Multiple choice

Each question below contains a statement followed by Quantity I and Quantity II. Find the correct relationship among them. There are 84 students in a class whose average age is 13 years. The average age of the girls in the class is 15 years while the average age of the boys is 12 years? Quantity I: No of boys in the class is? Quantity II: No of girls in the class is?

  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

Let b = boys, g = girls. Total: b + g = 84. Weighted age: 12b + 15g = 13 × 84 = 1092. Solving gives b = 52, g = 32. Quantity I (boys = 52) > Quantity II (girls = 32). The answer comes from solving the two equations.

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