Class 10 Maths Chapter 1 Real Numbers MCQ (Multiple Choice Objective Questions) with answers and complete explanation case study type questions for the first term examination 2023-24. The answers of 10th Maths Chapter 1 MCQ are given with explanation, so that students can understand easily. This page of Class 10 Maths MCQ contains the questions released by CBSE as well as extra questions for practice.

## Class 10 Maths Chapter 1 MCQ – Case Study

### 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.

#### 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?

#### 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

#### 36 can be expressed as a product of its primes as

#### 7 х 11 х 13 х 15 + 15 is a

#### If p and q are positive integers such that p = ab² and q = a²b, where a, b are prime numbers, then the LCM (p, q) is

### 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

#### What is the minimum number of rooms required during the event?

#### The product of HCF and LCM of 60, 84, and 108 is

#### 108 can be expressed as a product of its primes as

### Case Study – 3

Rohit Singh is a worker in a petrol pump. He along with the other co-workers, use to transfer petrol from tanker to storage. On Monday, there were two tankers containing 850 litres and 680 litres of petrol respectively.

#### What is the maximum capacity of a container which can measure the petrol of either tanker in exact number of time?

#### If the product of two positive integers is equal to the product of their HCF and LCM is true then, the LCM (850, 680) is

#### 680 can be expressed as a product of its primes as

#### 2 х 3 х 5 х 11 х 17 + 11 is a

#### If p and q are positive integers such that p = a³b² and q = a²b³, where a, b are prime numbers, then the LCM (p, q) is

### Case Study – 4

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:

#### According to Fundamental Theorem of Arithmetic 13915 is a

#### The prime factorisation of 13915 is

### Case Study – 5

We all know that morning walk is good for health. In a morning walk, three friends Anjali, Sofia, and Angelina step of together. There steps measure 80 cm, 85 cm, and 90 cm. respectively.

#### What is the minimum distance each should walk so that they can cover the distance in complete steps?

#### What is the minimum number of steps taken by any of the three friends, when they meet again?

#### The product of HCF and LCM of 80, 85, and 90 is

#### 90 can be expressed as a product of its primes as

Class: | 10 |

Subject: | Maths – Real Numbers |

Contents: | Multiple Choice Questions (MCQ) |

### Class 10 Maths Chapter 1 MCQ for CBSE Board Exams

Class 10 Maths Chapter 1 MCQ are given below. There are total of 5 questions with four choices. Only one option is correct and the explanation of correct answer is given below the questions. Every time the students will get a new set of five questions with different levels of questions. For any further discussion, please join the Discussion Forum.

#### Euclid’s division lemma represents the pair of integers 25 & 7.

#### For some integer p, every even integer is of the form

#### If the HCF of 408 and 1032 is expressible in form 1032 × 2 + 408 × P, then value of p is

#### (6 + 5 √3) – (4 – 3 √3 ) is

#### The smallest rational number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal, is

### What are the important topics in Class 10 Maths Chapter 1 MCQ?

Euclid’ division lemma and the Fundamental Theorem of Arithmetic are the two main topics in 10th Maths chapter 1 Real Numbers. Now questions are designed on the basis of case study. So practice MCQ questions based on daily life events which will be more helpful in CBSE exams.

### In which of the four exercise of 10th Maths Chapter 1, are Case Study MCQ asked?

There are questions from each exercise of Chapter 1 of 10th Maths, but most of the MCQs can be formed from Exercise 1.4. Now CBSE introduces the questions based on CASE STUDY which may be asked from any section of class 10 Maths chapter 1.

### How many MCQ are required to be perfect in Chapter 1 of Class 10 Maths?

If your concepts are clear, the MCQs provide more confidence in that section. More practice means more to retain and better understanding with the concepts of topics.

### How many questions from Chapter 1 of Class 10 Maths asked in CBSE Board?

There is no classification of number of questions from the different chapters. There may be one, more than one or none from Chapter 1 Real Numbers of Class 10 Maths.

We are adding more questions frequently, so that students can have a good practice of Class 10 Maths Chapters. If you have suggestion or feedback about this page or website improvement, you are welcome. Important questions with solutions and answers will be added very soon for each chapter of class 10 Maths.

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