Multiple choice

In a class of 40 students, ratio of boys and girls is 3 : 2 and the average marks scored by boys is 42 and that by girls is 46. Then the average marks scored by the whole class is:

  1. 43.4

  2. 43.6

  3. 43.8

  4. 44
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B Correct answer
Explanation

Ratio 3:2 means 24 boys and 16 girls. Total marks = (24 * 42) + (16 * 46) = 1008 + 736 = 1744. Average = 1744 / 40 = 43.6.

AI explanation

Using the weighted average method, first find the number of students by dividing the ratio parts into the total: there are 24 boys and 16 girls. The total marks for the boys is 24 multiplied by 42, giving 1008, and the total marks for the girls is 16 multiplied by 46, giving 736. The combined total marks for the entire class is 1008 plus 736, which equals 1744. Dividing this total by the 40 students in the class gives an overall average of 43.6.

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