Question

6. In a seminar, the number of participants in Hindi, English and Mathematics
are 106, 159 and 265 respectively. Find the minimum number of rooms required,
if in each room the same number of participants is to be seated and all of them are for the same subject.​

Answer 1

Answer:

The Number of room will be minimum if each room accomodates maximum

number of participants. Since in each room the same number of participants

are to be seated and all of them must be of the same subject. Therefore, the

number of participants in each room must be the HCF of 60,84 and

108. The prime factorisations of 60,84 and 108 are as under.

$60,84 and 108 are as under.</p><p>60=2 </p><p>2</p><p> ×3×5,84=2 </p><p>2</p><p> ×3×7 and 108=2 </p><p>2</p><p> ×3 </p><p>3$

$HCF of 60,84 and 108 is 22×3=12</p><p>Therefore, in each room 12 participants can be seated.</p><p></p><p>∴ Number of rooms required=12Total number of participants</p><p>                                                          =1260+84+108=12252=</p><p></p><p>$

Step-by-step explanation:

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