Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 3 and 8
Option 1: 7 + 3 – 4 ÷ 2 × 8 = 9
Option 2: 6 ÷ 2 × 8 + 3 – 1 = 17
Option 3: 8 – 3 + 6 × 2 ÷ 4 = -2
Option 4: 2 + 3 – 6 ÷ 2 × 8 = 1
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Correct Answer: 6 ÷ 2 × 8 + 3 – 1 = 17
Solution : Given: 3 and 8
Replace the given numbers in the options with the original ones in the equation. First option: 7 + 3 – 4 ÷ 2 × 8 = 9 ⇒ 7 + 8 – 4 ÷ 2 × 3 = 9 ⇒ 7 + 8 – 2 × 3 = 9 ⇒ 7 + 8 – 6 = 9 ⇒ 15 – 6 ⇒ 9 = R.H.S Second option: 6 ÷ 2 × 8 + 3 – 1 = 17 ⇒ 6 ÷ 2 × 3 + 8 – 1 = 17 ⇒ 3 × 3 + 8 – 1 = 17 ⇒ 9 + 8 – 1 = 17 ⇒ 17 – 1 ⇒ 16 ≠ 17 Third option: 8 – 3 + 6 × 2 ÷ 4 = – 2 ⇒ 3 – 8 + 6 × 2 ÷ 4 = – 2 ⇒ 3 – 8 + 6 × 0.5 = – 2 ⇒ 3 – 8 + 3 = – 2 ⇒ 3 – 5 ⇒ – 2 = R.H.S Fourth option: 2 + 3 – 6 ÷ 2 × 8 = 1 ⇒ 2 + 8 – 6 ÷ 2 × 3 = 1 ⇒ 2 + 8 – 3 × 3 ⇒ 2 + 8 – 9 ⇒ 10 – 9 ⇒ 1 = R.H.S
Therefore, only the second option does not satisfy the R.H.S. of the given equation. Hence, the second option is correct.
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