Question

There are some benches in a class room. If 4 students sit on each bench, then 3 benches are left unoccupied. However, if 3 students sit on each bench,3 students are left standing. How many students are there in the class?

• A. 36
• B. 48
• C. 52
• D. 56
• E. 64

Answer 1

Answer: (B)

48

Let there be x students in the class.
When 4 students sit on each bench, number of benches $\frac{x}{4}+3$..........(i)
When 3 students sit on each bench number of benches = $\frac{x-3}{3}$
$\Rightarrow \frac{x}{4}+3=\frac{x-3}{3}$
$\Rightarrow 3x+36=4x-12x=48$