Question : Directions: Which of the following interchange of signs would make the given equation correct? 5 + 3 × 8 – 12 ÷ 4 = 3
Option 1: – and ÷
Option 2: + and ×
Option 3: + and ÷
Option 4: + and –
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Correct Answer: – and ÷
Solution : Given: 5 + 3 × 8 – 12 ÷ 4 = 3
Replace the given signs in the options one by one with those in the given equation. First option: – and ÷ = 5 + 3 × 8 ÷ 12 – 4 = 5 + 2 – 4 = 7 – 4 = 3 Second option: + and × = 5 × 3 + 8 – 12 ÷ 4 = 5 × 3 + 8 – 3 = 15 + 8 – 3 = 23 – 3 = 20 ≠ 3 Third option: + and ÷ = 5 ÷ 3 × 8 – 12 + 4 = 1.67 × 8 – 12 + 4 = 13.36 – 12 + 4 = 5.36 ≠ 3 Fourth option: + and – = 5 – 3 × 8 + 12 ÷ 4 = 5 – 3 × 8 + 3 = 5 – 24 + 3 = –16 ≠ 3
Here, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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