Question : Directions: By Interchanging the given two numbers which of the following equations will be correct?
2 and 8
Option 1: 8 ÷ 1 + 4 × 2 – 3 = 18
Option 2: 7 × 2 + 6 ÷ 3 – 8 = 60
Option 3: 2 × 4 – 8 + 6 ÷ 3 = 33
Option 4: 8 × 4 + 6 – 2 ÷ 1 = 6
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Correct Answer: 8 × 4 + 6 – 2 ÷ 1 = 6
Solution :
Given:
2 and 8
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
8 ÷ 1 + 4 × 2 – 3 = 18
⇒ 2 ÷ 1 + 4 × 8 – 3
= 2 + 32 – 3
= 31 ≠ 18
Second option:
7 × 2 + 6 ÷ 3 – 8 = 60
⇒ 7 × 8 + 6 ÷ 3 – 2
= 56 + 2 – 2
= 56 ≠ 60
Third option:
2 × 4 – 8 + 6 ÷ 3 = 33
⇒ 8 × 4 – 2 + 6 ÷ 3
= 32 – 2 + 2
= 32 ≠ 33
Fourth option:
8 × 4 + 6 – 2 ÷ 1 = 6
⇒ 2 × 4 + 6 – 8 ÷ 1
= 8 + 6 – 8
= 6
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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