Real Numbers MCQ Questions Class 10 Maths Chapter 1
NCERT MCQ Questions for Class 10 Maths Chapter 1 Real Numbers. Real Numbers MCQ Questions with Answers from Class 10 Maths.
Real Numbers MCQ Questions Class 10 Maths Chapter 1
Real Numbers Multiple Choice Questions with Answers Class 10 Maths Chapter 1 PDF is available.
1) If there are two positive integers a and b then there exists unique integers q and r satisfying
a) a= bq + r
b) a= bq – r
c) a= br – q
d) a= br – q
Ans: a) bq + r
2) The prime factorisation of natural numbers is unique except
a) For the order of its factors
b) Not for the order of its factors
c) Both a and b
d) None
Ans: a) for the order of its factors
3) The product of the smallest power of each common prime factor in the numbers is the
a) LCM
b) HCF
c) Both a and b
d) None
Ans: b) HCF
4) The product of the greatest power of each prime factor involved in the numbers is the
a) HCF
b) LCM
c) Both a and b
d) None
Ans: b) LCM
5) For any two positive integers a and b
a) HCF (a, b) * LCM (a, b) = a/b
b) HCF (a, b) * LCM (a, b) = a*b
c) Both a and b
d) None
Ans: b) HCF (a, b) * LCM (a, b) = a*b
6) The HCF of 96 and 404 is
a) 2
b) 4
c) 6
d) 8
Ans: b) 4
7) The LCM of 96 and 404 is
a) 96
b) 404
c) 9696
d) 969
Ans: c) 9696
8) The HCF of 6, 72 and 120 is
a) 2
b) 3
c) 6
d) 12
Ans: c) 6
9) The LCM of 6, 72 and 120 is
a) 72
b) 120
c) 360
d) None
Ans: c) 360
10) √2, √3, √15, are the
a) Rational numbers
b) Irrational number
c) Prime numbers
d) Composite numbers
Ans: b) irrational numbers
11) Π is the
a) Rational number
b) Irrational number
c) Prime numbers
d) Composite numbers
Ans: b) irrational number
12) Let p be the prime number, if p divides a2then (a is the positive integer)
a) a divides p
b) p divides a
c) Both a and b
d) None
Ans: b) p divides a
13) √2 is rational
a) True
b) False
c) Both a and b
d) Not confirm
Ans: b) false
14) √3 is irrational
a) True
b) False
c) Both a and b
d) None
Ans: a) true
15) The sum or difference of a rational and irrational number is
a) Rational
b) Irrational
c) Both a and b
d) Not confirm
Ans: b) irrational
16) The product and quotient of a non zero rational and irrational number is
a) Rational
b) Irrational
c) Both a and b
d) None
Ans: b) irrational
17) (5 – √3) is
a) Rational
b) Irrational
c) Both a and b
d) Not confirm
Ans: b) irrational
18) 3√2 is rational
a) True
b) False
c) Both a and b
d) None
Ans: b) false
19) Every composite number can be expressed as a product of primes and this
a) Factorisation is not unique
b) Factorisation is unique
c) Both a and b
d) None
Ans: b) factorisation is unique
20) The set of natural numbers denoted by N is
a) {0, 1, 2, 3, 4,}
b) {…. -2, -1, 0, 1, 2, 3, ….}
c) {1, 2, 3, 4, ….}
d) {2, 4, 6, 8,}
Ans: c) {1, 2, 3, 4,}
21) Set of natural numbers contains all the _______ integers
a) positive integers
b) negative integers
c) both a and b
d) all the whole numbers
Ans: a) positive integers
22) The set of natural numbers is the proper subset of
a) set of whole numbers
b) set of integers
c) both a and b
d) none
Ans: c) both a and b
23) The set of natural number contain all the whole numbers except
a) 1
b) 0
c) both a and b
d) none
Ans: b) 0
24) The addition of two natural numbers is the again____
a) natural number
b) positive integer
c) both a and b
d) zero
Ans: c) both a and b
25) The addition of two natural numbers is also natural number which is called as
a) associative property
b) commutative property
c) closure property
d) distributive property
Ans: c) closure property
26) The addition and multiplication are associative in case of natural numbers is the property of
a) closure property
b) associative property
c) commutative property
d) distributive property
Ans: b) associative property
27) 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
a) closure property
b) commutative property
c) associative property
d) distributive property
Ans: b) commutative property
28) the property in which natural numbers are distributed over addition is called as
a) distributive property
b) commutative property
c) closure property
d) associative property
