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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