Question : Directions: By interchanging the given two signs which of the following equations will be not correct?
+ and ÷
I. 9 ÷ 6 × 4 + 2 – 5 = 16
II. 5 – 28 + 7 × 16 ÷ 4 = –103
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Only II
Solution :
Given:
I. 9 ÷ 6 × 4 + 2 – 5 = 16
II. 5 – 28 + 7 × 16 ÷ 4 = –103
After interchanging the mathematical signs, the equation becomes –
Equation I:
9 + 6 × 4 ÷ 2 – 5 = 16
= 9 + 6 × 2 – 5
= 9 + 12 – 5
= 16
Equation II:
5 – 28 ÷ 7 × 16 + 4 = –103
= 5 – 4 × 16 + 4
= 5 – 64 + 4
= – 55 ≠ –103
So, the second equation is not correct. Hence, the fourth option is correct.
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