Question : Directions: By interchanging the given two signs which of the following equations will be correct?
+ and ÷
I. 4 ÷ 2 + 1 – 8 × 3 = –10
II. 18 ÷ 2 – 8 + 4 × 3 = 14
Option 1: Only II
Option 2: Only I
Option 3: Neither I nor II
Option 4: Both I and II
Correct Answer: Only II
Solution :
Given:
+ and ÷ are interchanged –
I. 4 ÷ 2 + 1 – 8 × 3 = –10
II. 18 ÷ 2 – 8 + 4 × 3 = 14
For equation I –
After interchanging the given symbols, we get –
⇒ 4 + 2 ÷ 1 – 8 × 3
⇒ 4 + 2 – 8 × 3
⇒ 4 + 2 – 24
⇒ –18 ≠ –10
For equation II –
After interchanging the given symbols, we get –
⇒ 18 + 2 – 8 ÷ 4 × 3
⇒ 18 + 2 – 2 × 3
⇒ 18 + 2 – 6
⇒ 14 = 14
So, only equation II gives the required answer. Hence, the first option is correct.
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