Question : Directions: Which two signs should be interchanged to make the given equation correct? 17 × 4 + 6 ÷ 2 – 27 = 92
Option 1: + and ×
Option 2: ÷ and ×
Option 3: + and –
Option 4: × and –
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Correct Answer: + and –
Solution : Given: 17 × 4 + 6 ÷ 2 – 27 = 92
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and × = 17 + 4 × 6 ÷ 2 – 27 = 17 + 4 × 3 – 27 = 17 + 12 – 27 = 29 – 27 = 2 ≠ 92 Second option: ÷ and × = 17 ÷ 4 + 6 × 2 – 27 = 4.25 + 6 × 2 – 27 = 4.25 + 12 – 27 = 16.25 – 27 = –10.75 ≠ 92 Third option: + and – = 17 × 4 – 6 ÷ 2 + 27 = 17 × 4 – 3 + 27 = 68 – 3 + 27 = 95 – 3 = 92 Fourth option: × and – = 17 – 4 + 6 ÷ 2 × 27 = 17 – 4 + 3 × 27 = 17 – 4 + 81 = 98 – 4 = 94 ≠ 92
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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