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

BODMAS table

Given equation: If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–’

Option 1) 109 B 6 D 16 A 2 C 6

Putting the sign in equation

⇒109 x 6 - 16 ÷ 2 + 6 

⇒109 x 6 - 8 + 6 

⇒654 - 8 + 6

⇒660 - 8

⇒652

Option2) 109 A 6 D 16 B 2 C 6

⇒109 ÷ 6 - 16 x 2 + 6

⇒18.16 - 16 x 2 + 6

⇒18.16 - 32 + 6

⇒24.16 - 32

⇒-7.84

Option3) 109 B 6 A 16 D 2 C 6

⇒109 x 6 ÷ 16 - 2 + 6

⇒109 x 0.375 - 2 + 6

⇒40.875 - 2  + 6

⇒46.875 - 2

⇒44.875

Option 4) 109 C 6 D 16 A 2 B 6

⇒109 + 6 - 16 ÷ 2 x 6

⇒109 + 6 - 8 x 6

⇒109 + 6 - 48

⇒115 - 48

⇒67

Hence the correct answer is "Option 1".

Symbols are coded as:-

Given that: 100 - 10 × 1000 ÷ 1000 +100 × 10 = ?

After replacing the symbols with their meanings, we get:-

= 100 × 10 - 1000 + 1000 ÷ 100 - 10

= 100 × 10 - 1000 + 10 - 10 

= 1000 - 1000 + 10 - 10 

= 1010 - 1010

= 0

Hence, " option 2" is the correct answer.

BODMAS table

Given : 96 * 3 * 5 * 56 * 16 * 120

Option 1. ÷, × , -, +, = by substituting these values by BODMAS rule

• 96 ÷ 3 × 5 - 56 +16 = 120
• 32 × 5 - 56 +16 = 120
• 160 - 56 +16 = 120
• 176 - 56 = 120
• 120 = 120 (LHS = RHS )

Option 2.× , ÷, +, -, =by substituting these values by BODMAS rule

• 96 × 3 ÷ 5 + 56 -16 = 120
• 96 × 0.6 + 56 -16 = 120
• 57.6 + 56 - 16 = 120
• 113.6 ≠ 120 (LHS ≠ RHS )

Option 3.÷, × , +, -, =by subsituting these values by BODMAS rule

• 96 ÷ 3 × 5 + 56 -16 = 120
• 32 × 5 + 56 - 16 = 120
• 160 + 56 -16 = 120
• 216 - 16 = 120
• 200 ≠ 120( LHS ≠ RHS )

Option 4. -, +, ÷, × , =by subsituting these values by BODMAS rule

• 96 - 3 + 5 ÷ 56 × 16 = 120
• 96 - 3 + 0.08 × 16 = 120
• 96 - 3 + 1.28 = 120
• 97.28 - 3 = 120
• 94.28 ≠ 120 ( LHS ≠ RHS )

Hence, " ÷, × , -, +, =" is the correct answer.

Using BODMAS rule as follows:

Decoding the given information:

Option 1: 5 ÷ 8 - 3.3 = 36

New equation after replacing symbols

⇒ 5 + 8 × 3 - 3 

⇒ 5 + 24 - 3

⇒ 26 ≠ 36   (False)

Option 2: 9 + 3 - 1 ÷ 9 = 10

New equation after replacing symbols

⇒ 9 ÷  3 ×  1 + 9 

⇒ 3 × 1 + 9

⇒  12 ≠ 10   (False)

Option 3: 15.2 - 3 + 3 = 39

New equation after replacing symbols

⇒ 15 - 2 ×  3 ÷  3 

⇒ 15 - 2 × 1

⇒ 15 - 2

⇒ 13 ≠ 39   (False)

Option 4: 9 - 7 ÷ 7 + 7 = 64

New equation after replacing symbols

⇒ 9 × 7 + 7 ÷ 7

⇒ 9 × 7 + 1

⇒ 64 = 64 (Correct)

Hence the correct answer is "Option 4".

Decoding signs:

Given: 49@64#75$25%36 

49@64#75$25%36 ⇒ 49 + 64 – 75 ÷ 25 × 36

⇒ 49 + 64 – 75 ÷ 25 × 36

⇒ 49 + 64 – 3 × 36

⇒ 49 + 64 – 108

⇒ 113 – 108

⇒ 5

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

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

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 rule:

Decoding the information, 

 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

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".