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.

Q1.If there are two positive integers a and b then there exists unique integers q and r satisfying

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

Answer

Answer : bq + r


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

Answer : for the order of its factors


Q3.The product of the smallest power of each common prime factor in the numbers is the

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

Answer

Answer : HCF


Q4.The product of the greatest power of each prime factor involved in the numbers is the

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

Answer

Answer : LCM


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

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


Q6.The HCF of 96 and 404 is

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

Answer

Answer : 4


Q7.The LCM of 96 and 404 is

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

Answer

Answer : 9696


Q8.The HCF of 6, 72 and 120 is

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

Answer

Answer : 6


Q9.The LCM of 6, 72 and 120 is

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

Answer

Answer : 360


Q10.√2, √3, √15, are the

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

Answer

Answer : irrational numbers


Q11.Π is the

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

Answer

Answer : irrational number


Q12.Let p be the prime number, if p divides a2then (a is the positive integer)

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

Answer

Answer : p divides a


Q13.√2 is rational

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

Answer

Answer : false


Q14.√3 is irrational

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

Answer

Answer : true


Q15.The sum or difference of a rational and irrational number is

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

Answer

Answer : irrational


Q16.The product and quotient of a non zero rational and irrational number is

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

Answer

Answer : irrational


Q17.(5 – √3) is

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

Answer

Answer : irrational


Q18.3√2 is rational

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

Answer

Answer : false


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

Answer

Answer : factorisation is unique


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

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

Answer

Answer : positive integers


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

Answer : both a and b


Q23.The set of natural number contain all the whole numbers except

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

Answer

Answer : 0


Q24.The addition of two natural numbers is the again

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

Answer

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

Answer

Answer : 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

Answer

Answer : associative 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

Answer

Answer : commutative 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

Answer

Answer : distributive property


Q29.The additive identity of set of natural numbers is

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

Answer

Answer : does not exist


Q30.The multiplicative identity of set of natural numbers is

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

Answer

Answer : 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

Answer

Answer : 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

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

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

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

Answer

Answer : integers


Q36.The set of whole numbers does not include

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

Answer

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

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

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

Answer

Answer : set of integers


Q40.Every natural number is a

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

Answer

Answer : both a and b


Q41.Except zero all the whole numbers are

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

Answer

Answer : natural 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

Answer

Answer : rational number


Q43.The rational numbers include

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

Answer

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

Answer : both a and c


Q45.Every integer is a rational number is

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

Answer

Answer : always true


Q46.The only one whole number which is not rational is

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

Answer

Answer : 0


Q47.Every rational number is an integer

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

Answer

Answer : sometimes true


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

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

Answer

Answer : infinitely many


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

Answer

Answer : irrational numbers


Q50.√3 is a

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

Answer

Answer : irrational number


Q51.π is a

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

Answer

Answer : irrational number


Q52.The sum or difference of rational and an irrational number is

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

Answer

Answer : irrational


Q53.The product or quotient of a nonzero rational numbers with an irrational number is

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

Answer

Answer : irrational


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

Answer : both a and b


Q55.Prime numbers are those which are having factors

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

Answer

Answer : one and itself


Q56.1 is a prime number true or false

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

Answer

Answer : false


Q57.0 is the prime number

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

Answer

Answer : false


Q58.0 and 1 are

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

Answer

Answer : neither prime nor composite


Q59.2 is the first and only one_________prime number.

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

Answer

Answer : even


Q60.2,3,5,7,11,13,17… all are

(1) even numbers
(2) composite numbers
(3) prime numbers
(4) odd numbers

Answer

Answer : prime numbers


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