Question : Directions: On interchanging the given two numbers, which of the following equations will be correct?
1 and 6
I. 7 – 5 + 1 × 3 ÷ 6 = 20
II. 1 × 7 + 6 – 4 ÷ 2 = 40
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Only I
Solution :
Given:
I. 7 – 5 + 1 × 3 ÷ 6 = 20
II. 1 × 7 + 6 – 4 ÷ 2 = 40
I. 7 – 5 + 1 × 3 ÷ 6 = 20
On interchanging the numbers in the first equation, we get –
7 – 5 + 6 × 3 ÷ 1 = 20
On solving the L.H.S. of the equation –
= 7 – 5 + 6 × 3
= 7 – 5 + 18
= 20
II. 1 × 7 + 6 – 4 ÷ 2 = 40
On interchanging the numbers in the second equation, we get –
6 × 7 + 1 – 4 ÷ 2 = 40
On solving the L.H.S. of the equation –
= 6 × 7 + 1 – 2
= 42 + 1 – 2
= 41 ≠ 40
So, only the first equation is correct. Hence, the first option is correct.
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