Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively?
× and ÷, 7 and 9
I. 8 × 3 ÷ 6 + 9 – 7
II. 9 – 7 × 1 + 6 ÷ 3
Option 1: 0, 8
Option 2: 14, 16
Option 3: 6, 9
Option 4: 10, 11
Correct Answer: 14, 16
Solution :
Given:
I. 8 × 3 ÷ 6 + 9 – 7
II. 9 – 7 × 1 + 6 ÷ 3
Equation (I):
8 × 3 ÷ 6 + 9 – 7
On interchanging the mathematical signs and numbers, the equation becomes –
= 8 ÷ 3 × 6 + 7 – 9
= 16 + 7 – 9
= 23 – 9
= 14
Equation (II):
9 – 7 × 1 + 6 ÷ 3
On interchanging the mathematical signs and numbers, the equation becomes –
=
7 – 9 ÷ 1 + 6 × 3
= 7 – 9 + 6 × 3
= 7 – 9 + 18
= 25 – 9
= 16
Hence, the second option is correct.
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