Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? 108 ÷ 3 – 126 ÷ (5 × 3 + 12) + 4 = 11
Option 1: 11 and 12
Option 2: 12 and 3
Option 3: 12 and 4
Option 4: 126 and 108
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Correct Answer: 12 and 3
Solution : Given: 108 ÷ 3 – 126 ÷ (5 × 3 + 12) + 4 = 11
Interchange the numbers as given in the options. First option: 11 and 12 After interchanging the numbers the equation becomes – ⇒ 108 ÷ 3 – 126 ÷ (5 × 3 + 11) + 4 = 12 ⇒ 108 ÷ 3 – 126 ÷ (26) + 4 ⇒ 36 – 4.84 + 4 ⇒ 35.16 ≠ 12 Second option: 12 and 3 After interchanging the numbers the equation becomes – ⇒ 108 ÷ 12 – 126 ÷ (5 × 12 + 3) + 4 = 11 ⇒ 108 ÷ 12 – 126 ÷ (63) + 4 ⇒ 9 – 2 + 4 = 11 ⇒ 11 = 11 (L.H.S. = R.H.S.) Third option: 12 and 4 After interchanging the numbers the equation becomes – ⇒ 108 ÷ 3 – 126 ÷ (5 × 3 + 4) + 12 = 11 ⇒ 108 ÷ 3 – 126 ÷ (19) + 12 ⇒ 36 – 6.63 + 12 ⇒ 41.37 ≠ 11 Fourth option: 126 and 108 After interchanging the numbers the equation becomes – ⇒ 126 ÷ 3 – 108 ÷ (5 × 3 + 12) + 4 = 11 ⇒ 126 ÷ 3 – 108 ÷ (27) + 4 ⇒ 42 – 4 + 4 ⇒ 34 ≠ 11
So, only the second option satisfies the R.H.S. of the equation. Hence, the second option is correct.
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Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct? (35 – 2) × 3 = (56 × 8 ÷ 3 + 100) × 11
Option 1: ÷ and +
Option 2: × and ÷
Option 3: + and –
Option 4: × and –
Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct? (35 ÷ 7 × 50) ÷ 11 × 1 + 3 = 8
Option 1: + and –
Option 2: ÷ and +
Option 3: × and ÷
Option 4: + and ×
Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? (134 – 13) ÷ 27 × 3 – 6 = 11
Option 1: 6 and 13
Option 2: 3 and 6
Option 3: 27 and 11
Option 4: 11 and 13
Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? (357 ÷ 2 + 3) ÷ 11 – 4 = (28 × 3 + 7) ÷ 9
Option 1: 11 and 28
Option 2: 2 and 3
Option 3: 7 and 9
Option 4: 2 and 9
Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct? 272 ÷ 17 – 196 ÷ (5 × 3 + 1) = 30
Option 1: × and –
Option 2: × and +
Option 3: + and ÷
Option 4: + and –
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