Top 50 - Part 1

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1. Mathematical Operation

If:

8 * 4 = 48
7 * 3 = 30
6 * 5 = 55

then:

9 * 2 = ?

A) 18 B) 22 C) 27 D) 36

Answer: C) 27

Explanation:

The pattern is:

a * b = a × b + b²

Check:

8 * 4
= (8 × 4) + 4²
= 32 + 16
= 48

7 * 3
= (7 × 3) + 3²
= 21 + 9
= 30

Therefore:

9 * 2
= (9 × 2) + 2²
= 18 + 4
= 22

Correction: The correct answer is actually B) 22, not C.

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2. Mathematical Operation

If:

4 # 3 = 25
5 # 2 = 29
6 # 4 = 52

then:

7 # 3 = ?

A) 49 B) 52 C) 58 D) 64

Answer: C) 58

Explanation:

The pattern is:

a # b = a² + b²

Check:

4 # 3
= 4² + 3²
= 16 + 9
= 25

5 # 2
= 5² + 2²
= 25 + 4
= 29

6 # 4
= 6² + 4²
= 36 + 16
= 52

Therefore:

7 # 3
= 7² + 3²
= 49 + 9
= 58

Answer: C) 58

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3. Missing Number in Matrix

Find the missing number:

┌─────┬─────┬─────┐
│  4  │  7  │  11 │
├─────┼─────┼─────┤
│  5  │  8  │  13 │
├─────┼─────┼─────┤
│  6  │  9  │  ?  │
└─────┴─────┴─────┘

A) 14 B) 15 C) 16 D) 17

Answer: B) 15

Explanation:

Look at each row:

4 + 7  = 11
5 + 8  = 13
6 + 9  = 15

Therefore:

? = 6 + 9
  = 15

Answer: B) 15

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4. Missing Number in Matrix

Find the missing number:

┌─────┬─────┬─────┐
│  2  │  3  │  8  │
├─────┼─────┼─────┤
│  4  │  5  │  24 │
├─────┼─────┼─────┤
│  6  │  7  │  ?  │
└─────┴─────┴─────┘

A) 36 B) 42 C) 48 D) 54

Answer: B) 42

Explanation:

The pattern is:

First × Second + First

Check:

2 × 3 + 2 = 8
4 × 5 + 4 = 24

Therefore:

6 × 7 + 6
= 42 + 6
= 48

Correction: The correct answer is C) 48, not B.

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5. Missing Letter

Find the missing letter:

A, C, F, J, O, ?

A) T B) U C) V D) W

Answer: B) U

Explanation:

Convert the letters to positions:

A = 1
C = 3
F = 6
J = 10
O = 15

The increments are:

+2, +3, +4, +5

Next increment:

+6

Therefore:

15 + 6 = 21

The 21st letter is U.

Answer: B) U

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6. Alpha-Numeric Pattern

Find the missing term:

A1, C3, F6, J10, O15, ?

A) T20 B) U21 C) V21 D) U20

Answer: B) U21

Explanation:

The letters move by increasing increments:

A → C = +2
C → F = +3
F → J = +4
J → O = +5
O → U = +6

The numbers follow:

1, 3, 6, 10, 15, 21

These are triangular numbers:

1
1 + 2 = 3
1 + 2 + 3 = 6
1 + 2 + 3 + 4 = 10
1 + 2 + 3 + 4 + 5 = 15
1 + 2 + 3 + 4 + 5 + 6 = 21

Therefore:

U21

Answer: B) U21

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7. Alpha-Numeric Pattern

Find the missing term:

B2, D4, G7, K11, P16, ?

A) U21 B) V22 C) W23 D) X24

Answer: B) V22

Explanation:

Letter positions:

B = 2
D = 4
G = 7
K = 11
P = 16

Increments:

+2, +3, +4, +5

Next:

+6

Therefore:

P + 6 = V

The numbers also follow:

2, 4, 7, 11, 16, 22

with differences:

+2, +3, +4, +5, +6

Therefore:

V22

Answer: B) V22

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8. Letter Transformation

If:

CAT → DBU
DOG → EPH

then:

FISH → ?

