Question : Directions: Which two signs should be interchanged, to make the given equation correct? 2 ÷ 9 × 18 + 7 – 4 = 1
Option 1: = and ×
Option 2: = and –
Option 3: – and +
Option 4: × and +
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Correct Answer: – and +
Solution : Given: 2 ÷ 9 × 18 + 7 – 4 = 1
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: = and × 2 ÷ 9 × 18 + 7 – 4 = 1 On interchanging the mathematical signs, we get – 2 ÷ 9 = 18 + 7 – 4 × 1 L.H.S. = 2 ÷ 9 = 0.22 R.H.S. = 18 + 7 – 4 × 1 = 18 + 7 – 4 = 18 + 7 – 4 = 0.22 ≠ 21 Second option: = and – 2 ÷ 9 × 18 + 7 – 4 = 1 On interchanging the mathematical signs, we get – 2 ÷ 9 × 18 + 7 = 4 – 1 L.H.S. = 2 ÷ 9 × 18 + 7 = 4 + 7 = 11 R.H.S. = 4 – 1 = 3 = 11 ≠ 3 Third option: – and + 2 ÷ 9 × 18 + 7 – 4 = 1 On interchanging the mathematical signs, we get – 2 ÷ 9 × 18 – 7 + 4 = 1 L.H.S. = 2 ÷ 9 × 18 – 7 + 4 = 4 – 7 + 4 = 1 Fourth option: × and + 2 ÷ 9 × 18 + 7 – 4 = 1 On interchanging the mathematical signs, we get – 2 ÷ 9 + 18 × 7 – 4 = 1 L.H.S. = 2 ÷ 9 + 18 × 7 – 4 = 0.22 + 18 × 7 – 4 = 0.22 + 126 – 4 = 122.22 = 122.22 ≠ 1
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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