Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct?
× and –, 8 and 4
I. 4 + 3 × 8 – 2 ÷ 1 = 3
II. 8 × 2 – 4 + 6 ÷ 2 = 11
Option 1: Both I and II
Option 2: Only II
Option 3: Neither I nor II
Option 4: Only I
Correct Answer: Only II
Solution :
Given:
I. 4 + 3 × 8 – 2 ÷ 1 = 3
II. 8 × 2 – 4 + 6 ÷ 2 = 11
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 –
⇒ 8 + 3 – 4 × 2 ÷ 1 = 3
Solving the L.H.S. of the equation –
= 8 + 3 – 4 × 2
= 8 + 3 – 8
= 11 – 8
= 3
On interchanging the signs and numbers in the second equation, we get –
⇒ 4 – 2 × 8 + 6 ÷ 2 = 11
Solving the L.H.S. of the equation –
= 4 – 2 × 8 + 3
= 4 – 16 + 3
= 7 – 16
= –9 ≠ 11
So, the second equation is not correct after interchanging the signs and numbers. Hence, the second option is correct.
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