# CBSE 10th Maths Important MCQs for Chapter 1 Real Numbers with Solutions

Class 10 Maths important MCQs for Chapter 1- Real Numbers are provided here with answers and detailed solutions.

Important Multiple Choice Questions (MCQs) from Real Numbers are provided here for students who are preparing for the CBSE Class 10 Board Exam. Detailed solutions are also provided for all questions. These MCQs will help students clear all the fundamental concepts and prepare effectively for the Class 10 Maths exam.

(1) a= bq – r
(2) a= bq + r
(3) a= br – q
(4) a= br – q

## Q2.The prime factorisation of natural numbers is unique except

(1) Not for the order of its factors
(2) For the order of its factors
(3) None
(4) Both a and b

Answer : for the order of its factors

(1) HCF
(2) LCM
(3) None
(4) Both a and b

(1) LCM
(2) HCF
(3) None
(4) Both a and b

## Q5.For any two positive integers a and b

(1) HCF (a, * LCM (a, = a*b
(2) HCF (a, b) * LCM (a, b) = a/b
(3) None
(4) Both a and b

Answer : HCF (a, * LCM (a, = a*b

(1)4
(2)2
(3)8
(4)6

(1)404
(2)96
(3)969
(4)9696

(1)3
(2)2
(3)12
(4)6

(1)120
(2)72
(3) None
(4)360

## Q10.√2, √3, √15, are the

(1) Irrational number
(2) Rational numbers
(3) Composite numbers
(4) Prime numbers

## Q11.Π is the

(1) Irrational number
(2) Rational number
(3) Composite numbers
(4) Prime numbers

(1) p divides a
(2) a divides p
(3) None
(4) Both a and b

(1) False
(2) True
(3) Not confirm
(4) Both a and b

(1) False
(2) True
(3) None
(4) Both a and b

(1) Irrational
(2) Rational
(3) Not confirm
(4) Both a and b

(1) Irrational
(2) Rational
(3) None
(4) Both a and b

(1) Irrational
(2) Rational
(3) Not confirm
(4) Both a and b

(1) False
(2) True
(3) None
(4) Both a and b

## Q19.Every composite number can be expressed as a product of primes and this

(1) Factorisation is unique
(2) Factorisation is not unique
(3) None
(4) Both a and b

## Q20.The set of natural numbers denoted by N is

(1) {…. -2, -1, 0, 1, 2, 3, ….}
(2) {0, 1, 2, 3, 4,}
(3) {2, 4, 6, 8,}
(4) {1, 2, 3, 4, ….}

Answer : {1, 2, 3, 4,}

## Q21.Set of natural numbers contains all the integers

(1) negative integers
(2) positive integers
(3) all the whole numbers
(4) both a and b

## Q22.The set of natural numbers is the proper subset of

(1) set of integers
(2) set of whole numbers
(3) none
(4) both a and b

Answer : both a and b

(1)0
(2)1
(3) none
(4) both a and b

## Q24.The addition of two natural numbers is the again

(1) positive integer
(2) natural number
(3) zero
(4) both a and b

Answer : both a and b

## Q25.The addition of two natural numbers is also natural number which is called as

(1) commutative property
(2) associative property
(3) distributive property
(4) closure property

## Q26.The addition and multiplication are associative in case of natural numbers is the property of

(1) associative property
(2) closure property
(3) distributive property
(4) commutative property

## Q27.when we reverse the order of natural numbers in case of addition and multiplication then the answer will not be changed. The property is called as

(1) commutative property
(2) closure property
(3) distributive property
(4) associative property

## Q28.the property in which natural numbers are distributed over addition is called as

(1) commutative property
(2) distributive property
(3) associative property
(4) closure property

## Q29.The additive identity of set of natural numbers is

(1)0
(2)1
(3) does not exist
(4) both 0 and 1

## Q30.The multiplicative identity of set of natural numbers is

(1)1
(2)0
(3) does not exist
(4) both 0 and 1

## Q31.The set of whole numbers is the set of natural numbers which includes also

(1) rational numbers
(2) negative integers
(3) none of the above
(4) zero

## Q32.The set whole numbers are

(1) {0, 1, 2, 3, 4,}
(2) {1, 2, 3, 4,}
(3) {1, 3, 5, 7, …}
(4) {…-2, -1, 0, 1, 2, …}

Answer : {0, 1, 2, 3, 4, …}

## Q33.The numbers which does not includes to set of whole numbers are

(1) 2.3, 4.5
(2) 1/3, 1/5
(3) natural numbers
(4) both a and b

Answer : both a and b

## Q34.All the natural numbers are

(1) whole numbers
(2) positive integers
(3) both a and b
(4) negative integers

Answer : both a and b

## Q35.The set of whole numbers is the proper subset of

(1) natural numbers
(2) integers
(3) both a and b
(4) rational numbers

## Q36.The set of whole numbers does not include

(1) fractions
(2) negative integers
(3) a, b and c
(4) decimals

Answer : a, b and c

## Q37.The set of natural numbers is the subset of

(1) integers
(2) whole numbers
(3) both a and b
(4) rational numbers

Answer : both a and b

## Q38.The set of natural numbers also called as

(1) set of whole numbers
(2) set of integers
(3) set of counting numbers
(4) set of rational numbers

Answer : set of counting numbers

## Q39.the set of natural numbers N and set of whole numbers W are the proper subsets of

(1) set of prime numbers
(2) set of rational numbers
(3)set of integers
(4) set of composite numbers

## Q40.Every natural number is a

(1) positive integer
(2) whole number
(3) both a and b
(4) rational number

Answer : both a and b

## Q41.Except zero all the whole numbers are

(1) natural numbers
(2) integers
(3) odd numbers
(4) prime numbers

## Q42.The number expressed in the form of p/q where p and q both are integers and q is not equal to zero then p/q is a

(1) rational number
(2) irrational number
(3) even number
(4) prime number

## Q43.The rational numbers include

(1) natural numbers
(2) whole numbers
(3) a, b and c
(4) integers

Answer : a, b and c

## Q44.The rational numbers are also called as

(1) composite numbers
(2) decimals
(3) both a and c
(4) fractions

Answer : both a and c

(1) always false
(2) always true
(3) can’t say
(4) both a and b

(1)3
(2)1
(3) both a and c
(4)0

## Q47.Every rational number is an integer

(1) always false
(2) always true
(3) can’t say
(4) sometimes true

## Q48.There are rational numbers between any two given rational numbers.

(1) few
(2) infinitely many
(3) can’t say
(4) five

## Q49.The umbers which are not written in the form of p/q where p and q are integers and q is not equal to zero are called

(1) irrational numbers
(2) rational numbers
(3) none
(4) both a and b

## Q50.√3 is a

(1) irrational number
(2) rational number
(3) none
(4) both a and b

## Q51.π is a

(1) irrational number
(2) rational number
(3) none
(4) both a and b

(1) irrational
(2) rational
(3) none
(4) both a and b

(1) irrational
(2) rational
(3) none
(4) a and b

## Q54.If we add, subtract, multiply or divide two irrationals the result may be

(1) irrational
(2) rational
(3) none
(4) both a and b

Answer : both a and b

## Q55.Prime numbers are those which are having factors

(1) itself
(2) one
(3) none
(4) one and itself

(1) false
(2) true
(3) none
(4) both a and b

(1) false
(2) true
(3) none
(4) both a and b

## Q58.0 and 1 are

(1) only not prime
(2) neither prime nor composite
(3) none
(4) only not composite

Answer : neither prime nor composite

(1) even
(2) odd
(3)c) composite
(4) both and b