Question : Directions: After interchanging the given two numbers (Not digits) what will be the values of expression (I) and (II) respectively? 4 and 6 l. 8 – 4 × 3 + 6 ÷ 2 II. 4 + 3 × 6 – 8 ÷ 2
Option 1: 8 and 10
Option 2: 10 and 8
Option 3: 14 and – 8
Option 4: – 8 and 14
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Correct Answer: – 8 and 14
Solution : Given: Interchange the 4 and 6 I. 8 – 4 × 3 + 6 ÷ 2 II. 4 + 3 × 6 – 8 ÷ 2
I. 8 – 4 × 3 + 6 ÷ 2 After interchanging 4 and 6 in the equation, the equation becomes – = 8 – 6 × 3 + 4 ÷ 2 = 8 – 6 × 3 + 2 = 8 – 18 + 2 = 8 – 16 = – 8 II. 4 + 3 × 6 – 8 ÷ 2 After interchanging 4 and 6 in the equation, the equation becomes – = 4 + 3 × 6 – 8 ÷ 2 = 6 + 3 × 4 – 4 = 6 + 12 – 4 = 18 – 4 = 14
So, the equations equal to – 8 and 14. Hence, the fourth option is correct.
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