Coded Logic MCQ Quiz - Objective Question with Answer for Coded Logic - Download Free PDF

Last updated on Jun 11, 2025

In these questions some of the equations involving numbers are given which follow a certain logic common to all equations. We need to identify the logic and find out the correct answer based on that logic. Here we need to practice as many questions as possible so that we have adequate logic in our mind. There is nothing like a definite method for these types of questions but they can be mastered with the help of continuous practice,identifying as many logics possible. Here are the questions covering most of the important coded logics for aspirants to practice.

Latest Coded Logic MCQ Objective Questions

Coded Logic Question 1:

Let xy=x2yy for y0. If 45=k10, then the value of k is 

  1. 7
  2. 8
  3. 9
  4. 6

Answer (Detailed Solution Below)

Option 2 : 8

Coded Logic Question 1 Detailed Solution

Given:

x ⊗ y = (x - 2y) / y

4 ⊗ 5 = k ⊗ 10

Logic:

x ⊗ y = (x - 2y) / y

Calculation:

4 ⊗ 5 = k ⊗ 10

⇒ (4 - 2 × 5) / 5 = (k - 2 × 10) / 10

⇒ (4 - 10) / 5 = (k - 20) / 10

⇒ -6 × 10 = 5 × (k - 20)

⇒ -60 = 5k - 100

⇒ -60 + 100 = 5k

⇒ 40 = 5k

⇒ k = 40 / 5 = 8

The value of k is 8.

Hence, the correct answer is "Option 2".

Coded Logic Question 2:

What will be the value of the following equation if '÷' means 'addition', '+' means 'subtraction', '-' means 'multiplication' and '×' means 'division"?

72 × 9 - 3 ÷ 8 + 2 = ?

  1. 30
  2. 35
  3. 25
  4. 40

Answer (Detailed Solution Below)

Option 1 : 30

Coded Logic Question 2 Detailed Solution

BODMAS Rule:

According to the question, the symbol meanings are:

Original Symbol ÷ + - ×
New Meaning + - × ÷

Now,

Given equation: 72 × 9 - 3 ÷ 8 + 2 = ?

After replacing the symbols with their meanings:

⇒ 72 ÷ 9 × 3 + 8 - 2

Perform operations according to BODMAS/PEMDAS:

72 ÷ 9 × 3 + 8 - 2

8 × 3 + 8 - 2

24 + 8 - 2

32 - 2

⇒ 30

Hence, the correct answer is "Option 1".

Coded Logic Question 3:

If # stands for ×, @ stands for ÷, ∧ stands for + and ∨ stands for –, then find the value of

6 # 13 ∧ 45 @ 3 ∨ 7 # 12

  1. 147
  2. 9
  3. 150
  4. 14

Answer (Detailed Solution Below)

Option 2 : 9

Coded Logic Question 3 Detailed Solution

BODMAS

Given the following codes:

Symbol Stands for
# ×
@ ÷
+

 

Expression: 6 # 13 ∧ 45 @ 3 ∨ 7 # 12

After symbol meaning.

6 × 13 + 45 ÷ 3 – 7 × 12

 (BODMAS)

→ 6 × 13 + 45 ÷ 3 – 7 × 12

→ 6 × 13 + 15 – 7 × 12

→ 78 + 15 – 84

→ 9

Hence, the correct answer is "Option 2".

Coded Logic Question 4:

 If 2 + 3 = 8 ; 4 + 5 = 24 ; 1 + 8 = 9, then what is 3 + 6 ?

  1. 12
  2. 21
  3. 20
  4. 22

Answer (Detailed Solution Below)

Option 2 : 21

Coded Logic Question 4 Detailed Solution

The logic followed here is:

2 + 3 = 8 → (2 × 3) + 2 ⇒ 8

4 + 5 = 24 → (4 × 5) + 4 ⇒ 24

1 + 8 = 9 → (1 × 8) + 1 ⇒ 9

Similarly,

3 + 6 = ? → (3 × 6) + 3 21

Hence, "Option 2" is the correct answer.

Coded Logic Question 5:

If 16 * 24 = 20, 71 * 19 = 45 and 8 * 52 = 30, then what will be 35 * 27?

  1. 42
  2. 49
  3. 51
  4. 31
  5. None of the above

Answer (Detailed Solution Below)

Option 4 : 31

Coded Logic Question 5 Detailed Solution

The pattern followed here is,

(first number + second number) ÷ 2 = third number

Like

(16 + 24) ÷ 2 = 40 ÷ 2 = 20

(71 + 19) ÷ 2 = 90 ÷ 2 = 45

(8 + 52) ÷ 2 = 60 ÷ 2 = 30

Similarly,

(35 + 27) ÷ 2 = 62 ÷ 2 = 31

Hence, option 4 is the correct answer.

Top Coded Logic MCQ Objective Questions

Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis.

If 45 × 72 = 9, 40 × 51 = 7, then 12 × 40 = ?

  1. 4
  2. 6
  3. 8
  4. 2

Answer (Detailed Solution Below)

Option 1 : 4

Coded Logic Question 6 Detailed Solution

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The pattern followed is:

Sum of first two numbers is divided by 13.

45 + 72 = 117, 117 ÷ 13 = 9

40 + 51 = 91, 91 ÷ 13 = 7

Similarly,

12 + 40 = 52, 52 ÷ 13 = 4

Therefore, ‘4’ is the correct answer.

