Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct?
7 and 4
Option 1: 8 ÷ 6 × 9 + 7 – 4 = 12
Option 2: 7 × 8 + 4 – 6 ÷ 3 = 37
Option 3: 9 – 4 × 3 + 6 × 7 ÷ 1 = 12
Option 4: 4 × 8 – 9 ÷ 3 + 7 = 57
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Correct Answer: 8 ÷ 6 × 9 + 7 – 4 = 12
Solution :
Given:
7 and 4
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
8 ÷ 6 × 9 + 7 – 4 = 12
⇒ 8 ÷ 6 × 9 + 4 – 7
= 12 + 4 – 7
= 9 ≠ 12
Second option:
7 × 8 + 4 – 6 ÷ 3 = 37
⇒ 4 × 8 + 7 – 6 ÷ 3
= 32 + 7 – 2
= 37
Third option:
9 – 4 × 3 + 6 × 7 ÷ 1 = 12
⇒ 9 – 7 × 3 + 6 × 4 ÷ 1
= 9 – 21 + 24
= 12
Fourth option:
4 × 8 – 9 ÷ 3 + 7 = 57
⇒ 7 × 8 – 9 ÷ 3 + 4
= 56 – 3 + 4
= 57
So, only the first option satisfies the L.H.S. ≠ R.H.S. of the given equation. Hence, the first option is correct.
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