Logical Puzzle MCQ Quiz - Objective Question with Answer for Logical Puzzle - Download Free PDF

Last updated on Jul 11, 2025

Latest Logical Puzzle MCQ Objective Questions

Logical Puzzle Question 1:

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−’
 are interchanged and ‘×’ and ‘÷’ are interchanged?
52 ÷ 15 − 189 × 9 + 117 = ?

  1. 688
  2. 672
  3. 678
  4. 684

Answer (Detailed Solution Below)

Option 4 : 684

Logical Puzzle Question 1 Detailed Solution

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BODMAS Table: 

qImage14137

Given equation: 52 ÷ 15 − 189 × 9 + 117 = ?

Now, if ‘+’ and ‘−’ and ‘×' and ‘÷’ are interchanged, then:

⇒ 52 × 15 + 189 ÷ 9 117 = ?

⇒ 52 × 15 + 189 ÷ 9 − 117 = ?

⇒ 780 + 21 − 117 = ?

⇒ 801 − 117 = 684

Hence, the correct answer is "Option 4".

Logical Puzzle Question 2:

 If ‘A’ stands for ‘×’, ‘B’ stands for ‘−’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘÷’, then the
 resultant of which of the following will be 9?

  1. 8 A 3 C 10 B 2 D 5
  2.  8 B 3 A 10 C 2 D 5
  3. 8 C 3 B 10 A 2 D 5
  4. 8 B 3 C 10 A 2 D 5

Answer (Detailed Solution Below)

Option 4 : 8 B 3 C 10 A 2 D 5

Logical Puzzle Question 2 Detailed Solution

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Given:

‘A’ stands for ‘×’

‘B’ stands for ‘−’

‘C’ stands for ‘+’

‘D’ stands for ‘÷’

We need to find which of the following e×pressions results in 9.

1) 8 A 3 C 10 B 2 D 5

Replacing the letters with their respective mathematical operations:

8 × 3 + 10 − 2 ÷ 5

Applying the order of operations (PEMDAS/BODMAS):

= 8 × 3 + 10 − 0.4

= 24 + 10 − 0.4

= 34 − 0.4

= 33.6 ≠ 9 (Incorrect)

2) 8 B 3 A 10 C 2 D 5

Replacing the letters with their respective mathematical operations:

8 − 3 × 10 + 2 ÷ 5

Applying the order of operations (PEMDAS/BODMAS):

= 8 − 3 × 10 + 0.4

= 8 − 30 + 0.4

= −22 + 0.4

= −21.6 ≠ 9 (Incorrect)

3) 8 C 3 B 10 A 2 D 5

Replacing the letters with their respective mathematical operations:

8 + 3 − 10 × 2 ÷ 5

Applying the order of operations (PEMDAS/BODMAS):

= 8 + 3 − (10 × 2) ÷ 5

= 8 + 3 − 20 ÷ 5

= 8 + 3 − 4

= 11 − 4

= 7 ≠ 9 (Incorrect)

4) 8 B 3 C 10 A 2 D 5

Replacing the letters with their respective mathematical operations:

8 − 3 + 10 × 2 ÷ 5

Applying the order of operations (PEMDAS/BODMAS):

= 8 − 3 + (10 × 2) ÷ 5

= 8 − 3 + 20 ÷ 5

= 8 − 3 + 4

= 5 + 4

= 9 (Correct)

Hence, the correct answer is "Option 4".

Logical Puzzle Question 3:

 If '−' means '÷', '÷' means '×', '×' means '+' and '+' means '−', then what will come in place of the question mark (?) in the following equation?
 1568 − 16 + 4 ÷ 5 × 22 = ?

  1. 294
  2. 100
  3. 492
  4. 113

Answer (Detailed Solution Below)

Option 2 : 100

Logical Puzzle Question 3 Detailed Solution

Given: 1568 − 16 + 4 ÷ 5 × 22 = ?

Decoding the given information:

Symbol ÷ × +
Means ÷ × +

 

Now replacing the sign in the equation, we get:

1568 ÷ 16 − 4 × 5 + 22

= 98 − 4 × 5 + 22

98 − 20 + 22

= 78 + 22 = 100

Hence, the correct answer is "Option 2".

Logical Puzzle Question 4:

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−‘ are interchanged and ‘×’ and ‘÷’ are interchanged?
66 ÷ 8 − 231 × 11 + 14 = ?

  1. 525
  2. 545
  3. 515
  4. 535

Answer (Detailed Solution Below)

Option 4 : 535

Logical Puzzle Question 4 Detailed Solution

BODMAS

Given: 66 ÷ 8 − 231 × 11 + 14 = ?

