Question : Directions: By interchanging the given two signs which of the following equations will be correct? × and –
Option 1: 7 × 9 – 8 ÷ 2 + 6 = 25
Option 2: 8 × 6 – 9 ÷ 3 + 10 = 0
Option 3: 16 – 4 ÷ 2 + 8 × 1 = 36
Option 4: 5 + 7 × 3 – 4 ÷ 2 = 8
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Correct Answer: 8 × 6 – 9 ÷ 3 + 10 = 0
Solution : Given: × and –
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: 7 × 9 – 8 ÷ 2 + 6 = 25 = 7 – 9 × 8 ÷ 2 + 6 = 7 – 36 + 6 = –23 ≠ 25 Second option: 8 × 6 – 9 ÷ 3 + 10 = 0 = 8 – 6 × 9 ÷ 3 + 10 = 8 – 18 + 10 = 0 Third option: 16 – 4 ÷ 2 + 8 × 1 = 36 = 16 × 4 ÷ 2 + 8 – 1 = 32 + 8 – 1 = 39 ≠ 36 Fourth option: 5 + 7 × 3 – 4 ÷ 2 = 8 = 5 + 7 – 3 × 4 ÷ 2 = 8 = 12 – 6 = 6 ≠ 8
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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