Question

in an examination 1/3 of the total students used unfair means out of which 1/4 caught red handed while cheating. if 5 students caught red handed then find the total no. of students appeared in exam

Answer 1

The total number of students appeared = 60.

Given:  

The number of students used unfair means $=\frac{1}{3}$

The number of students caught red hand while cheating $=\frac{1}{4}$

Let x be the total number of students.

Now, from the given data, it is clear that the students who uses unfair means

$=\frac{1}{3} \text {(total number of students)}$

$=\frac{1}{3} x$.

Thus,

Students who uses unfair means $=\frac{1}{4} \times \frac{1}{3} x=\frac{1}{12} x$

Now, students who were caught right handed is given by 5.

Therefore, $\frac{x}{12}=5$

$\Rightarrow x=5 \times 12=60$.

Answer 2

Answer:

The answer is there in the attachment.