Question : Directions: Which two signs should be interchanged to make the given equation correct?
16 + 4 ÷ 2 × 12 − 4 = 40
Option 1: + and ×
Option 2: + and −
Option 3: ÷ and ×
Option 4: ÷ and +
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Correct Answer: + and ×
Solution :
Given:
16 + 4 ÷ 2 × 12 − 4 = 40
Replace the given signs in the question one by one with the original signs in the given equation.
First option:
+ and ×
⇒ 16 × 4 ÷ 2 + 12 − 4 = 40
= 32 + 8
= 40
Second option:
+ and −
⇒ 16 − 4 ÷ 2 × 12 + 4 = 40
= 16 − 24 + 4
= −4 ≠ 40
Third option:
÷ and ×
⇒ 16 + 4 × 2 ÷ 12 − 4 = 40
= 16 + 0.67 − 4
= 12.67 ≠ 40
Fourth option:
÷ and +
⇒ 16 ÷ 4 + 2 × 12 − 4 = 40
= 4 + 24 − 4
= 24 ≠ 40
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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