According to the question, after ‘+’ and ‘–’ are interchanged, and ‘×’ and ‘÷’ are interchanged:

66 ÷ 8 − 231 × 11 + 14 = ? ⇒ 66 × 8 + 231 ÷ 11 14 = ?

⇒ 66 × 8 + 231 ÷ 11  14 = ?

⇒ 66 × 8 + 21  14 = ?

528 + 21  14 = ?

549  14 = ?

⇒ 535 = ?

Hence, "Option 4" is the correct answer.

Logical Puzzle Question 5:

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged, and ‘×’ and ‘÷’ are interchanged?
56 – 12 × 4 ÷ 9 + 5 = ?

  1. 90
  2. 78
  3. 55
  4. 54

Answer (Detailed Solution Below)

Option 2 : 78

Logical Puzzle Question 5 Detailed Solution

BODMAS

Given: 56 – 12 × 4 ÷ 9 + 5 = ?

According to the question, after ‘+’ and ‘–’ are interchanged, and ‘×’ and ‘÷’ are interchanged:

56 – 12 × 4 ÷ 9 + 5 = ? ⇒ 56 + 12 ÷ 4 × 9 5 = ?

⇒ 56 + 12 ÷ 4 × 9  5 = ?

⇒ 56 + 3 × 9  5 = ?

⇒ 56 + 27  5 = ?

83  5 = ?

⇒ 78 = ?

Hence, "Option 2" is the correct answer.

Top Logical Puzzle MCQ Objective Questions

After interchanging the given two numbers and two signs what will be the values of equation (I) and (II) respectively? 

× and +, 3 and 9

I. 7 × 9 – 8 ÷ 2 + 3

II. 4 × 9 – 3 + 8 ÷ 2

  1. 0, 1
  2. –26, –29
  3. 6, 0
  4. 12, 13

Answer (Detailed Solution Below)

Option 2 : –26, –29

Logical Puzzle Question 6 Detailed Solution

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BODMAS

According to the question, after interchanging the given two signs and two numbers i.e :

  • × and +
  • Two numbers 3 and 9

So,

I. 7 + 3 – 8 ÷ 2 × 9

⇒ 7 + 3 - × 9

⇒ 7 + 3 - 36

10 - 36

⇒ -26

II. 4 + 3 – 9 × 8 ÷ 2

⇒ 4 + 3 - 9 × 4

4 + 3 - 36

7 - 36

⇒ -29

Here, values of equation (I) and (II)  are (-26) and (-29) respectively.

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

If + means ×, × means -, ÷ means +, &  -  means ÷, then,

146 -  2 + 3 × 123 × 5 + 2 = ?

  1. 132
  2. 128
  3. 116
  4. 86

Answer (Detailed Solution Below)

Option 4 : 86

Logical Puzzle Question 7 Detailed Solution

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For this question, We have to check the given equation as-

146 –  2 + 3 × 123 × 5 + 2

Symbol Means
+ ×
×  
÷ +
  ÷

New equation after replacing symbols-

146 ÷ 2 × 3 – 123 - 5 × 2

According to the BODMAS rule-

⇒ 73 × 3 –  123 – 5 × 2

⇒ 219 –  123 –  10

⇒ 86

Hence, Option (4) is correct.

By interchanging the two numbers 20 and 36, which of the following equations will be correct?

I. 55 + 42 – 36 × 20 ÷ 9 = 17

II. 20 ÷ 2 × 36 + 81 – 41 = 400

  1. Only I 
  2. Only II
  3. Both I and II
  4. Neither I nor II 

Answer (Detailed Solution Below)

Option 3 : Both I and II

Logical Puzzle Question 8 Detailed Solution

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BODMAS Table: 

qImage14137

Given equation I: 55 + 42 – 36 × 20 ÷ 9 = 17

Now, if '20 and 36' are interchanged, then:

⇒ 55 + 42 – 20 × 36 ÷ 9 = 17

⇒ 55 + 42 – 20 × 4 = 17

⇒ 55 + 42 – 80 = 17

97 – 80 = 17

17 = 17.

LHS = RHS.

Given equation II: 20 ÷ 2 × 36 + 81 – 41 = 400

Now, if '20 and 36' are interchanged, then:

36 ÷ 2 × 20 + 81 – 41 = 400

18 × 20 + 81 – 41 = 400

⇒ 360 + 81 – 41 = 400

⇒ 441 – 41 = 400

400 = 400

LHS = RHS.

Here, Both I and II are correct equation after interchanging the given symbol.

Hence, the correct answer is "Option 3".

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

Logical Puzzle Question 9 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

Logical Puzzle Question 10 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.

Which of the two signs should be interchanged in order to make the following equation correct?

