Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively?
– and ×, 6 and 4
I. 7 × 6 + 8 ÷ 2 - 4
II. 4 – 7 × 6 + 8 ÷ 2
Option 1: 27, 42
Option 2: 27, 47
Option 3: 27, 49
Option 4: 25, 40
Correct Answer: 27, 42
Solution :
Given:
I. 7 × 6 + 8 ÷ 2 – 4
II. 4 – 7 × 6 + 8 ÷ 2
Let's solve 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 + 8 ÷ 2 × 6
= 7 – 4 + 4 × 6
= 7 – 4 + 24
= 27
On interchanging the signs and numbers in the second equation, we get –
= 6 × 7 – 4 + 8 ÷ 2
= 6 × 7 – 4 + 4
= 42 – 4 + 4
= 42
So, 27 and 42 are the required answers to the given equations. Hence, the first option is correct.
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