Multiple choice

The average marks of Section A are 65 and that of Section B are 70. If average marks of both the sections combined are 67, then the ratio of number of students of section A to that of section B is

  1. 3 : 2

  2. 1 : 3

  3. 3 : 1

  4. 2 : 3
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AI explanation

Using the method of alligation, the ratio of the number of students is the inverse of the deviations of their section averages from the combined average. The deviation of Section A from the combined average is 65 - 67 = -2, and the deviation of Section B is 70 - 67 = 3. The required ratio of Section A to Section B is 3 : 2.

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