Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct? 6 ÷ 48 + 12 × 9 – 7 = 35
Option 1: ÷ and +
Option 2: ÷ and ×
Option 3: × and –
Option 4: × and +
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Correct Answer: ÷ and +
Solution : Given: 6 ÷ 48 + 12 × 9 – 7 = 35
Let's check the options – First option: ÷ and + 6 + 48 ÷ 12 × 9 – 7 = 35 L.H.S. = 6 + 48 ÷ 12 × 9 – 7 = 6 + 4 × 9 – 7 = 6 + 36 – 7 = 35 = R.H.S. Second option: ÷ and × 6 × 48 + 12 ÷ 9 – 7 = 35 L.H.S. = 6 × 48 + 12 ÷ 9 – 7 = 6 × 48 + 1.33 – 7 = 288 + 1.33 – 7 = 282.33 ≠ 35 Third option: × and – 6 ÷ 48 + 12 – 9 × 7 = 35 L.H.S. = 6 ÷ 48 + 12 – 9 × 7 = 0.125 + 12 – 9 × 7 = 0.125 + 12 – 63 = – 50.875 ≠ 35 Fourth option: × and + 6 ÷ 48 × 12 + 9 – 7 = 35 L.H.S. = 6 ÷ 48 × 12 + 9 – 7 = 0.125 × 12 + 9 – 7 = 1.5 + 9 – 7 = 3.5 ≠ 35 So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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