Question : Directions: Which of the following interchange of signs would make the given equation correct? 18 × 6 – 12 ÷ 4 + 2 = –43
Option 1: – and +
Option 2: × and ÷
Option 3: × and +
Option 4: × and –
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Correct Answer: × and ÷
Solution : Given: 18 × 6 – 12 ÷ 4 + 2 = –43
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: – and + Solving the L.H.S. of the equation – = 18 × 6 + 12 ÷ 4 – 2 = 18 × 6 + 3 – 2 = 108 + 3 – 2 = 109 ≠ –43 Second option: × and ÷ Solving the L.H.S. of the equation – = 18 ÷ 6 – 12 × 4 + 2 = 3 – 48 + 2 = –43 = R.H.S. Third option: × and + Solving the L.H.S. of the equation – = 18 + 6 – 12 ÷ 4 × 2 = 18 + 6 – 3 × 2 = 18 + 6 – 6 = 18 – 0 = 18 ≠ –43 Fourth option: × and – Solving the L.H.S. of the equation – = 18 – 6 × 12 ÷ 4 + 2 = 18 – 6 × 3 + 2 = 18 – 18 + 2 = 2 ≠ –43
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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