Question : Directions: Which two mathematical signs should be interchanged to make the given equation correct?
15 × 3 ÷ 15 – (45 × 3) – 10 + (13 ÷ 2) = 76
Option 1: ÷ and ×
Option 2: × and +
Option 3: × and –
Option 4: ÷ and +
Correct Answer: ÷ and ×
Solution :
Given:
15 × 3 ÷ 15 – (45 × 3) – 10 + (13 ÷ 2) = 76
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and ×
= 15 ÷ 3 × 15 – (45 ÷ 3) – 10 + (13 × 2)
= 75 – 15 – 10 + 26
= 76
Second option:
× and +
= 15 + 3 ÷ 15 – (45 + 3) – 10 × (13 ÷ 2)
= 15 + 0.2 – 48 – 65
= –97.8 ≠ 76
Third option:
× and –
= 15 – 3 ÷ 15 × (45 – 3) × 10 + (13 ÷ 2)
= 15 – 0.2 × 42 × 10 + 6.5
= 15 – 84 + 6.5
= –62.5 ≠ 76
Fourth option:
÷ and +
= 15 × 3 + 15 – (45 × 3) – 10 ÷ (13 + 2)
= 45 + 15 – 135 – 10 ÷ 15
= 60 – 135 – 0.67
= –75.67 ≠ 76
Here, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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