Question : Directions: By interchanging the given two signs which of the following equations will be correct? ÷ and +
Option 1: 18 ÷ 24 – 6 × 6 + 3 = 32
Option 2: 12 – 8 + 12 × 9 ÷ 3 = 10
Option 3: 12 ÷ 8 × 3 + 6 – 10 = 8
Option 4: 7 + 21 × 42 ÷ 14 – 9 = 19
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Correct Answer: 7 + 21 × 42 ÷ 14 – 9 = 19
Solution : Given: ÷ and +
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: 18 ÷ 24 – 6 × 6 + 3 = 32 = 18 + 24 – 6 × 6 ÷ 3 = 32 = 42 – 12 = 30 ≠ 32 Second option: 12 – 8 + 12 × 9 ÷ 3 = 10 = 12 – 8 ÷ 12 × 9 + 3 = 10 = 12 – 6 + 3 = 9 ≠ 10 Third option: 12 ÷ 8 × 3 + 6 – 10 = 8 = 12 + 8 × 3 ÷ 6 – 10 = 8 = 12 + 4 – 10 = 6 ≠ 8 Fourth option: 7 + 21 × 42 ÷ 14 – 9 = 19 = 7 ÷ 21 × 42 + 14 – 9 = 19 = 14 + 14 – 9 = 19 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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