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

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

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

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

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

Q6.The HCF of 96 and 404 is

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

Q7.The LCM of 96 and 404 is

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

Q8.The HCF of 6, 72 and 120 is

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

Q9.The LCM of 6, 72 and 120 is

(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

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

Q13.√2 is rational

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

Q14.√3 is irrational

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

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

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

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

Q17.(5 – √3) is

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

Q18.3√2 is rational

(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, ….}

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

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

(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

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, …}

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

Q34.All the natural numbers are

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

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

Q37.The set of natural numbers is the subset of

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

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

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

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

Q44.The rational numbers are also called as

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

Q45.Every integer is a rational number is

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

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

(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

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

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

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

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

Q55.Prime numbers are those which are having factors

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

Q56.1 is a prime number true or false

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

Q57.0 is the prime number

(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

Q59.2 is the first and only one_________prime number.

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

Q60.2,3,5,7,11,13,17… all are

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