Multiple choice

Directions: You are given two quantities, Quantity I and Quantity II. Compare the two quantities and choose the correct option accordingly. Average age of the students of class A is 8 years and those of class B is 13 years. The average age of all the students together is 11 years. Quantity I: Number of students of Class A Quantity II: Number of students of Class B

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I = Quantity II

  4. No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

By alligation: (13-11) / (11-8) = 2/3. Ratio of Class A to Class B is 2:3. Since 2 < 3, Quantity I < Quantity II.

AI explanation

Using the method of alligation with the average ages of class A and B, write the class A average of 8 and class B average of 13 against the combined average of 11. The ratio of the number of students in class A to class B is 13 minus 11 to 11 minus 8, which simplifies to 2 to 3. This ratio shows that class A has fewer students than class B. Therefore, Quantity I is less than Quantity II.

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