Question : Directions: By interchanging the given two signs which of the following equations will be correct? + and –
Option 1: 7 – 5 × 3 + 24 ÷ 6 = 7
Option 2: 20 ÷ 4 – 5 × 6 + 3 = 32
Option 3: 4 + 5 × 2 – 9 ÷ 3 = 5
Option 4: 7 × 3 – 10 + 8 ÷ 2 = 29
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Correct Answer: 20 ÷ 4 – 5 × 6 + 3 = 32
Solution : Given: + and –
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: 7 – 5 × 3 + 24 ÷ 6 = 7 ⇒ 7 + 5 × 3 – 24 ÷ 6 = 7 = 7 + 15 – 4 = 18 ≠ 7 Second option: 20 ÷ 4 – 5 × 6 + 3 = 32 ⇒ 20 ÷ 4 + 5 × 6 – 3 = 32 = 5 + 30 – 3 = 32 Third option: 4 + 5 × 2 – 9 ÷ 3 = 5 ⇒ 4 – 5 × 2 + 9 ÷ 3 = 5 = 4 – 10 + 3 = –3 ≠ 5 Fourth option: 7 × 3 – 10 + 8 ÷ 2 = 29 ⇒ 7 × 3 + 10 – 8 ÷ 2 = 29 = 21 + 10 – 4 = 27 ≠ 29
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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