Question : Direction: Which of the following interchange of signs would make the given equation correct?
2 × 3 + 6 – 12 ÷ 4 = 17
Option 1: × and +
Option 2: + and –
Option 3: + and ÷
Option 4: – and ÷
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Correct Answer: × and +
Solution : Given: 2 × 3 + 6 – 12 ÷ 4 = 17
Let's check the options —
First option: × and + On replacing → 2 + 3 × 6 – 12 ÷ 4 = 17 = 2 + 3 × 6 – 12 ÷ 4 = 2 + 3 × 6 – 3 = 2 + 18 – 3 = 20 – 3 = 17
Second option: + and – On replacing → 2 × 3 – 6 + 12 ÷ 4 = 17 = 2 × 3 – 6 + 12 ÷ 4 = 2 × 3 – 6 + 3 = 6 – 6 + 3 = 9 – 6 = 3 ≠ 17
Third option: + and ÷ On replacing → 2 × 3 ÷ 6 – 12 + 4 = 17 = 2 × 3 ÷ 6 – 12 + 4 = 2 × 0.5 – 12 + 4 = 1 – 12 + 4 = 5 – 12 = – 8 ≠ 17
Fourth option: – and ÷ On replacing → 2 × 3 + 6 ÷ 12 – 4 = 17 = 2 × 3 + 6 ÷ 12 – 4 = 2 × 3 + 0.5 – 4 = 6 + 0.5 – 4 = 6.5 – 4 = 2.5 ≠ 17
Hence, the first option is correct.
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