Ans: a) distributive property
29) The additive identity of set of natural numbers is
a) 1
b) 0
c) both 0 and 1
d) does not exist
Ans: d) does not exist
30) The multiplicative identity of set of natural numbers is
a) 0
b) 1
c) both 0 and 1
d) does not exist
Ans: b) 1
31) The set of whole numbers is the set of natural numbers which includes also
a) negative integers
b) rational numbers
c) zero
d) none of the above
Ans: c) zero
32) The set whole numbers are
a) {1, 2, 3, 4,}
b) {0, 1, 2, 3, 4,}
c) {…-2, -1, 0, 1, 2, …}
d) {1, 3, 5, 7, …}
Ans: b) {0, 1, 2, 3, 4, …}
33) The numbers which does not includes to set of whole numbers are
a) 1/3, 1/5
b) 2.3, 4.5
c) both a and b
d) natural numbers
Ans: c) both a and b
34) All the natural numbers are
a) positive integers
b) whole numbers
c) negative integers
d) both a and b
Ans: d) both a and b
35) The set of whole numbers is the proper subset of
a) integers
b) natural numbers
c) rational numbers
d) both a and b
Ans: a) integers
36) The set of whole numbers does not include
a) negative integers
b) fractions
c) decimals
d) a, b and c
Ans: d) a, b and c
37) The set of natural numbers is the subset of
a) whole numbers
b) integers
c) rational numbers
d) both a and b
Ans: d) both a and b
38) The set of natural numbers also called as
a) set of integers
b) set of whole numbers
c) set of rational numbers
d) set of counting numbers
Ans: d) set of counting numbers
39) the set of natural numbers N and set of whole numbers W are the proper subsets of
a) set of rational numbers
b) set of prime numbers
c) set of composite numbers
d)set of integers
Ans: d) set of integers
40) Every natural number is a
a) whole number
b) positive integer
c) rational number
d) both a and b
Ans: d) both a and b
41) Except zero all the whole numbers are
a) integers
b) natural numbers
c) prime numbers
d) odd numbers
Ans: b) natural numbers
42) 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
a) irrational number
b) rational number
c) prime number
d) even number
Ans: b) rational number
43) The rational numbers include
a) whole numbers
b) natural numbers
c) integers
d) a, b and c
Ans: d) a, b and c
44) The rational numbers are also called as
a) decimals
b) composite numbers
c) fractions
d) both a and c
Ans: d) both a and c
45) Every integer is a rational number is
a) always true
b) always false
c) both a and b
d) can’t say
Ans: a) always true
46) The only one whole number which is not rational is
a) 1
b) 3
c) 0
d) both a and c
Ans: c) 0
47) Every rational number is an integer
a) always true
b) always false
c) sometimes true
d) can’t say
Ans: c) sometimes true
48) There are _______ rational numbers between any two given rational numbers.
a) infinitely many
b) few
c) five
d) can’t say
Ans: a) infinitely many
49) 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
a) rational numbers
b) irrational numbers
c) both a and b
d) none
Ans: b) irrational numbers
50) √3 is a
a) rational number
b) irrational number
c) both a and b
d) none
Ans: b) irrational number
51) π is a
a) rational number
b) irrational number
c) both a and b
d) none
Ans: b) irrational number
52) The sum or difference of rational and an irrational number is
a) rational
b) irrational
c) both a and b
d) none
Ans: b) irrational
53) The product or quotient of a nonzero rational numbers with an irrational number is
a) rational
b) irrational
c) a and b
d) none
Ans: b) irrational
54) If we add, subtract, multiply or divide two irrationals the result may be
a) rational
b) irrational
c) both a and b
d) none
Ans: c) both a and b
55) Prime numbers are those which are having factors
a) one
b) itself
c) one and itself
d) none
Ans: c) one and itself
56) 1 is a prime number true or false
a) true
b) false
c) both a and b
d) none
Ans: b) false
57) 0 is the prime number
a) true
b) false
c) both a and b
d) none
Ans: b) false
58) 0 and 1 are
a) neither prime nor composite
b) only not prime
c) only not composite
d) none
Ans: a) neither prime nor composite
- In case you have missed:- Previous Chapter MCQ Questions
59) 2 is the first and only one _____prime number.
