Number Systems MCQ Questions Class 9 Maths Chapter 1
Chapter 1
Number Systems
1) 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,…}
2) 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
3) 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
4) The set integers contains all the whole numbers except
a) 1
b) 0
c) both a and b
d) none
Ans: 0
5) 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
6) 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
7) The addition and multiplication is 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
8) 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
9) 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
10) 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
11) 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
12) 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
13) The set whole numbers is
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, …}
14) 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
15) 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
16) 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
17) The set of whole numbers does not includes
a) negative integers
b) fractions
c) decimals
d) a, b and c
Ans: d) a, b and c
17) 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
18) 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
19) 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
20) 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
21) Except zero all the whole numbers are
a) integers
b) natural numbers
c) prime numbers
d) odd numbers
Ans: b) natural numbers
22) 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
23) The rational numbers includes
a) whole numbers
b) natural numbers
c) integers
d) a, b and c
Ans: d) a, b and c
24) 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
25) 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
26) The only one whole number which is not rational is
a) 1
b) 3
c) 0
d) both a and c
Ans: c) 0
27) Every rational number is an integer
a) always true
b) always false
c)sometimes true
d) can’t say
Ans: c) sometimes true
28) 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
29) The numbers 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
30) √3 is a
a) rational number
b) irrational number
c) both a and b
d) none
Ans: b) irrational number
31) π is a
a) rational number
b) irrational number
c) both a and b
d) none
Ans: b) irrational number
32) 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
33) 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
34) 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
35) am*an =
a) amn
b) a(m+n)
c) a(m-n)
d) a(m/n)
Ans: b) a(m+n)
36) (am)n =
a) a(m-n)
b) a(m+n)
c) a(mn)
d) a(m/n)
Ans: c) a(mn)
37) am/an =
a) a(m+n)
b) a(m-n)
c) a(m/n)
d) a(mn)
Ans: b) a(m-n)
38) am*bm=
a) (ab)m
b) am – bm
c) am + bm
d) (a/b)m
Ans: a) (ab)m
39) Prime numbers are those which are having factors
a) one
b) itself
c) one and itself
d) none
Ans: c) one and itself
40) 1 is a prime number true or false
a) true
b) false
c) both a and b
d) none
Ans: b) false
41) 0 is the prime number
a) true
b) false
c) both a and b
d) none
Ans: b) false
42) 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
43) 2 is the first and only one _____prime number.
a) odd
b) even
c) both and b
c) composite
Ans: b) even
44) 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
45) 4,6,8,9,10,…all are
a) prime numbers
b) even numbers
c) odd numbers
d) composite numbers
Ans: d) composite numbers
46) The first and smallest composite number is
a) 2
b) 1
c) 0
d) 4
Ans: 4
47) Except 2 all other prime numbers are
a) even
b) odd
c) composite
d) both a and b
Ans: b) odd
48) 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
49) 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
50) 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
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51) 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
52) 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
53) (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
54) 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
55) Any two prime numbers forms the pair of
a) prime numbers
b) even numbers
c) Co-prime number
d) none
Ans: c) Co-prime number
56) Any two consecutive numbers are always
a) even numbers
b) prime numbers
c) composite numbers
d) coprime number
Ans: d) coprime number
57) 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
58) (2,4) is coprime pair
a) yes
b) not because 2 is GCD
c) false
d) none
Ans: b) not because 2 is GCD
59) In 56.45 the decimal part is
a) 56
b) 0.45
c) 56.45
d) both a and b
Ans: b) 0.45
60) 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
61) In the number 3456 the place value of 6 is
a) 60
b) 600
c) 0.6
d) 6
Ans: d) 6
62) In the number 3456 the place value of 5 is
a) 50
b) 500
c) 0.5
d) 0.05
Ans: a) 50
63) In the number 3456 the place value of 4 is
a) .004
b) 0.4
c) 4
d) 400
Ans: d) 400
64) In the number 3456 the place value of 3 is
a) 3000
b) 300
c) 30
d) 3
Ans: a) 3000
65) 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
66) 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
67) 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
68) 0.4, 0.40, 0.400, 0.4000 are the
a) decimals
b) fractions
c) equivalent decimals
d) none
Ans: c) equivalent decimals
69) 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
70) 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
71) 8/5 is a
a) rational
b) irrational
c) fraction
d) improper fractions
Ans: d) improper fractions
72) 4 is also the
a) proper fractions
b) improper fractions
c) fractions
d) both a and b
Ans: b) improper fractions
73) 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
74) 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
75) 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
76) 28 is the perfect number.
a) true
b) false
c) not confirm
d) a and b
Ans: a) true
77) All prime numbers are
a) natural numbers
b) odd numbers
c) even numbers
d) composite numbers
Ans: a) natural numbers
78) 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
79) The lowest even prime number is
a) 3
b) 1
c) 2
d) 5
Ans: c) 2
80) 97 is the
a) prime number
b) odd number
c) even number
d) both a and b
Ans d) both a and b
81) 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
82) 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
83) (5,7,11) is the
a) prime numbers
b) composite numbers
c) coprime number
d) prime triplet
Ans: d) prime triplet
84) (2,3,5) is the
a) prime numbers
b) coprime number
c) prime triplet
d) not prime triplet
Ans: d) not prime triplet
85) The fractions in which numerator is less than denominator are called as
a) improper fractions
b) fractions
c) proper fractions
d) rationales
Ans: c) proper fractions
86) 5/8 is the
a) rational number
b) irrational number
c) proper fractions
d) improper fractions
Ans: c) proper fractions
87) 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
88) The reciprocal of 2 is
a) -2
b) ½
c) 2/2
d) none
b) ½
89) The reciprocal of 3/5 is
a) -3/5
b) +3/5
c) 5/3
d) 3/5
Ans: b) +3/5
90) The reciprocals of proper fractions are always
a) proper fractions
b) fractions
c) improper fractions
d) both a and b
Ans: c) improper fractions
91) The reciprocals of improper fractions are always
a) proper fractions
b) improper fractions
c) fractions
d) none
Ans: a) proper fractions
92) The reciprocal of 0.5 is
a) ½
b) -0.5
c) 2
d) -2
Ans: c) 2
93) The reciprocal of 0.3 is
a) -0.3
b) +0.3
c) +3
d) -3
Ans: c) +3
94) The reciprocal of number -5 is
a) +5
b) -1/5
c) +1/5
d) -5
Ans: b) -1/5
95) 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
96) (3,5) is the
a) coprime pair
b) prime numbers
c) twin prime pairs
d) none
Ans: c) twin prime pair
97) 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
98) The sum of prime numbers forming twin prime pairs is divisible by
a) 6
b) 8
c) 9
d) 12
Ans: d) 12
99) (5,7) is the
a) coprime pair
b) composite numbers
c) twin prime pair
d) non prime pair
Ans: c) twin prime pair
100) 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
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