Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and ÷
Option 1: 12 ÷ 8 × 12 + 6 – 7 = 21
Option 2: 9 – 3 + 12 × 8 ÷ 4 = 11
Option 3: 46 + 23 ÷ 14 × 5 – 6 = 66
Option 4: 6 + 20 ÷ 12 × 7 – 11 = 70
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Correct Answer: 6 + 20 ÷ 12 × 7 – 11 = 70
Solution : Given: Interchange the signs + and ÷
Replace the given signs in the options one by one with the original signs in the given equation. First option: 12 ÷ 8 × 12 + 6 – 7 = 21 ⇒ 12 + 8 × 12 ÷ 6 – 7 = 12 + 16 – 7 = 21 Second option: 9 – 3 + 12 × 8 ÷ 4 = 11 ⇒ 9 – 3 ÷ 12 × 8 + 4 = 9 – 2 + 4 = 11 Third option: 46 + 23 ÷ 14 × 5 – 6 = 66 ⇒ 46 ÷ 23 + 14 × 5 – 6 = 2 + 70 – 6 = 66 Fourth option: 6 + 20 ÷ 12 × 7 – 11 = 70 ⇒ 6 ÷ 20 + 12 × 7 – 11 = 0.3 + 84 – 11 = 73.3 ≠ 70
So, only the fourth option satisfies the L.H.S. ≠ R.H.S. of the given equation. Hence, the fourth option is correct.
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