Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 1 and 9
Option 1: 9 × 3 – 4 ÷ 2 + 1 = 10
Option 2: 1 + 9 × 3 – 4 ÷ 2 = 18
Option 3: 9 × 2 + 1 – 8 ÷ 4 = 12
Option 4: 9 – 1 + 6 ÷ 2 × 3 = 7
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Correct Answer: 9 × 3 – 4 ÷ 2 + 1 = 10
Solution : Given: Interchange 1 and 9
Interchanging 1 and 9 in each of the given options – First option: 9 × 3 – 4 ÷ 2 + 1 = 10 1 × 3 – 4 ÷ 2 + 9 = 1 × 3 – 2 + 9 = 3 – 2 + 9 = 3 + 7 = 10 = R.H.S. Second option: 1 + 9 × 3 – 4 ÷ 2 = 18 9 + 1 × 3 – 4 ÷ 2 = 9 + 1 × 3 – 2 = 9 + 3 – 2 = 12 – 2 = 10 ≠ 18 Third option: 9 × 2 + 1 – 8 ÷ 4 = 12 1 × 2 + 9 – 8 ÷ 4 = 1 × 2 + 9 – 2 = 2 + 9 – 2 = 11 – 2 = 9 ≠ 12 Fourth option: 9 – 1 + 6 ÷ 2 × 3 = 7 1 – 9 + 6 ÷ 2 × 3 = 1 – 9 + 3 × 3 = 1 – 9 + 9 = 1 – 0 = 1 ≠ 7
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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