Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? 18 + (12 x 6) + (63 ÷ 7) x 4 + (27) – 11 = 112
Option 1: 18 and 11
Option 2: 12 and 4
Option 3: 6 and 4
Option 4: 18 and 12
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Correct Answer: 6 and 4
Solution : Given: 18 + (12 x 6) + (63 ÷ 7) x 4 + (27)⅓ – 11 = 112 Interchange the numbers given in the options one by one with the original numbers in the given equation.
First option: 18 and 11 18 + (12 x 6) + (63 ÷ 7) x 4 + (27)⅓ – 11 = 112 ⇒ 11 + (12 x 6) + (63 ÷ 7) x 4 + (27)⅓ – 18 = 112 = 11 + 72 + 9 x 4 + 3 – 18 = 112 = 11 + 72 + 36 + 3 – 18 = 112 = 122 – 18 = 104 ≠ 112 Second option: 12 and 4 18 + (12 x 6) + (63 ÷ 7) x 4 + (27)⅓ – 11 = 112 ⇒ 18 + (4 x 6) + (63 ÷ 7) x 12 + (27)⅓ – 11 = 112 =18 + 24 + 9 x 12 + 3 – 11 = 112 =18 + 24 + 108 + 3 – 11 = 112 =153 – 11 = 142 ≠ 112 Third option: 6 and 4 18 + (12 x 6) + (63 ÷ 7) x 4 + (27)⅓ – 11 = 112 ⇒ 18 + (12 x 4) + (63 ÷ 7) x 6 + (27)⅓ – 11 = 112 =18 + 48 + 9 x 6 + 3 – 11 = 112 =18 + 48 + 54 + 3 – 11 = 112 =123 – 11 = 112 = R.H.S Fourth option: 18 and 12 18 + (12 x 6) + (63 ÷ 7) x 4 + (27)⅓ – 11 = 112 ⇒ 12 + (18 x 6) + (63 ÷ 7) x 4 + (27)⅓ – 11 = 112 = 12 + 108 + 9 x 4 + 3 – 11 = 112 = 12 + 108 + 36 + 3 – 11 = 112 = 159 – 11 = 148 ≠ 112
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? 62 – 20 + (28 ÷ 7) – [(√4) × 8 ] + 22 = 40
Option 1: 6 and 8
Option 2: 7 and 2
Option 3: 2 and 8
Option 4: 20 and 8
Question : Directions: Which two numbers from the given options should be interchanged to make the given equation correct? 54 – (3 × 12) ÷ (8)1/3 + (11 × 4) + 6 = 69
Option 1: 11 and 6
Option 2: 4 and 12
Option 4: 3 and 4
Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? 14 + 39 – (√(144) ÷ 4) + (5 × 3) – 6 = 63
Option 1: 14 and 6
Option 2: 5 and 39
Option 3: 4 and 3
Option 4: 4 and 6
Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? (6)³ ÷ 12 + [(√81) x 4] – (28 ÷ 2) + 24 = 43
Option 1: 12 and 24
Option 2: 6 and 24
Option 3: 81 and 4
Option 4: 28 and 24
Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? [(√256) ÷ 4]³ + (6)² – (12 x 8) + 66 + (36 ÷ 12) = 65
Option 2: 66 and 65
Option 3: 4 and 8
Option 4: 66 and 36
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