a) odd
b) even
c) both and b
c) composite
Ans: b) even
60) 2,3,5,7,11,13,17… all are
a) composite numbers
b) even numbers
c) odd numbers
d) prime numbers
Ans; d) prime numbers
61) 4,6,8,9, 10, all are
a) prime numbers
b) even numbers
c) odd numbers
d) composite numbers
Ans: d) composite numbers
62) The first and smallest composite number is
a) 2
b) 1
c) 0
d) 4
Ans: 4
63) Except 2 all other prime numbers are
a) even
b) odd
c) composite
d) both a and b
Ans: b) odd
64) All the even numbers which are not the prime numbers are
a) even prime numbers
b) composite numbers
c) even composite numbers
d) both and b
Ans: c) even composite numbers
65) 4,6,8,10,12,14, 16.all are
a) odd composite numbers
b) even numbers
c) even composite numbers
d) both b and c
Ans: d) both b and c
66) 9,15,21,25, 27, all are
a) odd composite numbers
b) odd numbers
c) even numbers
d) both a and b
Ans: d) both a and b
67) The numbers except 0, 1 and 2 which are having unit digit as 0,2,4,6 and 8 are the
a) prime numbers
b) odd numbers
c) even numbers
d) composite numbers
Ans: d) composite numbers
68) Co-prime numbers are those which are having GCF as
a) 1 and 2
b) 1 only
c) 2 only
d) 1,2,3
Ans: b) 1 only
69) (4,7) is a pair of Co-prime number
a) true
b) here GCD of 4 and 7 is one, hence Co-prime
c) not Co-prime
d) none
Ans: b) here GCD of 4 and 7 is one, hence Co-prime
70) 1 is neither prime nor composite number but it forms the Co-prime number with
a) even numbers
b) odd numbers
c) every other number
d) none
Ans: c) every other number
71) Any two prime numbers form the pair of
a) prime numbers
b) even numbers
c) Co-prime number
d) none
Ans: c) Co-prime number
72) Any two consecutive numbers are always
a) even numbers
b) prime numbers
c) composite numbers
d) coprime number
Ans: d) coprime number
73) The even number pair forms the Co-prime number
a) true
b) may be true or false
c) always false
d) can’t say
Ans: c) always false
74) (2,4) is coprime pair
a) yes
b) not because 2 is GCD
c) false
d) none
Ans: b) not because 2 is GCD
75) In 56.45 the decimal part is
a) 56
b) 0.45
c) 56.45
d) both a and b
Ans: b) 0.45
76) In 56.45 the whole number part is
a) 56.00
b) 0.45
c) 56.45
d) a and b
Ans: a) 56.00
77) In the number 3456 the place value of 6 is
a) 60
b) 600
c) 0.6
d) 6
Ans: d) 6
78) In the number 3456 the place value of 5 is
a) 50
b) 500
c) 0.5
d) 0.05
Ans: a) 50
79) In the number 3456 the place value of 4 is
a) .004
b) 0.4
c) 4
d) 400
Ans: d) 400
80) In the number 3456 the place value of 3 is
a) 3000
b) 300
c) 30
d) 3
Ans: a) 3000
81) In the number 8947.321 the place value of 3 is
a) 0.003
b) 0.03
c) 0.3
d) 3
Ans: c) 0.3
82) In the number 8947.321 the place value of 2 is
a) 0.002
b) 0.02
c) 0.2
d) 2
Ans: b) 0.02
83) In the number 8947.321 the place value of 1 is
a) 0.001
b) 0.01
c) 0.1
d) 1
Ans: a) 0.001
84) 0.4, 0.40, 0.400, 0.4000 are the
a) decimals
b) fractions
c) equivalent decimals
d) none
Ans: c) equivalent decimals
85) 12, 12.0, 12.00, 12.000 are the
a) fractions
b) decimals
c) both a and b
d) equivalent decimals
Ans: d) equivalent decimals
86) The fractions in which numerator is greater or equal to denominator are called as
a) proper fractions
b) fractions
c) decimals
d) improper fractions
Ans: d) improper fractions
87) 8/5 is a
a) rational
b) irrational
c) fraction
d) improper fractions
Ans: d) improper fractions
88) 4 is also the
a) proper fractions
b) improper fractions
c) fractions
d) both a and b
Ans: b) improper fractions
89) The fractions which are written in the form of whole numbers and proper fractions are the
a) improper fractions
b) proper fractions
c) decimals
d) mixed fractions
Ans: d) mixed fractions
90) The numbers which are the positive integers and which can be expressed as the sum of their proper divisors are called as
a) prime numbers
b) composite numbers
c) perfect number
d) coprime number
Ans: c) perfect number
91) 6 is the perfect number because
a) 6 has divisors 1,2,3,6& (1+2+3+6) =12=2*6
b) 6 has divisors 1,2,3,6
c) 6 is the positive integers
d) both b and c
Ans: a) 6 has divisors 1,2,3,6 & (1+2+3+6) =12= 2*6
92) 28 is the perfect number.
