Question

The average marks obtained by 40 students of a class is 86. If the 6 highest marks are removed, the average reduces by 3 marks. The average marks of the top 6 students is:
1. 88
2. 103
3. 99
4. 126

Answer 1

Correct Answer - Option 2 : 103

Given:

Average marks of 40 students = 86

Calculations:

Total marks obtained by 40 students = 86 × 40

⇒ 3440

6 highest marks are removed

∴ the average marks of 34 students = 83

Total marks obtained by 34 students = 83 × 34

⇒ 2822

⇒ Required Average of top 6 students = (3440 – 2822)/6

⇒ 618/6

⇒ 103

∴ The average marks of the top 6 students are 103.