Question : Directions: Which two signs should be interchanged to make the given equation correct? 171 ÷ 3 – 16 + 72 × 412 = 572
Option 1: × and –
Option 2: ÷ and –
Option 3: + and ÷
Option 4: – and +
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Correct Answer: × and –
Solution : Given: 171 ÷ 3 – 16 + 72 × 412 = 572
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: × and – = 171 ÷ 3 × 16 + 72 – 412 = 57 × 16 + 72 – 412 = 912 + 72 – 412 = 984 – 412 = 572 Second option: ÷ and – = 171 – 3 ÷ 16 + 72 × 412 = 171 – 0.1875 + 72 × 412 = 171 – 0.1875 + 29664 = 29835 – 0.1875 = 29834.8125 ≠ 572 Third option: + and ÷ = 171 + 3 – 16 ÷ 72 × 412 = 171 + 3 – 0.22 × 412 = 171 + 3 – 90.64 = 174 – 90.64 = 83.36 ≠ 572 Fourth option: – and + = 171 ÷ 3 + 16 – 72 × 412 = 57 + 16 – 72 × 412 = 57 + 16 – 29664 = 73 – 29664 = –29591 ≠ 572
Here, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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