Question : Directions: Which two signs should be interchanged to make the given equation correct? 117 ÷ 13 + 16 × 540 – 40 = 644
Option 1: ÷ and +
Option 2: + and ×
Option 3: – and +
Option 4: ÷ and –
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Correct Answer: + and ×
Solution : Given: 117 ÷ 13 + 16 × 540 – 40 = 644
Replace the given symbols in the options one by one with the original symbols in the given equation – First option: ÷ and + = 117 + 13 ÷ 16 × 540 – 40 = 117 + 0.812 × 540 – 40 = 117 + 438.48 – 40 = 555.48 – 40 = 515.48 ≠ 644 Second option: + and × = 117 ÷ 13 × 16 + 540 – 40 = 9 × 16 + 540 – 40 = 144 + 540 – 40 = 684 – 40 = 644 Third option: – and + = 117 ÷ 13 – 16 × 540 + 40 = 9 – 16 × 540 + 40 = 9 – 8640 + 40 = 49 – 8640 = –8591 ≠ 644 Fourth option: ÷ and – = 117 – 13 + 16 × 540 ÷ 40 = 117 – 13 + 16 × 13.5 = 117 – 13 + 216 = 333 – 13 = 320 ≠ 644
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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