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Q: On interchanging the given two numbers what will be the respective values of equation (I) and (II)? 4 and 6 I. 8 – 4 × 3 + 6 ÷ 2 II. 4 + 3 × 6 – 8 ÷ 2
  • A. 8 and 10
  • B. 10 and 8
  • C. 14 and –8
  • D. –8 and 14
Correct Answer: Option D - According to the question, I- 8 – 4 × 3 + 6 ÷ 2 On interchanging the number 4 and 6 in equation, = 8 – 6 × 3 + 4 ÷ 2 = 8 – 18 + 2 = 10 – 18 = – 8 II- 4 + 3 × 6 – 8 ÷ 2 On interchanging the numbers 4 and 6 in equation II = 6 + 3 × 4 – 8 ÷ 2 = 6 + 12 – 4 = 18 – 4 = 14 Hence, the value of expression (I) and (II) is (–8) and 14 respectively.
D. According to the question, I- 8 – 4 × 3 + 6 ÷ 2 On interchanging the number 4 and 6 in equation, = 8 – 6 × 3 + 4 ÷ 2 = 8 – 18 + 2 = 10 – 18 = – 8 II- 4 + 3 × 6 – 8 ÷ 2 On interchanging the numbers 4 and 6 in equation II = 6 + 3 × 4 – 8 ÷ 2 = 6 + 12 – 4 = 18 – 4 = 14 Hence, the value of expression (I) and (II) is (–8) and 14 respectively.

Explanations:

According to the question, I- 8 – 4 × 3 + 6 ÷ 2 On interchanging the number 4 and 6 in equation, = 8 – 6 × 3 + 4 ÷ 2 = 8 – 18 + 2 = 10 – 18 = – 8 II- 4 + 3 × 6 – 8 ÷ 2 On interchanging the numbers 4 and 6 in equation II = 6 + 3 × 4 – 8 ÷ 2 = 6 + 12 – 4 = 18 – 4 = 14 Hence, the value of expression (I) and (II) is (–8) and 14 respectively.