Question

In a seminar, the number of participants in Hindi, English and Mathematics are $60$, $84$ and $108$ respectively. The minimum number of rooms required if in each room the same number of participants are to be seated and all of them being in the same subject?

• A. $21$
• B. $42$
• C. $12$
• D. $24$

Answer 1

The correct option is A $21$

If in a room all of the participants are of same subject then maxiimum number of participants to be seated is HCF of $60,84,108$ and which is $12$.

Again total participants $=60+84+108=252$.

So, minimum number of room required $=\frac{252}{12}=21$.