The mean weight of 100 students in a class is 46 kg. The mean weight of boys is 50 kg and that of girls is 40 kg. The number of boys exceeds the number of girls by

  1. A. 10
  2. B. 15
  3. C. 20
  4. D. 25

Correct Answer: C. 20

Explanation

Let the number of boys be B and girls be G. Using alligation, the ratio of Boys to Girls is (46 - 40) : (50 - 46) = 6 : 4 = 3 : 2. Since total students are 100, B = 60 and G = 40. The difference is 60 - 40 = 20.

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