Question

in an examination one third of the total students use on fair means out of which 1/4 Caught red then find the total number of students appeared in exam

Answer 1

$Let \: the \: total \: students \: appeared \: in \: exam \: be \: x \\ Students \: who \: used \: unfair \: means \: = \frac{1}{3} \: of \: total \: students = \frac{1}{3} \times x = \frac{x}{3} \\ Students \: who \: were \: caught \: red \: handed \: = 1/4 \: of \: Students \: who \: used \: unfair \: means \: = \frac{1}{4} \times \frac{x}{3} = \frac{x}{12} \\ Students \: who \: were \: caught \: red \: handed \: = \: 5 \\ \frac{x}{12} = 5 \\ x = 5 \times 12 \\ x = 60$

Answer 2

please refer to the attachment


Hope it will help you