Question

The department of Computer Science and technology is conducting an international

seminar. In seminar, the number of participants in Mathematics, Science and

Computer Science are 60, 84 and 108 respectively. The coordinator has made the

arrangement such that in each room, the same number of participants are to be seated

and all of them being in same subject. Also, they allotted a separate room for all the

officials other than participants

i) The total number of participants.

a) 60 b) 284

c) 108 d) 252

ii) L.C.M of 60, 84 and 108 is

a) 12 c) 544320

b) 504 d)3780
iii) H.C.F of 60, 84, and 108 is

a) 12 c) 84

b) 60 d) 102

iv) 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 subjects:

a) 12 c) 21

b) 20 d) None of these

v) Based on the above(iv) conditions, the minimum number of rooms required

for all the participants and officials:

a) 12 c) 21

b) 20 d) none of these​

Answer 1

Answer:

1. The total number of participants = 60 + 84 + 180 = 284 (ans)

2. LCM of 60, 84, and 108 will be = 3780

12 × 5 × 5 × 3 = 3780(ans)

3. HCF of 60, 84 and 180 will be = 12

2 × 2 × 3 = 12(ans)

4. The no. of rooms required for participants is already found out by taking HCF of children and there are 21 required for participants .

5 + 7 + 9 = 21 (ans)

5. No. of rooms required for participants are 21 and as mentioned above one more room was required for officials so 21 + 1 = 22 (ans)

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