Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct? 14 + 63 ÷ 7 – 21 × 35 = 140
Option 1: + and –
Option 2: + and ×
Option 3: – and ×
Option 4: ÷ and ×
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Correct Answer: + and ×
Solution : Given: 14 + 63 ÷ 7 – 21 × 35 = 140
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 – = 14 – 63 ÷ 7 + 21 × 35 = 14 – 9 + 21 × 35 = 14 – 9 + 735 = 740 ≠ 140 Second option: + and × Solving the L.H.S. of the equation – = 14 × 63 ÷ 7 – 21 + 35 = 14 × 9 – 21 + 35 = 126 + 14 = 140 = R.H.S. Third option: – and × Solving the L.H.S. of the equation – = 14 + 63 ÷ 7 × 21 – 35 = 14 + 9 × 21 – 35 = 14 + 189 – 35 = 168 ≠ 140 Fourth option: ÷ and × Solving the L.H.S. of the equation – = 14 + 63 × 7 – 21 ÷ 35 = 14 + 63 × 7 – 0.6 = 14 + 441 – 0.6 = 454.4 ≠ 140
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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