Question

The average marks obtained by 102 students is 18. If the average marks of the passed students are 26 and that of the failed students is 10, what will be the number of failed students?
1. 64
2. 51
3. 49
4. 54

Answer 1

Correct Answer - Option 2 : 51

Given:

Total number of students (n) = 102

Average marks of 102 students (a) = 18

Average marks of passed students (x) = 26

Average marks of failed students (y) = 10

Formula:

Number of passed students = n(a - y)/(x - y)

Calculations:

According to the formula:

⇒ n(a - y)/(x - y)

⇒ 102(18 - 10)/(26 - 10)

⇒ 102 × 8/16

⇒ 51

The number of failed students = 102 - 51

⇒ 51

∴ The number of failed students is 51.