Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course

Q.

There are 60, 84, and 108 participants in the English, Hindi, and math seminars, respectively. Calculate the smallest number of rooms necessary if the same number of participants are to be seated in each room and they are all studying the same topic.


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

19

b

20

c

21

d

22 

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Concept: We will first determine the HCF of the integers 60, 84, and 108 before we express each number as the product of prime factors. The number of attendees who will be seated is that. The minimum number of rooms can then be determined by multiplying the total participants by the HCF of the supplied numbers.
There are 60 participants in the English class, 84 participants in the Hindi class, and 108 participants in the math class.
If the same number of people are to be seated, we need to determine the number of rooms.
We'll start by figuring out how many participants need to be seated.
Participants should all be present in equal numbers.
We will look for HCF of 60, 84, and 108 to determine that number.
Each number should be expressed as the sum of its prime components.

2

60

2

30

3

15

5

5

 

1

https://lh4.googleusercontent.com/73t7rsmkwUmEPDaf1dnQUpAWT2bbar5j3gtJInCi7SWNV2Skt85lC93x0ssOd74zvS23uh3a2IG8GAupSwPwbalfGjtYGp_tM-XtH-UXCBBNzpjrL24aee1pJdrtwpvOAtfP66oOX88P_IxWa5lT2g

2

84

2

42

3

21

7

7

 

1

https://lh5.googleusercontent.com/BQ8w4tKwzg85vw04-SCEdlxHJ6d4T1BPf2JOIekvvQNRXV94NSWZpZtrVInVfEJG6TJEpESne0iVbDJSuoHx01MI3vWGlKfhK1eUSQX-ft5-yf8_Ju_VsYQGTjCpf3ywX2fT_yiLY1mB6tEpUq-F9w

2

108

2

54

3

27

3

9

3

3

 

1

https://lh4.googleusercontent.com/0uM86v2kuZ_uuOPIKSSMb9kjeSu1RJYVeBFNEskbYa0NaQ89EkRlKMHmAGrA3-uYdacid5mYztxIoG-pZNat8Kcj-hMJNJGOYOJ3Pxj9ypIu4COu7gxwCyL-ufGqhITDlmOw0TSdw8Vjk-cACQI0XwThus, HCF https://lh6.googleusercontent.com/HOBTBfIruy3OlZfQkPRIoBlbIts0BJGJztbm0iBo-PDnKX___QKatcahqEP1Mg-J2phWLuXFH8OTnTkY3A-jphzs2weDq0lRG75J4LCmMdPx3SxBbIX-vibFXH3lPKCW6FOM0l40S11vM-J3-8AkywConsequently, there will be 12 people in each room.
To determine the minimal number of rooms, divide the total number of pupils by the number of people in each room.
https://lh4.googleusercontent.com/bFlnnrG98g-6kJ8yefRm6h8oGMAichdxzc7VdXNoruFIpzBxPfwI298qxprTsU02FyEe4tKxGKv8FQ7lpTRraCgyPEFNrJ21EH9nVbk8IuAgZeeioml3LXo5DxBjTb-BkVzWVKgez-TJdv51TRhD4wTherefore, there should be a minimum of 21 rooms so that everyone is the same number and is discussing the same topic.
Hence, the correct option is 3) 21
 
Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
whats app icon