Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 7 and 9
Option 1: 8 × 3 ÷ 6 + 9 – 7 = 2
Option 2: 7 + 6 – 9 × 4 ÷ 2 = 2
Option 3: 9 + 4 × 3 – 7 ÷ 1 = 10
Option 4: 9 × 3 + 4 ÷ 2 – 7 = 14
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Correct Answer: 7 + 6 – 9 × 4 ÷ 2 = 2
Solution : Given: 7 and 9
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 8 × 3 ÷ 6 + 9 – 7 = 2 ⇒ 8 × 3 ÷ 6 + 7 – 9 = 4 + 7 – 9 = 2 Second option: 7 + 6 – 9 × 4 ÷ 2 = 2 ⇒ 9 + 6 – 7 × 4 ÷ 2 = 15 – 14 = 1 ≠ 2 Third option: 9 + 4 × 3 – 7 ÷ 1 = 10 ⇒ 7 + 4 × 3 – 9 ÷ 1 = 7 + 12 – 9 = 10 Fourth option: 9 × 3 + 4 ÷ 2 – 7 = 14 ⇒ 7 × 3 + 4 ÷ 2 – 9 = 21 + 2 – 9 = 14
So, only the second option satisfies the L.H.S. ≠ R.H.S. of the given equation. Hence, the second option is correct.
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