Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
40 – 220 ÷ 2 × 2 + 20 = 200
Option 1: 20 and 40; + and –
Option 2: 2 and 20; ÷ and +
Option 3: 220 and 40; + and ×
Option 4: 220 and 20; ÷ and ×
Correct Answer: 20 and 40; + and –
Solution :
Given:
40 – 220 ÷ 2 × 2 + 20 = 200
Replace the given signs and numbers in the options one by one with the original signs and numbers in the given equation.
First option:
20 and 40, + and –
⇒ 20 + 220 ÷ 2 × 2 – 40 = 200
= 20 + 220 – 40
= 200
Second option:
2 and 20, ÷ and +
⇒ 40 – 220 ÷ 20 × 20 + 2 = 200
= 40 – 11 × 20 + 2
= 40 – 220 + 2
= – 178 ≠ 200
Third option:
220 and 40, + and ×
⇒ 220 – 40 ÷ 2 + 2 × 20 = 200
= 220 – 20 + 40
= 240 ≠200
Fourth option:
220 and 20, ÷ and ×
⇒ 40 – 20 × 2 ÷ 2 + 220 = 200
= 40 – 20 + 220
= 240 ≠ 200
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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