Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct?
× and ÷, 2 and 6
I. 7 – 4 × 3 ÷ 6 + 2 = 8
II. 6 – 8 × 2 + 9 ÷ 3 = 5
Option 1: Only II
Option 2: Neither I nor II
Option 3: Only I
Option 4: Both I and II
Correct Answer: Both I and II
Solution :
Given:
I. 7 – 4 × 3 ÷ 6 + 2 = 8
II. 6 – 8 × 2 + 9 ÷ 3 = 5
Let's check each equation after interchanging signs and numbers according to the instructions.
On interchanging the signs and numbers in the first equation, we get –
⇒ 7 – 4 ÷ 3 × 2 + 6 = 8
Solving the L.H.S. of the equation –
= 7 – 4 ÷ 3 × 2 + 6
= 7 – 1.33 × 2 + 6
= 7 – 2.67 + 6
= 10.33 ≠ 6
On interchanging the signs and numbers in the second equation, we get –
⇒ 2 – 8 ÷ 6 + 9 × 3 = 5
Solving the L.H.S. of the equation –
= 2 – 8 ÷ 6 + 9 × 3
= 2 – 1.33 + 9 × 3
= 2 – 1.33 + 27
= 27.67 ≠ 5
So, both the equations are not correct after interchanging the signs and numbers. Hence, the fourth option is correct.
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