# CBSE Class 10 Maths Case Study Questions for Class 10 Maths Chapter 1 - Real Numbers (Published by CBSE)

The Central Board of Secondary Education has introduced the case study questions in class 10 exam pattern 2021-2022. The CBSE Class 10 questions papers of Board Exam 2022 will have questions based on case study. Therefore, students should get familiarised with these questions to do well in their board exam.

We have provided here case study questions for Class 10 Maths Chapter 1 - Real Numbers. These questions have been published by the CBSE board itself. Students must solve all these questions at the same time they finish with the chapter - Real numbers.

**Case Study Questions for Class 10 Maths Chapter 1 - Real Numbers**

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

**Answer: **c) 288

**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

**Answer: **b) 4

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

a) 2^{2} × 3^{2}

b) 2^{1} × 3^{3}

c) 2^{3} × 3^{1}

d) 2^{0} × 3^{0}

**Answer: **a) 2^{2} × 3^{2}

**4. 7 × 11 × 13 × 15 + 15 is a**

a) Prime number

b) Composite number

c) Neither prime nor composite

d) None of the above

**Answer: **b) Composite number

**5. If p and q are positive integers such that p = ab ^{2} and q= a^{2}b, where a , b are prime numbers, then the LCM (p, q) is**

a) ab

b) a^{2}b^{2}

c) a^{3}b^{2}

d) a^{3}b^{3}

**Answer: **b) a^{2}b^{2}

**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.

**1. 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) 12

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

a) 11

b) 31

c) 41

d) 21

**Answer: **d) 21

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

a) 3780

b) 3680

c) 4780

d) 4680

**Answer: **a) 3780

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

a) 55360

b) 35360

c) 45500

d) 45360

**Answer: **d) 45360

**5. 108 can be expressed as a product of its primes as**

a) 2^{3} × 3^{2}

b) 2^{3} × 3^{3}

c) 2^{2} × 3^{2}

d) 2^{2} × 3^{3}

**Answer:** d) 2^{2} × 3^{3}

**CASE STUDY 3:**

A Mathematics Exhibition is being conducted in your School and one of your friends is making a model of a factor tree. He has some difficulty and asks for your help in completing a quiz for the audience.

Observe the following factor tree and answer the following:

**1. What will be the value of x?**

a) 15005

b) 13915

c) 56920

d) 17429

**Answer:** b) 13915

**2. What will be the value of y?**

a) 23

b) 22

c) 11

d) 19

**Answer:** c) 11

**3. What will be the value of z?**

a) 22

b) 23

c) 17

d) 19

**Answer:** b) 23

**4. According to Fundamental Theorem of Arithmetic 13915 is a**

a) Composite number

b) Prime number

c) Neither prime nor composite

d) Even number

**Answer:** a) Composite number

**5. The prime factorisation of 13915 is**

a) 5 × 11^{3} × 13^{2}

b) 5 × 11^{3} × 23^{2}

c) 5 × 11^{2} × 23

d) 5 × 11^{2} × 13^{2}

**Answer:** c) 5 × 11^{2} × 23

**Also Check:**

**CBSE Case Study Questions for Class 10 Maths - All Chapters**

**Tips to Solve Case Study Based Questions Accurately**

**CBSE Class 10 Maths Best & Complete Study Material for 2021-2022**