Multiple choice

A group of four persons consist of two men A and B, and two women C and D. The average weight of all four is 55 kg. The average weight of the two men is over 60 kg. D weighs more than 52 kg. In this context, which one of the following statements follows logically?

  1. Any man weighs more than any woman.

  2. C's weight is less than 49 kg.

  3. C's weight is the lowest

  4. Either of the men weighs more than 60 kg.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total weight of all four = 4 × 55 = 220 kg. Since D > 52 kg, A + B + C < 220 - 52 = 168 kg. The two men (A and B) average over 60 kg, so A + B > 120 kg. Therefore C < 168 - 120 = 48 kg. This means C weighs less than 48 kg. Since both men average over 60 kg and D > 52 kg, C must be the lightest person in the group.

Keep practicing — related questions