Madhya Pradesh Police Exam Model Paper 7

Given:
Total number of students (n) $=102$
Average marks of 102 students (a) $=18$
Average marks of passed students $\left(\mathit{x}\right)=26$
Average marks of failed students $\left(\mathit{y}\right)=10$
Formula:
Number of passed students $=\mathit{n}\left(\mathit{a}-\mathit{y}\right)/\left(\mathit{x}-\mathit{y}\right)$
Calculations:
According to the formula:
$\Rightarrow \mathit{n}\left(\mathit{a}-\mathit{y}\right)/\left(\mathit{x}-\mathit{y}\right)$
$\Rightarrow 102\left(18-10\right)/\left(26-10\right)$
$\Rightarrow 102\times 8/16$
$\Rightarrow 51$ The number of failed students $=102-51$
⇒ 51
∴ The number of failed students is 51.