21 + 5 × 2 – 21 ÷ 3 = 12

  1. + and - 
  2. – and ÷
  3. – and ×
  4. × and ÷

Answer (Detailed Solution Below)

Option 3 : – and ×

Logical Puzzle Question 11 Detailed Solution

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Given Equation: 21 + 5 × 2 – 21 ÷ 3 = 12

1) + and -

After interchanging signs

LHS = 21 - 5 × 2 + 21 ÷ 3 = 21 – 10 + 7 = 18 ≠ RHS

2) – and ÷

After interchanging signs

LHS = 21 + 5 × 2 ÷ 21 – 3 = 21 + 0.476 – 3 = 18. 476 ≠ RHS

3) – and ×

After interchanging signs

LHS = 21 + 5 - 2 × 21 ÷ 3 = 21 + 5 – 14 = 12 = RHS

4) × and ÷

After interchanging signs

LHS = 21 + 5 ÷ 2 – 21 × 3 = 21 + 2.5 – 63 = - 39.5 ≠ RHS

Hence, “– and ×” is the correct answer. 

If '+' means 'division', '-' means 'addition', '×' means 'subtraction' and '÷' means 'multiplication', what will be the value of the following expression?

[{(48 × 20) - (2 ÷ 4)} + (2 - 4)] ÷ 2 

  1. 10
  2. 12
  3. 6
  4. 8

Answer (Detailed Solution Below)

Option 2 : 12

Logical Puzzle Question 12 Detailed Solution

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The logic followed is:

Decoding the information, 

Symbol

+

-

 × 

÷

Meaning

 ÷

-

×

 

610aa320dbf9432058f9be90 16299863500581

Given the equation: [{(48 × 20) - (2 ÷ 4)} + (2 - 4)] ÷ 2 = ?

After replacing the signs from left to right and using the BODMAS rule,

= [{(48 - 20) + (2 × 4)} ÷ (2 + 4)] × 2 

= [{(28) + (8)} ÷ (6)] × 2

= [{36} ÷ (6)] × 2

= [6] × 2

= 12

Hence, the correct answer is "12".

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

175 ∶ 210 ∶∶ 310 ∶ 372 ∶∶ 295 ∶ ?

  1. 362
  2. 354
  3. 348
  4. 340

Answer (Detailed Solution Below)

Option 2 : 354

Logical Puzzle Question 13 Detailed Solution

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The logic followed here is:

Logic: (First number ÷ 5) × 6 = Second number

  • 175 ∶ 210 → (175 ÷ 5) × 6 = 35 × 6 = 210
  • 310 ∶ 372 → (310 ÷ 5) × 6 = 62 × 6 = 372

Similarly,

  • 295 ∶ ? → (295 ÷ 5) × 6 = 59 × 6 = 354

Hence, '354' is the correct answer.

If the value of '12 - 3' is equal to 36, the value of '21 + 3' is equal to 7, the value of '17 × 2' is equal to 19 and the value of '15 ÷ 3' is equal to 12, then Find the value of the following code.

144 ÷ 315 + 35 × 16 - 17= ?

  1. 165
  2. 534
  3. 407
  4. 385

Answer (Detailed Solution Below)

Option 3 : 407

Logical Puzzle Question 14 Detailed Solution

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BODMAS:

BODMAS

Given: 

12 - 3 = 36

21 + 3 = 7

17 × 2 = 19

15 ÷ 3 = 12 

Symbol + - ÷  × 
Meaning ÷  × - +

Given equation: 144 ÷ 315 + 35 × 16 - 17

After change the sign, equation is:

⇒ 144 - 315 ÷ 35 + 16 × 17

⇒ 144 - 9 + 16 × 17

144 - 9 + 272

⇒ 416 - 9

⇒ 407

Hence, the correct answer is "407".

In an imaginary mathematical system, symbol '–' stands for addition, symbol '+' stands for division, symbol '×' stands for subtraction, and symbol '÷' stands for multiplication. All other rules of mathematics are the same as in the existing system. What is the value of the following expression?

240 × 72 + 8 ÷ 24 – 6

  1. 30
  2. 36
  3. 26
  4. 19

Answer (Detailed Solution Below)

Option 1 : 30

Logical Puzzle Question 15 Detailed Solution

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BODMAS rule:

boadmas

Decoding the information, 

Symbol

Meaning

-

Addition (+)

+

Division (÷)

×

Subtraction (-)

÷

Multiplication (×)

 Given:

240 × 72 + 8 ÷ 24 – 6

After replacing the signs from left to right and using the BODMAS rule,

240 - 72 ÷ 8 × 24 + 6

= 240 - 9 × 24 + 6

= 240 - 216 + 6

= 246 - 216

= 30

Hence, “30” is the correct answer.
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