Question : Directions: Which of the following interchange of numbers and mathematical signs would make the given equation correct? 30 ÷ 6 × 4 + 15 − 35 = 25
Option 1: 25 and 30; × and –
Option 2: 4 and 6; + and –
Option 3: 25 and 35; × and ÷
Option 4: 30 and 35; – and ÷
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Correct Answer: 25 and 35; × and ÷
Solution : Given: 30 ÷ 6 × 4 + 15 − 35 = 25
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.
Let's check each option – First option: 25 and 30; × and – = 25 ÷ 6 × 4 + 15 − 35 = 30 = 16.67 + 15 − 35 = 30 = −3.34 ≠ 30 Second option: 4 and 6; + and – = 30 ÷ 4 × 6 − 15 + 35 = 25 = 45 − 15 + 35 = 65 ≠ 25 Third option: 25 and 35; × and ÷ = 30 × 6 ÷ 4 + 15 − 25 = 35 = 45 + 15 − 25 = 35 (L.H.S. = R.H.S.) Fourth option: 30 and 35; – and ÷ = 35 ÷ 6 × 4 + 15 − 30 = 25 = 23.34 + 15 − 30 = 8.34 ≠ 25
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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