Question : Directions: Which of the following interchange of signs would make the given equation correct? 52 + 36 ÷ 9 × 3 – 1 = 210
Option 1: – and +
Option 2: × and +
Option 3: ÷ and ×
Option 4: ÷ and –
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Correct Answer: × and +
Solution : Given: 52 + 36 ÷ 9 × 3 – 1 = 210
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 – = 52 – 36 ÷ 9 × 3 + 1 = 52 – 12 + 1 = 41 ≠ 210 Second option: × and + Solving the L.H.S. of the equation – = 52 × 36 ÷ 9 + 3 – 1 = 208 + 3 – 1 = 210 = R.H.S. Third option: ÷ and × Solving the L.H.S. of the equation – = 52 + 36 × 9 ÷ 3 – 1 = 52 + 108 – 1 = 159 ≠ 210 Fourth option: ÷ and – Solving the L.H.S. of the equation – = 52 + 36 – 9 × 3 ÷ 1 = 52 + 36 – 27 = 61 ≠ 210
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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