Refer to Case Study Chapter 1 Real Numbers Mathematics, these class 10 maths case study based questions have been designed as per the latest examination guidelines issued for the current academic year by CBSE, NCERT, KVS. Students should go through these solves case studies so that they are able to understand the pattern of questions expected in exams and get good marks.

## Chapter 1 Real Numbers Mathematics Case Study Based Questions

**Case study : l**

**A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.**

**Question. In each room the same number of participants are to be seated and all of them being in the same subject, hence maximum number participants that can accommodated in each room are **

(a) 14

(b) 12

(c) 16

(d) 18

**Answer**

B

**Question. The LCM of 60, 84 and 108 is **

(a) 3780

(b) 3680

(c) 4780

(d) 4680

**Answer**

A

**Question. The product of HCF and LCM of 60,84 and 108 is **

(a) 55360

(b) 35360

(c) 45500

(d) 45360

**Answer**

D

**Question. 108 can be expressed as a product of its primes as **

(a) 2^{3} x 3^{2}

(b) 2^{3} x 3^{3}

(c) 2^{2} x 3^{2}

(d) 2^{2} x 3^{3}

**Answer**

D

**Question. What is the minimum number of rooms required during the event? **

(a) 11

(b) 31

(c) 41

(d) 21

**Answer**

D