Question : Directions: Which of the following interchanges of signs would make the given equation correct? 110 ÷ 20 + 5 × 13 – 9 = 153
Option 1: × and +
Option 2: ÷ and +
Option 3: – and ×
Option 4: + and –
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Correct Answer: ÷ and +
Solution : Given: 110 ÷ 20 + 5 × 13 – 9
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and × = 110 ÷ 20 × 5 + 13 – 9 = 5.5 × 5 + 13 – 9 = 27.5 + 4 = 31.5 ≠ 153 Second option: ÷ and + = 110 + 20 ÷ 5 × 13 – 9 = 110 + 4 × 13 – 9 = 110 + 52 – 9 = 153 Third option: – and × = 110 ÷ 20 + 5 – 13 × 9 = 5.5 + 5 – 117 = –106.5 ≠ 153 Fourth option: + and – = 110 ÷ 20 – 5 × 13 + 9 = 5.5 – 65 + 9 = 14.5 – 65 = –50.5 ≠ 153
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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