Question : Directions: By Interchanging which two signs the equation will be correct? 21 – 7 × 4 ÷ 10 + 2 = 4
Option 1: – and ×
Option 2: × and ÷
Option 3: – and ÷
Option 4: + and –
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Correct Answer: – and ÷
Solution : Given: 21 – 7 × 4 ÷ 10 + 2 = 4
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 – = 21 × 7 – 4 ÷ 10 + 2 = 147 – 0.4 + 2 = 148.6 ≠ 4 Second option: × and ÷ Solving the L.H.S. of the equation – = 21 – 7 ÷ 4 × 10 + 2 = 21 – 17.5 + 2 = 5.5 ≠ 4 Third option: – and ÷ Solving the L.H.S. of the equation – = 21 ÷ 7 × 4 – 10 + 2 = 12 – 10 + 2 = 4 = R.H.S. Fourth option: + and – Solving the L.H.S. of the equation – = 21 + 7 × 4 ÷ 10 – 2 = 21 + 2.8 – 2 = 21.8 ≠ 4
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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