Question : Directions: Which two numbers and two signs should be interchanged in the following equation to make it correct? 18 – 6 + 11 × 5 + 18 = 113
Option 1: 6 and 5, + and ×
Option 2: 18 and 5, + and ×
Option 3: 6 and 5, – and ×
Option 4: 18 and 5, – and ×
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Correct Answer: 6 and 5, – and ×
Solution : Given: 18 – 6 + 11 × 5 + 18 = 113
Replace the symbols and numbers given in the equation with the assigned symbols and numbers in the options one by one – First option: 6 and 5, + and × ⇒ 18 – 5 × 11 + 6 × 18 = 113 Solving the L.H.S of the equation – = 18 – 5 × 11 + 6 × 18 = 18 – 55 + 108 = 71 ≠ 113 Second option: 18 and 5, + and × ⇒ 5 – 6 × 11 + 18 × 5 = 113 Solving the L.H.S of the equation – = 5 – 6 × 11 + 18 × 5 = 5 – 66 + 90 = 95 – 66 = 29 ≠ 113 Third option: 6 and 5, – and × ⇒ 18 × 5 + 11 – 6 + 18 = 113 Solving the L.H.S of the equation – = 18 × 5 + 11 – 6 + 18 = 90 + 11 – 6 + 18 = 119 – 6 = 113 Fourth option: 18 and 5, – and × ⇒ 5 × 6 + 11 – 18 + 5 = 113 Solving the L.H.S of the equation – = 5 × 6 + 11 – 18 + 5 = 30 + 11 – 18 + 5 = 46 – 18 = 28 ≠ 113
So, only the third option satisfies the equation. Hence, the third option is correct.
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Question : Direction: Correct the following equation by interchanging the two signs and two numbers.
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