 75°.


13. Clock

At what time between 4 and 5 o’clock will the hour and minute hands overlap?

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

A) 20 4/11 minutes past 4 B) 21 9/11 minutes past 4 C) 22 5/11 minutes past 4 D) 23 7/11 minutes past 4

Answer: A) 20 4/11 minutes past 4

Explanation:

At exactly 4:00:

Hour hand = 4 × 30°
           = 120°

Minute hand = 0°

The hour hand is therefore:

120°

ahead of the minute hand.

The minute hand gains on the hour hand at:

6° - 0.5°
= 5.5° per minute

Therefore:

Time = 120 / 5.5
     = 240 / 11
     = 21 9/11 minutes

So the correct answer should actually be:

B) 21 9/11 minutes past 4

Important correction: The options provided make B the mathematically correct answer. Therefore, the answer is B, not A.


14. Cube

A cube is painted on all six faces and then divided into 27 equal smaller cubes.

        +-------+
       /       /|
      +-------+ |
      |       | |
      |       | +
      |       |/
      +-------+

Since:

27 = 3 × 3 × 3

How many smaller cubes will have paint on exactly two faces?

A) 8 B) 12 C) 16 D) 24

Answer: B) 12

Explanation:

Cubes with exactly two painted faces are located along the edges, excluding the corner cubes.

For a 3 × 3 × 3 cube:

Each edge:
3 cubes

But the two corner cubes on each edge have 3 painted faces, so only:

3 - 2 = 1

cube per edge has exactly 2 painted faces.

There are 12 edges:

12 × 1 = 12

Therefore, the answer is 12.

Visual idea:

          ●────●────●
         /          /|
        ●          ● |
       /          /  |
      ●────●────●   |
      |           |  ●
      |           | /
      ●────●────●

The non-corner cubes located on edges have exactly two painted faces.


15. Cube

A cube is painted on all six faces and divided into 64 equal smaller cubes.

64 = 4 × 4 × 4

Conceptually:

+---+---+---+---+
|   |   |   |   |
+---+---+---+---+
|   |   |   |   |
+---+---+---+---+
|   |   |   |   |
+---+---+---+---+
|   |   |   |   |
+---+---+---+---+

How many smaller cubes will have no paint on them?

A) 4 B) 8 C) 16 D) 24

Answer: B) 8

Explanation:

For a cube divided into:

4 × 4 × 4

the unpainted cubes are completely inside the cube.

Remove the outer painted layer from each dimension:

4 - 2 = 2

Therefore, the number of completely unpainted cubes is:

2 × 2 × 2 = 8

So:

Answer = B) 8


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