CBSE Class 10 Maths (Standard) 2025 · Paper 30(B)/S · Question 36

Real Numbers 4 marks Medium

The science department of a college is conducting an international seminar in which the number of participants in Physics, Chemistry and Biology are

65

91

and

117

respectively. The coordinator has made the arrangement such that in each room, the same number of participants are to be seated with all of them being in the same subject. Based on the information given above, answer the following questions:

(i)Find the HCF of $65$ , $91$ and $117$ .[1]
(ii)Find the LCM of $65$ , $91$ and $117$ .[1]
(iii)(a)Find the minimum number of rooms required based on the above conditions.[2]
(iii)(b)OR Find the minimum number of participants to be accommodated in each of the rooms.[2]

Answer

(i)

HCF = 13

; (ii)

LCM = 4095

; (iii)(a) The minimum number of rooms is

21

(

5

for Physics,

7

for Chemistry,

9

for Biology); (iii)(b) Each room accommodates

13

participants.

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CBSE Class 10 Maths (Standard) 2025 · Paper 30(B)/S · Question 36

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