Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 2 and 8
Option 1: 8 ÷ 1 + 4 × 2 – 3 = 18
Option 2: 7 × 2 + 6 ÷ 3 – 8 = 60
Option 3: 2 × 4 – 8 + 6 ÷ 3 = 33
Option 4: 8 × 4 + 6 – 2 ÷ 1 = 6
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Correct Answer: 8 × 4 + 6 – 2 ÷ 1 = 6
Solution : Given: 2 and 8
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 8 ÷ 1 + 4 × 2 – 3 = 18 ⇒ 2 ÷ 1 + 4 × 8 – 3 = 2 + 32 – 3 = 31 ≠ 18 Second option: 7 × 2 + 6 ÷ 3 – 8 = 60 ⇒ 7 × 8 + 6 ÷ 3 – 2 = 56 + 2 – 2 = 56 ≠ 60 Third option: 2 × 4 – 8 + 6 ÷ 3 = 33 ⇒ 8 × 4 – 2 + 6 ÷ 3 = 32 – 2 + 2 = 32 ≠ 33 Fourth option: 8 × 4 + 6 – 2 ÷ 1 = 6 ⇒ 2 × 4 + 6 – 8 ÷ 1 = 8 + 6 – 8 = 6
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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