Question : Directions: Which two numbers should be interchanged, to make the given equation correct?
7 × 3 – 98 ÷ 14 + 5 = 31
Option 1: 5 and 3
Option 2: 7 and 98
Option 3: 31 and 7
Option 4: 3 and 14
Correct Answer: 5 and 3
Solution :
Given:
7 × 3 – 98 ÷ 14 + 5 = 31
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
5 and 3
7 × 3 – 98 ÷ 14 + 5 = 31
⇒ 7 × 5 – 98 ÷ 14 + 3 = 31
⇒ 7 × 5 – 7 + 3 = 31
⇒ 35 – 7 + 3 = 31
⇒ 31 = 31
Second option:
7 and 98
7 × 3 – 98 ÷ 14 + 5 = 31
⇒ 98 × 3 – 7 ÷ 14 + 5 = 31
⇒ 294 – 0.5 + 5 = 31
⇒ 298.5
≠
31
Third option:
31 and 7
7 × 3 – 98 ÷ 14 + 5 = 31
⇒ 31 × 3 – 98 ÷ 14 + 5 = 7
⇒ 31 × 3 – 7 + 5 = 7
⇒ 91
≠
7
Fourth option:
3 and 14
7 × 3 – 98 ÷ 14 + 5 = 31
⇒ 7 × 14 – 98 ÷ 3 + 5 = 31
⇒ 98 – 32.6 + 5 = 31
⇒ 70.4
≠
31
So, only the first option satisfies the given equation. Hence, the first option i s correct.
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