Question : Directions: By Interchanging the given two numbers which of the following equations will be correct?
7 and 4
I. 7 × 8 + 4 – 9 ÷ 3 = 30
II. 9 + 4 × 8 ÷ 2 – 7 = 33
Option 1: Neither I nor II
Option 2: Only II
Option 3: Both I and II
Option 4: Only I
Correct Answer: Only II
Solution :
Given:
7 and 4 are interchanged.
I. 7 × 8 + 4 – 9 ÷ 3 = 30
II. 9 + 4 × 8 ÷ 2 – 7 = 33
After interchanging the numbers as per the instructions the equation becomes –
Equation I:
4 × 8 + 7 – 9 ÷ 3 = 30
= 4 × 8 + 7 – 3
= 32 + 7 – 3
= 36 ≠ 30
Equation II:
9 + 7 × 8 ÷ 2 – 4 = 33
= 9 + 7 × 4 – 4
= 9 + 28 – 4
= 33 = R.H.S.
So, only the second equation satisfies the R.H.S. of the equation. Hence, the second option is correct.
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