Question : Directions: In the following question, correct the equation by interchanging two signs.
43 + 9 – 6 ÷ 3 × 8 = 50
Option 1: ÷ and ×
Option 2: + and ÷
Option 3: – and +
Option 4: – and ×
Correct Answer: – and +
Solution :
Given:
43 + 9 – 6 ÷ 3 × 8 = 50
Replace the given signs in the options one by one with those in the given equation.
First option:
÷ and ×
= 43 + 9 – 6 × 3 ÷ 8
= 43 + 9 – 6 × 0.375
= 43 + 9 – 2.25
= 49.75 ≠ 50
Second option:
+ and ÷
= 43 ÷ 9 – 6 + 3 × 8
= 4.78 – 6 + 3 × 8
= 4.78 – 6 + 24
= 22.78 ≠ 50
Third option:
– and +
= 43 – 9 + 6 ÷ 3 × 8
= 43 – 9 + 2 × 8
= 43 – 9 + 16
= 50
Fourth option:
– and ×
= 43 + 9 × 6 ÷ 3 – 8
= 43 + 9 × 2 – 8
= 43 + 18 – 8
= 53 ≠ 50
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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