Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct? 272 ÷ 17 – 196 ÷ (5 × 3 + 1) = 30
Option 1: × and –
Option 2: × and +
Option 3: + and ÷
Option 4: + and –
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Correct Answer: + and –
Solution : Given: 272 ÷ 17 – 196 ÷ (5 × 3 + 1) = 30
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: × and – Solving the L.H.S. of the equation – = 272 ÷ 17 × 196 ÷ (5 – 3 + 1) = 16 × 196 ÷ 3 = 16 × 65.34 = 1045.34 ≠ 30 Second option: × and + Solving the L.H.S. of the equation – = 272 ÷ 17 – 196 ÷ (5 + 3 × 1) = 16 – 196 ÷ 8 = –8.5 ≠ 30 Third option: + and ÷ Solving the L.H.S. of the equation – = 272 + 17 – 196 + (5 × 3 ÷ 1) = 289 – 181 = 108 ≠ 30 Fourth option: + and – Solving the L.H.S. of the equation – = 272 ÷ 17 + 196 ÷ (5 × 3 – 1) = 16 + 14 = 30 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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