CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In a seminar, the number of participants in Hindi, English and Mathematics are $$60,\ 84$$ and $$108$$ respectively. Find the 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.


Solution

 The number of participants in each room must be the $$HCF$$ of $$60,84$$ and $$108$$.

In order to find the $$HCF$$ of $$60,84$$ and $$108$$, we first the $$HCF$$ of $$60$$ and $$84$$ by Euclids division algorithm:
Clearly, $$HCF$$ of $$60$$ and $$84$$ is $$12$$.

Now, we find the $$HCF$$ of $$12$$ and $$108$$
Clearly, $$HCF$$ of $$12$$ and $$108$$ is $$12$$.
Hence, the $$HCF$$ of $$60,84$$ and $$108$$ is $$12$$.

Therefore, in each room maximum $$12$$ participants can be seated.
Wehave,

Total number of participants $$=60+84+108=252$$
$$\therefore \quad$$ Number of rooms required $$=\dfrac { 252 }{ 12 } =21$$.

924180_1008065_ans_8b65ba944dd548ac9721d3fa12188862.png

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image