Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct? 4 ÷ 32 + 8 × 9 – 5 = 35
Option 1: × and –
Option 2: ÷ and +
Option 3: ÷ and ×
Option 4: × and +
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Correct Answer: ÷ and +
Solution : Given: 4 ÷ 32 + 8 × 9 – 5 = 35
After interchanging signs according to the given options. First option: × and – Solving the L.H.S. of the equation – 4 ÷ 32 + 8 – 9 × 5 = 35 0.125 + 8 – 45 –36.875 ≠ 35 Second option: ÷ and + Solving the L.H.S. of the equation – 4 + 32 ÷ 8 × 9 – 5 = 35 4 + 4 × 9 – 5 40 – 5 35 = 35 (L.H.S. = R.H.S.) Third option: ÷ and × Solving the L.H.S. of the equation 4 × 32 + 8 ÷ 9 – 5 = 35 4 × 32 + 0.88 – 5 123.88 ≠ 35 Fourth option: × and + Solving the L.H.S. of the equation – 4 ÷ 32 × 8 + 9 – 5 = 35 0.125 × 8 + 9 – 5 5 ≠ 35
So, only the second option satisfies the R.H.S. of the equation. Hence, the second option is correct.
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