Question : Directions: By Interchanging the given two numbers which of the following equations will be correct?
5 and 4
I. 4 + 8 × 5 – 7 ÷ 1 = 30
II. 5 × 3 – 4 + 6 ÷ 2 = 11
Option 1: Both I and II
Option 2: Neither I nor II
Option 3: Only II
Option 4: Only I
Correct Answer: Only I
Solution :
Given:
I. 4 + 8 × 5 – 7 ÷ 1 = 30
II. 5 × 3 – 4 + 6 ÷ 2 = 11
Interchanging the numbers 5 and 4.
Equation I:
4 + 8 × 5 – 7 ÷ 1 = 30
⇒ 5 + 8 × 4 – 7 ÷ 1 = 30
= 5 + 8 × 4 – 7
= 5 + 32 – 7
= 37 – 7
= 30 = R.H.S.
Equation II:
5 × 3 – 4 + 6 ÷ 2 = 11
⇒ 4 × 3 – 5 + 6 ÷ 2 = 11
= 4 × 3 – 5 + 3
= 12 – 5 + 3
= 10 ≠ 11
So, only equation I satisfies the R.H.S. Hence, the fourth option is correct.
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