Class 10 Maths Chapter 1 MCQ

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 2021-2022.

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.

Class 10 Maths Chapter 1 MCQ Questions
Q1

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
Q2

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
Q3

36 can be expressed as a product of its primes as

[A]. 2² х 3²
[B]. 2¹ х 3³
[C]. 2³ х 3¹
[D]. 2⁰ х 3⁰
Q4

7 х 11 х 13 х 15 + 15 is a

[A]. Prime number
[B]. Composite number
[C]. Neither prime nor composite
[D]. None of the above
Q5

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

[A]. ab
[B]. a²b²
[C]. a³b²
[D]. a³b³




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.

Class 10 Maths Chapter 1 Real Numbers MCQ
Q6

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
Q7

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

[A]. 11
[B]. 31
[C]. 41
[D]. 21
Q8

The LCM of 60, 84, and 108 is

[A]. 3780
[B]. 3680
[C]. 4780
[D]. 4680
Q9

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

[A]. 55360
[B]. 35360
[C]. 45500
[D]. 45360
Q10

108 can be expressed as a product of its primes as

[A]. 2³ х 3²
[B]. 2³ х 3³
[C]. 2² х 3²
[D]. 2² х 3³




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.

Case study based MCQ for 10th Maths chapter 1
Q11

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

[A]. 150 litres
[B]. 160 litres
[C]. 170 litres
[D]. 180 litres
Q12

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

[A]. 3100
[B]. 3200
[C]. 3300
[D]. 3400
Q13

680 can be expressed as a product of its primes as

[A]. 2² х 5 х 17
[B]. 2¹ х 5 х 17
[C]. 2³ х 5 х 17
[D]. 2³ х 5 х 17⁰
Q14

2 х 3 х 5 х 11 х 17 + 11 is a

[A]. Prime number
[B]. Composite number
[C]. Neither prime nor composite
[D]. None of the above
Q15

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

[A]. ab
[B]. a³b³
[C]. a³b⁵
[D]. a⁵b³



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:

Class 10 Maths Case study MCQ Factor tree
Q16

What will be the value of x?

[A]. 15005
[B]. 13915
[C]. 56920
[D]. 17429
Q17

What will be the value of y?

[A]. 23
[B]. 22
[C]. 11
[D]. 19
Q18

What will be the value of z?

[A]. 22
[B]. 23
[C]. 17
[D]. 19
Q19

According to Fundamental Theorem of Arithmetic 13915 is a

[A]. Composite number
[B]. Prime number
[C]. Neither prime nor composite
[D]. Even number
Q20

The prime factorisation of 13915 is

[A]. 5 х 11³ х 13²
[B]. 5 х 11³ х 23²
[C]. 5 х 11² х 23
[D]. 5 х 11² х 13²



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.

10th Maths MCQ Chapter 1 Case study
Q21

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

[A]. 120 m 40 cm
[B]. 122 m 40 cm
[C]. 12 m 4 cm
[D]. None of these
Q22

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

[A]. 120
[B]. 125
[C]. 130
[D]. 136
Q23

The HCF of 80, 85, and 90 is

[A]. 5
[B]. 10
[C]. 12
[D]. 18
Q24

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

[A]. 60400
[B]. 61000
[C]. 61200
[D]. 65500
Q25

90 can be expressed as a product of its primes as

[A]. 2 х 3² х 5²
[B]. 2 х 3³ х 5
[C]. 2² х 3² х 5
[D]. 2 х 3² х 5




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.

Q26

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

[A]. 25 = 25 × 1 + 0
[B]. 25 = 7 × 3 + 4
[C]. 25 = 7 × 2 + 11
[D]. 25 = 7 × 4 – 3
Q27

Three farmers have 490kg, 588kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.

[A]. 98 kg
[B]. 290 kg
[C]. 220 kg
[D]. 250 kg
Q28

The decimal expansion of the rational number 14587/250 will terminate after

[A]. One decimal place
[B]. Two decimal places
[C]. Three decimal places
[D]. Four decimal places




Q29

When a number is divided by 7, its remainder is always

[A]. Greater than 7
[B]. At least 7
[C]. Less than 7
[D]. At most 7
Q30

The number π is

[A]. A Natural number
[B]. A Rational number
[C]. An irrational number
[D]. A Whole number
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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