Multiple choice

Find the value of Q1 and Q2 and state the correct relationship.\newline\newlineQuantity I: Average of 7 consecutive odd numbers is 37 find the second lowest.\newlineQuantity II: The ratio between the present ages of A and B is 2:3. 4 years ago the ratio between their ages was 5:8. What will be A’s age after 7 years?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
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A Correct answer
Explanation

Quantity I: Average of 7 consecutive odd numbers is 37, so sum = 7 × 37 = 259. The middle number (4th) = 37. The sequence is 31, 33, 35, 37, 39, 41, 43. Second lowest = 33. Quantity II: Present ages A:B = 2:3, so A = 2x, B = 3x. Four years ago: (2x-4):(3x-4) = 5:8, so 8(2x-4) = 5(3x-4), giving 16x-32 = 15x-20, so x = 12. A's present age = 24, after 7 years = 31. Since 33 > 31, Quantity I > Quantity II.

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