Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct?
4 and 2
Option 1: 4 × 3 – 8 ÷ 2 + 7 = 11
Option 2: 8 ÷ 4 × 2 – 6 + 9 = 18
Option 3: 4 – 8 × 3 + 2 ÷ 1 = –18
Option 4: 6 × 4 – 8 ÷ 2 + 7 = 17
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Correct Answer: 8 ÷ 4 × 2 – 6 + 9 = 18
Solution :
Given:
4 and 2
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
4 × 3 – 8 ÷ 2 + 7 = 11
⇒ 2 × 3 – 8 ÷ 4 + 7
= 6 – 2 + 7
= 11
Second option:
8 ÷ 4 × 2 – 6 + 9 = 18
⇒ 8 ÷ 2 × 4 – 6 + 9
= 4 – 8 + 9
= 5 ≠ 18
Third option:
4 – 8 × 3 + 2 ÷ 1 = –18
⇒ 2 – 8 × 3 + 4 ÷ 1
= 2 – 24 + 4
= –18
Fourth option:
6 × 4 – 8 ÷ 2 + 7 = 17
⇒ 6 × 2 – 8 ÷ 4 + 7
= 12 – 2 + 7
= 17
So, only the second option satisfies the L.H.S. ≠ R.H.S. of the given equations. Hence, the second option is correct.
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