Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct?
9 and 6
Option 1: 7 + 6 × 4 ÷ 9 – 8 = 5
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 75
Option 3: 9 × 7 + 4 ÷ 1 – 6 = 38
Option 4: 7 × 6 ÷ 3 + 9 – 8 = 19
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Correct Answer: 9 × 7 + 4 ÷ 1 – 6 = 38
Solution :
Given:
9 and 6
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
7 + 6 × 4 ÷ 9 – 8 = 5
⇒ 7 + 9 × 4 ÷ 6 – 8
= 7 + 6 – 8
= 5
Second option:
6 × 8 – 9 ÷ 3 + 5 = 75
⇒ 9 × 8 – 6 ÷ 3 + 5
= 72 – 2 + 5
= 75
Third option:
9 × 7 + 4 ÷ 1 – 6 = 38
⇒ 6 × 7 + 4 ÷ 1 – 9
= 42 + 4 – 9
= 37 ≠ 38
Fourth option:
7 × 6 ÷ 3 + 9 – 8 = 19
⇒ 7 × 9 ÷ 3 + 6 – 8
= 21 + 6 – 8
= 19
So, only the third option satisfies the L.H.S. ≠ R.H.S. of the given equation. Hence, the third option is correct.
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