Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct?
× and +, 7 and 4
I. 7 × 8 + 4 – 6 ÷ 3 = 57
II. 4 × 8 – 9 ÷ 3 + 7 = 3
Option 1: Only II
Option 2: Only I
Option 3: Neither I nor II
Option 4: Both I and II
Correct Answer: Only II
Solution :
Given:
× and +, 7 and 4
I. 7 × 8 + 4 – 6 ÷ 3 = 57
II. 4 × 8 – 9 ÷ 3 + 7 = 3
Replacing the given numbers and signs in the options one by one with the given equations.
I. 7 × 8 + 4 – 6 ÷ 3 = 57
⇒ 4 + 8 × 7 – 6 ÷ 3 = 57
⇒ 4 + 8 × 7 – 2 = 57
⇒ 4 + 56 – 2 = 57
⇒ 60 – 2 = 58 ≠ 57
II. 4 × 8 – 9 ÷ 3 + 7 = 3
7 + 8 – 9 ÷ 3 × 4 = 3
⇒ 7 + 8 – 3 × 4 = 3
⇒ 7 + 8 – 12 = 3
⇒ 7 – 4 = 3 = R.H.S
So, only equation II satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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