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

Last updated on Jul 18, 2025

Latest Logical Puzzle MCQ Objective Questions

Logical Puzzle Question 1:

 If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then the resultant of which of the following would be 77?

  1. 42 D 6 A 38 B 18 C 6
  2. 42 A 6 D 38 C 18 B 6
  3.  42 C 6 B 38 A 18 D 6
  4. 42 B 6 C 38 D 18 A 6

Answer (Detailed Solution Below)

Option 2 : 42 A 6 D 38 C 18 B 6

Logical Puzzle Question 1 Detailed Solution

Decoding the given information:

Alphabet A B C D
Meaning ÷ × +

BODMAS Rule:

Checking each option:

Option 1: 42 D 6 A 38 B 18 C 6

⇒ 42 − 6 ÷ 38 × 18 + 6

⇒ 42 − 6 ÷ 38 × 18 + 6

⇒ 42 − 0.1578... × 18 + 6 (This will not result in an integer, so it's not 77)

Option 2: 42 A 6 D 38 C 18 B 6

⇒ 42 ÷ 6 − 38 + 18 × 6

42 ÷ 6 − 38 + 18 × 6

⇒ 7 − 38 + 18 × 6

⇒ 7 − 38 + 108

−31 + 108

77

Option 3: 42 C 6 B 38 A 18 D 6

⇒ 42 + 6 × 38 ÷ 18 − 6

⇒ 42 + 6 × 38 ÷ 18 − 6

⇒ 42 + 6 × 2.111... − 6 (This will not result in an integer, so it's not 77)

Option 4: 42 B 6 C 38 D 18 A 6

⇒ 42 × 6 + 38 − 18 ÷ 6

42 × 6 + 38 − 18 ÷ 6

⇒ 252 + 38 − 18 ÷ 6

⇒ 252 + 38 − 3

290 − 3

287

Hence, the correct option is "Option 2".

Logical Puzzle Question 2:

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged, and ‘×’ and ‘÷’ are interchanged?
87 × 3 ÷ 4 + 12 – 30 = ?

  1. 145
  2. 122
  3. 134
  4. 144

Answer (Detailed Solution Below)

Option 3 : 134

Logical Puzzle Question 2 Detailed Solution

Given interchange rules:

  • ‘+’ and ‘−’ are interchanged.
  • ‘×’ and ‘÷’ are interchanged.

The given equation is:

87 × 3 ÷ 4 + 12 − 30 = ?

Replace the operators with their corresponding new meanings:

87 ÷ 3 × 4 − 12 + 30 = ?

Now, we solve the equation following the BODMAS/PEMDAS rule (Brackets, Orders, Division/Multiplication from left to right, Addition/Subtraction from left to right):

= 87 ÷ 3 × 4 − 12 + 30

= 29 × 4 − 12 + 30

= 116 − 12 + 30 = 134

Therefore, the calculated value for the question mark (?) is 134.

Hence, the correct answer is "Option 3".

Logical Puzzle Question 3:

What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
173 ÷ 3 − 135 × 5 + 17 = ?

  1. 528
  2. 527
  3. 529
  4. 530

Answer (Detailed Solution Below)

Option 3 : 529

Logical Puzzle Question 3 Detailed Solution

Given interchange rules:

  • ‘+’ and ‘−’ are interchanged.
  • ‘×’ and ‘÷’ are interchanged.

The given equation is:

173 ÷ 3 − 135 × 5 + 17 = ?

Replace the operators with their corresponding new meanings:

173 × 3 + 135 ÷ 5 − 17 = ?

Now, we solve the equation following the BODMAS/PEMDAS rule (Brackets, Orders, Division/Multiplication from left to right, Addition/Subtraction from left to right):

= 173 × 3 + 135 ÷ 5 − 17

= 519 + 27 − 17

= 546 − 17

= 529

Therefore, the value of the question mark (?) is 529.

Hence, the correct answer is "Option 3".

Logical Puzzle Question 4:

If '−' means '÷', '÷' means '×', '×' means '+' and '+' means '−', then what will come in place of the question mark (?) in the following equation?
3 ÷ 45 × 855 − 19 + 16 = ?

  1. 164
  2. 136
  3. 460
  4. 180

Answer (Detailed Solution Below)

Option 1 : 164

Logical Puzzle Question 4 Detailed Solution

Given: 3 ÷ 45 × 855 − 19 + 16 = ?

Decoding the given information:

Symbol - ÷ × +
Means ÷ × + -

 

Now replacing the sign from left to right using BODMAS Rule, we get:

⇒ 3 × 45 + 855 ÷ 19 − 16 = ?

⇒ 3 × 45 + 855 ÷ 19 − 16 = ?

3 × 45 + 45 − 16 = ?

135 + 45 − 16 = ?

180 − 16 = 164

Hence, the correct answer is "Option 1".

Logical Puzzle Question 5:

What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
51 ÷ 12 + 162 × 3 − 104 =?

  1.  672
  2. 652
  3. 662
  4. 642

Answer (Detailed Solution Below)

Option 3 : 662

Logical Puzzle Question 5 Detailed Solution

BODMAS Table: 

Given equation: 51 ÷ 12 + 162 × 3 − 104 = ?

Now, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged, the equation becomes:

⇒ 51 × 12 − 162 ÷ 3 + 104 = ?

Following the BODMAS rule:

⇒ 51 × 12 − 162 ÷ 3 + 104 = ?

51 × 12 − 54 + 104 = ?

612 − 54 + 104 = ?

558 + 104662

Hence, the correct answer is "Option 3".

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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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: 

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.

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 11 Detailed Solution

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The logic followed is:

Decoding the information, 

Symbol

+

-

 × 

÷

Meaning

 ÷

-

×

 

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".

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 12 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. 

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:

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".

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

STABLE : AEQRZJ :: TARGET : AERPER :: VISUAL : ?

  1. IUATQJ
  2. UATWJQ
  3. HATQUI
  4. TAUIQJ

Answer (Detailed Solution Below)

Option 1 : IUATQJ

Logical Puzzle Question 15 Detailed Solution

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The logic is followed here is:

1) Vowels are shifted at first 

2) Consonants are shifted  -2 and arranged after vowel.

STABLE : AEQRZJ 

And,

TARGET : AERPER 

Similarly,

VISUAL : ? 

Hence the correct answer is "IUATQJ".

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