Question

Students of School were divided into 15 houses for games and cultural events. If the school comprises 1200 students. Is there any houses which has more students than other? If yes, then how many students are more in the house than rest houses?

• A. Yes
• B. No
• C. $80$
• D. $90$

Answer 1

The correct option is B No

Number of students in school $=1200$
Number of houses $=15$
$1200$ is completely divisible by $15$.

Sum of digits of $1200=1+2+0+0=3$, which is divisible by $3$.

Also, unit place digit is $0$, which makes it divisible by $5$.

And, when any number is divisible by $3$ and $5$ simultaneously then the number is completely divisible by $15$.
So, There will be no extra student in any house.
Each houses have equal number of students.