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

Decoding the given information:

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".

Decoding signs:

Given: 5 × 39 ÷ 1407 − 3 + 11562 = ?

5 × 39 ÷ 1407 − 3 + 11562 = ? ⇒ 5 + 39 × 1407 ÷ 3 - 11562 = ?

⇒ 5 + 39 × 1407 ÷ 3 - 11562 = ?

⇒ 5 + 39 × 469 - 11562 = ?

⇒ 5 + 18291 - 11562 = ?

⇒ 18296 - 11562 = ?

⇒ 6734 = ?

Hence, "Option 1" is the correct answer.

Given: 36 ÷ 15 − 175 × 5 + 11 = ?

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

36 ÷ 15 − 175 × 5 + 11 = ? ⇒ 36 × 15 + 175 ÷ 5 − 11 = ?

⇒ 36 × 15 + 175 ÷ 5 − 11 = ?

⇒ 36 × 15 + 35 − 11 = ?

⇒ 540 + 35 − 11 = ?

⇒ 575 − 11 = ?

⇒ 564 = ?

Hence, "Option 4" is the correct answer.

Given equation: 43 + 15 ÷ 2 – 12 × 4 = ?

According to the question, after '+' and '−' are interchanged and '×' and '÷' are interchanged:

43 + 15 ÷ 2 – 12 × 4 = ? ⇒ 43 – 15 × 2 + 12 ÷ 4 = ?

⇒ 43 – 15 × 2 + 12 ÷ 4 = ?

⇒ 43 – 15 × 2 + 3 = ?

⇒ 43 + 3 – 30 = ?

⇒ 46 – 30 = ?

⇒ 16 = ?

Hence, "Option 4" is the correct answer.

Given equation: 8 ÷ 7 + 56 × 14 − 2 = ?

According to the question, after '+' and '−' are interchanged and '×' and '÷' are interchanged:

8 ÷ 7 + 56 × 14 − 2 = ? ⇒ 8 × 7 − 56 ÷ 14 + 2 = ?

⇒ 8 × 7 − 56 ÷ 14 + 2 = ?

⇒ 8 × 7 − 4 + 2 = ?

⇒ 56 + 2 − 4 = ?

⇒ 58 − 4 = ?

⇒ 54 = ?

Hence, "Option 1" is the correct answer.

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 - 4 × 9

⇒ 7 + 3 - 36

⇒ 10 - 36

⇒ -26

II. 4 + 3 – 9 × 8 ÷ 2

⇒ 4 + 3 - 9 × 4

⇒ 4 + 3 - 36

⇒ 7 - 36

⇒ -29

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

146 –  2 + 3 × 123 × 5 + 2

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.

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".

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.

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.

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

The logic followed is:

Decoding the information, 

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".

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.

BODMAS:

Given: 

12 - 3 = 36

21 + 3 = 7

17 × 2 = 19

15 ÷ 3 = 12 

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".

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".