Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct? 72 ÷ 4 × 64 + 8 – 24 = 80
Option 1: ÷ and ×
Option 2: – and +
Option 3: ÷ and +
Option 4: – and ×
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Correct Answer: ÷ and +
Solution : Given: 72 ÷ 4 × 64 + 8 – 24 = 80
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: ÷ and × = 72 × 4 ÷ 64 + 8 – 24 = 72 × 0.0625 + 8 – 24 = 4.5 + 8 – 24 = –11.5 ≠ 80 Second option: – and + = 72 ÷ 4 × 64 – 8 + 24 = 18 × 64 – 8 + 24 = 1152 – 8 + 24 = 1168 ≠ 80 Third option: ÷ and + = 72 + 4 × 64 ÷ 8 – 24 = 72 + 4 × 8 – 24 = 72 + 32 – 24 = 80 = R.H.S. Fourth option: – and × = 72 ÷ 4 – 64 + 8 × 24 = 18 – 64 + 8 × 24 = 18 – 64 + 192 = 146 ≠ 80
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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