Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct?
7 and 9
Option 1: 8 × 3 ÷ 6 + 9 – 7 = 2
Option 2: 7 + 6 – 9 × 4 ÷ 2 = 2
Option 3: 9 + 4 × 3 – 7 ÷ 1 = 10
Option 4: 9 × 3 + 4 ÷ 2 – 7 = 14
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Correct Answer: 7 + 6 – 9 × 4 ÷ 2 = 2
Solution :
Given:
7 and 9
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
8 × 3 ÷ 6 + 9 – 7 = 2
⇒ 8 × 3 ÷ 6 + 7 – 9
= 4 + 7 – 9
= 2
Second option:
7 + 6 – 9 × 4 ÷ 2 = 2
⇒ 9 + 6 – 7 × 4 ÷ 2
= 15 – 14
= 1 ≠ 2
Third option:
9 + 4 × 3 – 7 ÷ 1 = 10
⇒ 7 + 4 × 3 – 9 ÷ 1
= 7 + 12 – 9
= 10
Fourth option:
9 × 3 + 4 ÷ 2 – 7 = 14
⇒ 7 × 3 + 4 ÷ 2 – 9
= 21 + 2 – 9
= 14
So, only the second option satisfies the L.H.S. ≠ R.H.S. of the given equation. Hence, the second option is correct.
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