Question : Directions: Which of the following interchanges in two mathematical operators will balance the equation given below? 75 ÷ 15 × 8 + 14 – 5 = 67
Option 1: ÷ and ×
Option 2: – and ÷
Option 3: – and ×
Option 4: + and –
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Correct Answer: – and ×
Solution : Given: 75 ÷ 15 × 8 + 14 – 5 = 67
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: ÷ and × ⇒ 75 × 15 ÷ 8 + 14 – 5 = 67 = 140.625 + 14 – 5 = 149.625 ≠ 67 Second option: – and ÷ ⇒ 75 – 15 × 8 + 14 ÷ 5 = 67 = 75 – 120 + 2.8 = 42.2 ≠ 67 Third option: – and × ⇒ 75 ÷ 15 – 8 + 14 × 5 = 67 = 5 – 8 + 70 = 67 Fourth option: + and – ⇒ 75 ÷ 15 × 8 – 14 + 5 = 67 = 40 – 9 = 31 ≠ 67
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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