A) GJTI B) GJSH C) EHRG D) GISH

Answer: A) GJTI

Explanation:

Every letter moves one position forward:

C → D
A → B
T → U

Therefore:

CAT → DBU

Apply the same rule:

F → G
I → J
S → T
H → I

So:

FISH → GJTI

Answer: A) GJTI

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9. Word Formation

How many meaningful English words can be formed using the letters:

A, R, E

using each letter only once?

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

Answer: C) 3

Explanation:

Using all three letters, we can form:

ARE
EAR
ERA

Therefore:

ARE
EAR
ERA

There are 3 meaningful English words.

Answer: C) 3

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10. Word Formation

Which word cannot be formed from the letters of:

COMPUTER

A) COURT B) COMPUTER C) ROUTE D) MOTHER

Answer: D) MOTHER

Explanation:

Letters available:

C O M P U T E R

Check the options:

COURT
C O U R T
✓ Can be formed

COMPUTER
C O M P U T E R
✓ Can be formed

ROUTE
R O U T E
✓ Can be formed

MOTHER
M O T H E R
✗ H is not available

Therefore, MOTHER cannot be formed.

Answer: D) MOTHER

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11. Dictionary Order

Which word comes first when arranged alphabetically?

A) Plane B) Planet C) Plant D) Plastic

Answer: A) Plane

Explanation:

Compare the words:

Plane
Planet
Plant
Plastic

All begin with Pl.

Now compare the next letters:

Plane     → Pla...
Planet    → Pla...
Plant     → Pla...
Plastic   → Pla...

Compare further:

Plane  → Plan + e
Planet → Plan + e + t
Plant  → Plan + t

Since e < t, the words beginning with Plane/Planet come before Plant.

Between Plane and Planet:

Plane
Planet

Plane ends earlier after the common prefix Plane, so it comes first.

Therefore:

Answer: A) Plane

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12. Dictionary Order

Arrange these words in dictionary order:

1. Manage
2. Mango
3. Man
4. Manner

Which is the correct order?

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

Answer: A) 3, 1, 4, 2

Explanation:

First compare:

Man
Manage
Mango
Manner

Since Man ends after the common letters Man, it comes first.

Now compare the remaining words:

Manage → Mana...
Manner → Mann...
Mango  → Mang...

At the fourth letter:

a < g < n

Therefore:

Man
Manage
Mango
Manner

Correction: The actual order is:

3 → 1 → 2 → 4

Therefore, the correct answer is D) 3, 1, 2, 4.

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13. Number Classification

Which number does not belong to the group?

A) 8 B) 27 C) 64 D) 100

Answer: D) 100

Explanation:

The first three numbers are perfect cubes:

8  = 2³
27 = 3³
64 = 4³

But:

100 ≠ n³

Therefore, 100 is different.

Answer: D) 100

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14. Number Classification

Which number is different from the others?

A) 121 B) 144 C) 169 D) 180

Answer: D) 180

Explanation:

The first three are perfect squares:

121 = 11²
144 = 12²
169 = 13²

But:

180

is not a perfect square.

Therefore, the answer is D) 180.

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15. Figure Counting

How many triangles are present in the following figure?

        /\
       /  \
      /____\
     /\    /\
    /  \  /  \
   /____\/____\

A) 4 B) 5 C) 6 D) 8

Answer: C) 6

Explanation:

Count the visible small triangles:

        /\
       /  \
      /____\
       △

     /\    /\
    /  \  /  \
   /____\/____\
     △     △

There are also larger triangles formed by combining smaller sections.

The total is:

Small triangles = 4
Larger triangle = 2
--------------------
Total            = 6

Answer: C) 6

Note: Figure-counting questions depend heavily on the exact lines in the diagram. In an actual placement test, always count both the smallest and composite triangles.

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16. Figure Counting

How many squares are present?

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

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

Answer: B) 5

Explanation:

There are:

4 small squares

plus:

1 large square

The large square is formed by combining all four small squares:

+---+---+
| 1 | 2 |
+---+---+
| 3 | 4 |
+---+---+

So:

4 + 1 = 5

Answer: B) 5

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17. Figure Completion

Which symbol should replace ??

○  △  ○  △  ○  ?

A) ○ B) △ C) □ D) ◇

Answer: B) △

Explanation:

The pattern alternates:

○ → △ → ○ → △ → ○ → △

Therefore:

? = △

Answer: B) △

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