a) true
b) false
c) not confirm
d) a and b
Ans: a) true
93) All prime numbers are
a) natural numbers
b) odd numbers
c) even numbers
d) composite numbers
Ans: a) natural numbers
94) If we divide any prime by other number then remainder is
a) zero
b) not zero
c) other than zero
d) not defined
Ans: b) not zero
95) The lowest even prime number is
a) 3
b) 1
c) 2
d) 5
Ans: c) 2
96) 97 is the
a) prime number
b) odd number
c) even number
d) both a and b
Ans d) both a and b
97) The numbers which are written in the form of (6n+1) or (6n-1) are always
a) odd numbers
b) even numbers
c) composite numbers
d) prime numbers
Ans: d) prime numbers
98) The form (p, p+2, p+6) or (p, p+4, p+6) shows the
a) prime numbers
b) coprime number
c) prime triplet
d) none
Ans: c) prime triplet
99) (95,7,11) is the
a) prime numbers
b) composite numbers
c) coprime number
d) prime triplet
Ans: d) prime triplet
100) (2,3,5) is the
a) prime numbers
b) coprime number
c) prime triplet
d) not prime triplet
Ans: d) not prime triplet
101) The fractions in which numerator is less than denominator is called as
a) improper fractions
b) fractions
c) proper fractions
d) rationales
Ans: c) proper fractions
102) 5/8 is the
a) rational number
b) irrational number
c) proper fractions
d) improper fractions
Ans: c) proper fractions
103) The decimal value of proper fractions is always
a) greater than 1
b) less than 1
c) equal to 1
d) not equal to 1
Ans: b) less than 1
104) The reciprocal of 2 is
a) -2
b) ½
c) 2/2
d) none
b) ½
105) The reciprocal of 3/5 is
a) -3/5
b) +3/5
c) 5/3
d) 3/5
Ans: b) +3/5
106) The reciprocals of proper fractions are always
a) proper fractions
b) fractions
c) improper fractions
d) both a and b
Ans: c) improper fractions
107) The reciprocals of improper fractions are always
a) proper fractions
b) improper fractions
c) fractions
d) none
Ans: a) proper fractions
108) The reciprocal of 0.5 is
a) ½
b) -0.5
c) 2
d) -2
Ans: c) 2
109) The reciprocal of 0.3 is
a) -0.3
b) +0.3
c) +3
d) -3
Ans: c) +3
110) The reciprocal of number -5 is
a) +5
b) -1/5
c) +1/5
d) -5
Ans: b) -1/5
111) The prime numbers which are having difference 2 between them are called as
a) Coprime number
b) prime numbers
c) twin prime numbers
d) coprime triplet
Ans: c) twin prime numbers
112) (3,5) is the
a) coprime pair
b) prime numbers
c) twin prime pairs
d) none
Ans: c) twin prime pair
113) There is always a one ______ number between the numbers forming twin prime pairs
a) prime number
b) composite number
c) even number
d) odd number
Ans: b) composite number
114) The sum of prime numbers forming twin prime pairs is divisible by
a) 6
b) 8
c) 9
d) 12
Ans: d) 12
115) (5,7) is the
a) coprime pair
b) composite numbers
c) twin prime pair
d) non prime pair
Ans: c) twin prime pair
116) Whole number is the set of natural numbers which also includes
a) non positive integers
b) negative integers
c) 0
d) both a and b
Ans: c) 0
- In case you have missed:- Next Chapter MCQ Questions