**CHAPTER â€“ 1 REAL NUMBERS**

#### CASE STUDY BASED QUESTIONS CLASS 10 MATHS

__CASE STUDY 1.__

To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections- section A and section B of grade X. There are 32 students in section A and 36 students in section B.

**1. **What is the minimum number of books you will acquire for the class library, so that they can be distributed equally among students of Section A or Section B?

###### a) 144 b) 128 c) 288 d) 272

**2. **If the product of two positive integers is equal to the product of their HCF and LCM is true then, the HCF (32 , 36) is

###### a) 2 b) 4 c) 6 d) 8

**3. **36 can be expressed as a product of its primes as

###### a) b) c) d)

##### 4. 7X11X13X15+15 is a

a ) Prime number b) Composite number c)Neither prime nor composite d)None of the above

##### 5. If p and q are positive integers such that p = a and q= b, where a , b are prime numbers, then the LCM (p, q) is

###### a) ab b) aÂ²bÂ² c) aÂ³bÂ² d) aÂ³bÂ³

ANSWERS: 1.c 2. b 3. a 4. b 5. b

__CASE STUDY 2:__

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. ** **

- 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
- What is the minimum number of rooms required during the event? a)11 b) 31 c) 41 d) 21
- The LCM of 60, 84 and 108 is a)3780 b) 3680 c) 4780 d) 4680
- The product of HCF and LCM of 60,84 and 108 is a)55360 b) 35360 c) 45500 c) 45360
- 108 can be expressed as a product of its primes as a) 2Â³x3Â² b)2Â²x3Â² c) 2Â³x3Â³ d)2Â²x3Â³

ANSWERS: 1.b 2. d 3. a 4. d 5. d

CASE STUDY BASED QUESTIONS CLASS 10 MATHS