If 9 × 6 = 45, 7 × 4 = 33 and 6 × 4 = 20, then what is the value of 5 × 3?

  1. 13
  2. 16
  3. 24
  4. 10

Answer (Detailed Solution Below)

Option 2 : 16

Coded Logic Question 7 Detailed Solution

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The logic here is as follows,

92 – 62 = 81 – 36 = 45

72 – 42 = 49 – 16 = 33

62 – 42 = 36 – 16 = 20

Similarly,

52 – 32 = 25 – 9 = 16

Thus, the value of 5 × 3 = 16.

If each term in the given sequence is assigned number 1, 2, 3 … according to their position form the left, then the sum of the numerical values of the positions of the symbols will be __________.

R + J M 2 $ # Q R ? * O @ 7 F 3

  1. 48
  2. 49
  3. 44
  4. 51

Answer (Detailed Solution Below)

Option 2 : 49

Coded Logic Question 8 Detailed Solution

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R

 +

J

M

2

$

#

Q

R

?

*

O

@

7

F

3

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

 

Thus the sum of the numerical values of the positions of the symbols will be

= 2 + 6 + 7 +10 + 11 + 13 = 49

Select the number from the given options that can replace the question mark(?) below:

If 243 (222) 317, then 548 (?) 621

  1. 210
  2. 209
  3. 211
  4. 219

Answer (Detailed Solution Below)

Option 4 : 219

Coded Logic Question 9 Detailed Solution

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Given: 243 (222) 317

The logic follows here is:

317 - 243 = 74,

74 × 3 = 222

Similarly, to solve 548 (?) 621:

621 - 548 = 73,

73 × 3 = 219

Hence, 219 is the correct answer.

In a certain code language, if 23 + 49 = 278, and 24 + 51 = 410, then 78 + 61 = ?

  1. 428
  2. 139
  3. 842
  4. 157

Answer (Detailed Solution Below)

Option 3 : 842

Coded Logic Question 10 Detailed Solution

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The logic followed here is-

  • 23 + 49 = 278 → (3 × 9) ( 2 × 4) = (27) (8) → 278
  • 24 + 51 = 410 → (4 × 1) (2 × 5) = (4) (10) → 410
  • 78 + 61 = 842 → (8 × 1) (7× 6) = (8) (42) → 842

Hence, 842 is the correct answer.

If 142 F (17 H 11) = 7 and 242 F (8 H 16) = 24, then find the value of 452 F (270 H 90) = ? 

  1. 525
  2. 6.25
  3. 5.625
  4. 900

Answer (Detailed Solution Below)

Option 3 : 5.625

Coded Logic Question 11 Detailed Solution

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The pattern/logic followed here is:

Letter

F

H

Meaning

÷

    +

 

142 F 17 H 11 = 7 → 142 ÷ (17 + 11) = 7;

242 F 8 H 16 = 24 → 242 ÷ (8 + 16) = 24;

Similarly,

452 F 270 H 90 = ? → 452 ÷ (270 + 90) = 5.625

Hence, the answer is ‘5.625’.

If 2 * 7 # 1 = 5 and 71 * 100 # 2 = 58, then in the expression 3 * 6 # A = 30, what is the value of 'A'?

  1. 6
  2. 10
  3. 5
  4. 15

Answer (Detailed Solution Below)

Option 2 : 10

Coded Logic Question 12 Detailed Solution

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The meaning of symbols used in the equations will be:

"*" Coded as  -

"#" Coded as ×

Logic: (2nd number - 1st number) × 3rd number = Given number.

For,

2 * 7 # 1 

⇒ (7 - 2) × 1

 5 × 1 = 5.

For,

71 * 100 # 2 

 (100 - 71) × 2

 29 × 2 = 58.

Similarly,

3 * 6 # A = 30

 (6 - 3) × A = 30

 3 × A = 30

A = 30/3 = 10.

Hence, the correct answer is "Option (2)".

If 132 F 624 = 657 and 84 F 321 = 504, then 168 F 27 = ?

  1. 591
  2. 203
  3. 195
  4. 793

Answer (Detailed Solution Below)

Option 1 : 591

Coded Logic Question 13 Detailed Solution

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The logic followed here is:

  • 132 F 624 = 657 → 132 + 624 = 756
    • 756 when written from right to left, gives the number 657
  • 84 F 321 = 504 → 84 + 321 = 405
    • 405 when written from right to left, gives the number 504

Similarly,

  • 168 F 27 = ? → 168 + 27 = 195
    • ​195 when written from right to left, gives the number 591

Hence, '591' is the correct answer.

If 5 # 9 @ 7 = 52 and 3 @ 9 # 2 = – 89, then7 # 6 @ 9 = ?

  1. 67
  2. 56
  3. 45
  4. 28

Answer (Detailed Solution Below)

Option 1 : 67

Coded Logic Question 14 Detailed Solution

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59 – 7 = 52

3 – 92 = -89

76 – 9 = 67

Hence, 67 is the correct answer.

If 8 % 8 = 7744, 6 % 4 = 2904, then find the value of 7 % 3?

  1. 2365
  2. 2541
  3. 2654
  4. 2255

Answer (Detailed Solution Below)

Option 2 : 2541

Coded Logic Question 15 Detailed Solution

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The pattern followed here is:

8 % 8 = 7744 → 88 × 88 = 7744

6 % 4 = 2904 → 66 × 44 = 2904

7 % 3 = 2541 → 77 × 33 = 2541

Hence, ‘2541’ is the correct alternative.
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