Multiple choice

In class X, there are 3 sections, A, B and C with 25, 40 and 35 students respectively. The average marks of section A, section B and section C are 70%, 65% and 50%, respectively. Find the average marks of the entire class X.

  1. 50%

  2. 55%

  3. 61%

  4. 65%

  5. 70%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total students = 25 + 40 + 35 = 100. Total marks = (25 * 70) + (40 * 65) + (35 * 50) = 1750 + 2600 + 1750 = 6100. Average = 6100 / 100 = 61%.

AI explanation

Using the method of weighted averages, the total marks for the entire class is the sum of the products of the number of students and their respective averages. This gives a total of 25 times 70, plus 40 times 65, plus 35 times 50, which equals 1750, 2600, and 1750 respectively. We add these to get a combined sum of 6100. The total number of students is 25 plus 40 plus 35, which is 100. Dividing the total marks by the total students gives 6100 divided by 100, resulting in an overall average of 61 percent.

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