Question : Directions: Which two numbers and two signs should be interchanged in the following equation to make it correct? 3 – 17 + 3 + 16 × 8 = 60
Option 1: 17 and 8, – and ×
Option 2: 3 and 17, – and ×
Option 3: 3 and 16, – and ×
Option 4: 17 and 16, – and ×
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Correct Answer: 17 and 16, – and ×
Solution : Given: 3 – 17 + 3 + 16 × 8 = 60
Let's check the options – First option: 17 and 8, – and × 3 × 8 + 3 + 16 – 17 = 60 On solving the L.H.S. of the equation – = 3 × 8 + 3 + 16 – 17 = 24 + 3 + 16 – 17 = 43 – 17 = 26 ≠ 60 Second option: 3 and 17, – and × 17 × 3 + 17 + 16 – 8 = 60 On solving the L.H.S. of the equation – = 17 × 3 + 17 + 16 – 8 = 51 + 17 + 16 – 8 = 84 – 8 = 76 ≠ 60 Third option: 3 and 16, – and × 16 × 17 + 16 + 3 – 8 = 60 On solving the L.H.S. of the equation – = 16 × 17 + 16 + 3 – 8 = 272 + 16 + 3 – 8 = 291 – 8 = 283 ≠ 60 Fourth option: 17 and 16, – and × 3 × 16 + 3 + 17 – 8 = 60 On solving the L.H.S. of the equation – = 3 × 16 + 3 + 17 – 8 = 48 + 3 + 17 – 8 = 68 – 8 = 60
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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