Question : Directions: After interchanging two signs and two numbers, the value of the given equation will be 6. 7 – 2 × 1 ÷ 3 + 5
Option 1: × and ÷,7 and 5
Option 2: × and ÷, 2 and 7
Option 3: + and –, 7 and 5
Option 4: × and –, 5 and 3
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Correct Answer: × and ÷,7 and 5
Solution : Given: 7 – 2 × 1 ÷ 3 + 5 = 6
Replace the given symbols and numbers according to the options one by one with the original symbols and numbers in the given equation. First option: × and ÷, 7 and 5 Solving the L.H.S. of the equation – = 5 – 2 ÷ 1 × 3 + 7 = 5 – 6 + 7 = 6 = R.H.S. Second option: × and ÷, 2 and 7 Solving the L.H.S. of the equation – = 2 – 7 ÷ 1 × 3 + 5 = 2 – 21 + 5 = –14 ≠ 6 Third option: + and –, 7 and 5 Solving the L.H.S. of the equation – = 5 + 2 × 1 ÷ 3 – 7 = 5 + 2 × 0.33 – 7 = 5 + 0.66 – 7 = –1.34 ≠ 6 Fourth option: × and –, 5 and 3 Solving the L.H.S. of the equation – = 7 × 2 – 1 ÷ 5 + 3 = 14 – 0.2 + 3 = 16.8 ≠ 6
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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