Question : Directions: After interchanging which two signs will the value of the given expression be 37?
27 + 3 ÷ 81 × 93 – 57
Option 1: + and ÷
Option 2: – and +
Option 3: × and +
Option 4: ÷ and –
Correct Answer: × and +
Solution :
Given:
27 + 3 ÷ 81 × 93 – 57
Replace the given symbols in the options one by one with the original symbols in the given equation.
First options:
+ and ÷
27 + 3 ÷ 81 × 93 – 57
On interchanging the mathematical signs, we get –
= 27 ÷ 3 + 81 × 93 – 57
= 9 + 81 × 93 – 57
= 9 + 7533 – 57
= 7485 ≠ 37
Second option:
– and +
27 + 3 ÷ 81 × 93 – 57
On interchanging the mathematical signs, we get –
= 27 – 3 ÷ 81 × 93 + 57
= 27 – 0.037 × 93 + 57
= 27 – 3.441 + 57
= 80.559 ≠ 37
Third option:
× and +
27 + 3 ÷ 81 × 93 – 57
On interchanging the mathematical signs, we get –
= 27 × 3 ÷ 81 + 93 – 57
= 1 + 93 – 57
= 37
Fourth option:
÷ and –
27 + 3 ÷ 81 × 93 – 57
On interchanging the mathematical signs, we get –
= 27 + 3 – 81 × 93 ÷ 57
= 27 + 3 – 81 × 1.63
= 27 + 3 – 132.03
= –102.03 ≠ 37
So, the third option satisfies the equation. Hence, the third option is correct.
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