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Q: On interchanging the given two numbers what will be the respective values of equations (I) and (II)? 6 and 4 I. 10 × 6 – 30 ÷ 4 + 20 II. 8 – 4 × 5 + 6 ÷ 2
  • A. 10 and –6
  • B. 12 and –6
  • C. 20 and 55
  • D. 55 and –20
Correct Answer: Option D - According to the question, In I equation, 10 × 6 – 30 ÷ 4 + 20 On Interchanging (6 and 4) ⇒ 10 × 4 – 30 ÷ 6 + 20 ⇒ 10 × 4 – 5 + 20 = 55 In second equation, 8 – 4 × 5 + 6 ÷ 2 On Interchanging (6 and 4) ⇒ 8 – 6 × 5 + 4 ÷ 2 ⇒ 8 – 30 + 2 = – 20 Hence, the value of equations I and II are 55 and -20 respectively.
D. According to the question, In I equation, 10 × 6 – 30 ÷ 4 + 20 On Interchanging (6 and 4) ⇒ 10 × 4 – 30 ÷ 6 + 20 ⇒ 10 × 4 – 5 + 20 = 55 In second equation, 8 – 4 × 5 + 6 ÷ 2 On Interchanging (6 and 4) ⇒ 8 – 6 × 5 + 4 ÷ 2 ⇒ 8 – 30 + 2 = – 20 Hence, the value of equations I and II are 55 and -20 respectively.

Explanations:

According to the question, In I equation, 10 × 6 – 30 ÷ 4 + 20 On Interchanging (6 and 4) ⇒ 10 × 4 – 30 ÷ 6 + 20 ⇒ 10 × 4 – 5 + 20 = 55 In second equation, 8 – 4 × 5 + 6 ÷ 2 On Interchanging (6 and 4) ⇒ 8 – 6 × 5 + 4 ÷ 2 ⇒ 8 – 30 + 2 = – 20 Hence, the value of equations I and II are 55 and -20 respectively.