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Mathematics MCQs Set-6
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Mathematics MCQs Set-6
1
A={1,2,3}, B={2,3,4}, C={2,3,5}, D={1,3,5,7}. Find (A∪B) ∩ (C∪D).
A
A
B
B
C
C
D
D
2
If A is set of natural numbers, B is set of odd natural numbers and C is set of even natural numbers, then find A-B.
A
A
B
B
C
C
D
B-C
3
If A is set of natural numbers, B is set of odd natural numbers and C is set of even natural numbers, then find B∪C.
A
A
B
B
C
C
D
B-C
4
If A is set of natural numbers, B is set of odd natural numbers and C is set of even natural numbers, then find B∩C.
A
A
B
B
C
C
D
Φ
5
(A∪B) ∩ (B∪A) = __________
A
A
B
B
C
A∪B
D
A∩B
6
(A∩B) ∪ (B∩A) = ______________
A
A
B
B
C
A∪B
D
A∩B
7
If P X Q is an empty set then which of the following is a null set?
A
only P
B
only Q
C
either P or Q
D
both P and Q
8
If (a, b) = (x, y) then___________
A
a=x
B
a=y
C
a=y and b=x
D
a=x and b=y
9
If (x+2, y-3) = (5,7) then find values of x and y.
A
x=3 and y=10
B
x=3 and y=4
C
x=7 and y=4
D
x=7 and y=10
10
Is (a, b) = (b, a)?
A
True
B
False
C
D
11
If P X Q has 10 elements then which is not possible?
A
n(P)=1 and n(Q)=10
B
n(P)=10 and n(Q)=1
C
n(P)=2 and n(Q)=5
D
n(P)=5 and n(Q)=4
12
If P = Q then P X Q = Q X P is true or not?
A
True
B
False
C
D
13
If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set A.
A
{1}
B
{1, 2}
C
{1, a}
D
{a, b, c}
14
If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set B.
A
{1}
B
{1, 2}
C
{1, a}
D
{a, b, c}
15
If set A has 2 elements and set B has 3 elements then how many subsets does A X B have?
A
6
B
8
C
32
D
64
16
Which of the following two sets equal?
A
{1,2,3} and {2,3,4}
B
{1,3,5} and {1,3,5,7}
C
{3,4,7} and {7,4,3}
D
{1,2,7} and {2,7,1,4}
17
Let A be set of prime numbers less than 6 and B be the set of prime factors of 30. Set A and B are ____________
A
Infinite
B
Empty
C
Singleton
D
Equal
18
A={0} and B={}. Are sets A and B are equal?
A
True
B
False
C
D
19
Let X be the set of letters of the word ALLOY and Y be the set of letters of the word LOYAL. Are the sets equal?
A
True
B
False
C
D
20
Which of the sets are equal? X={x : x-4=0 and x is a natural number}, Y={ x : x2=16 and x is a natural number}, Z={x : x>4 and x<16, x is a natural number}
A
X and Y
B
Y and Z
C
X and Z
D
X, Y and Z
21
Which of the following sets are equal? X={x : x is letter of word LIFE}, Y={x : x is letter of the word WIFE}, Z={x : x is letter of the word FILE}
A
X and Y
B
Y and Z
C
X and Z
D
X, Y and Z
22
Equal sets _______ number of elements.
A
Must have same
B
May have same
C
Can’t have same
D
Shouldn’t have different
23
If two sets have equal number of elements, then they ___________
A
Are equal
B
Are not equal
C
May be equal
D
Are finite
24
If A = {1,10,15,17} and B = {1,5,7,8} then which of the following is the correct statement about A and B?
A
“A†and “B†are equal sets
B
“A†and “B†are equivalent sets
C
“A†and “B†are empty sets
D
“A†and “B†are infinite sets
25
Which of the following set is finite?
A
{1,2,3,4,……………………….}
B
{4,7,9}
C
{1,4,9,16,…………………….}
D
{1,8,27,……………………….}
26
The finite set can have ________________ number of elements.
A
only zero
B
only one
C
at least one
D
zero or more but not infinite
27
The set is infinite if it has _______________ number of elements.
A
zero
B
one
C
finite
D
infinite
28
Which of the following is infinite set?
A
Set of days of week
B
Set of points on a line
C
Set of months in a year
D
Set of prime numbers less than 99
29
Set of letters of English alphabet is__________________
A
empty set
B
singleton set
C
finite set
D
infinite set
30
Which of the following is a finite set?
A
Set of natural numbers
B
Set of whole numbers
C
Set of even numbers
D
Set of even prime number
31
Which of the set is singleton set?
A
Set of odd prime numbers
B
Set of even prime numbers
C
Set of odd numbers
D
Set of prime numbers
32
Set {x : x is a natural number and 2x+1=0} is a finite set?
A
True
B
False
C
D
33
Set of solutions of a quadratic equation is finite set.
A
True
B
False
C
D
34
Finite set ______________ empty set.
A
is same as
B
is an
C
is not
D
may or may not
35
Which of the following is an infinite set?
A
A set of girls in a college
B
A set of players in a cricket team
C
A set of points in a Line
D
A set of edges in a square
36
If A = {1,2,3,4,6} and B = {2,3,4} then which one of the following is correct?
A
A is a universal set
B
B is a subset of A
C
B is a superset of A
D
A is a null set
37
If A = {1,2} and B = {1,2,4,8,10} then?
A
A=B
B
A⊆B
C
B⊆A
D
A⊄B
38
If A = {1,3} and B = {1,2,5} then?
A
A⊆B
B
B⊆A
C
Ф⊆A
D
B⊆Ф
39
If A = {2,4} then subsets of A are ___________
A
{{2}, {4}}
B
{{2}, {4}, {2,4}}
C
{Ф, {2}, {4}}
D
{Ф, {2}, {4}, {2,4}}
40
The number of subsets of a set containing 5 elements is?
A
5
B
25
C
32
D
64
41
If A is a set of whole numbers and B is a set of Natural Numbers then choose the correct option.
A
A⊆B
B
B⊆A
C
A=B
D
A and B are finite sets
42
If A⊆B then what is A∩B, where A and B are two sets?
A
A
B
B
C
Null set
D
Universal Set
43
If A⊆B then what is A ∪B, where A and B are two sets?
A
A
B
B
C
Null Set
D
Universal Set
44
If A⊆B and B⊆A then A=B.
A
True
B
False
C
D
45
Let set A = {1, 2} and C be {3, 4} then A X B (Cartesian product of set A and B) is?
A
{1, 2, 3, 4}
B
{(1, 3),(2, 4)}
C
{(1, 3), (2, 4), (1, 4), (2, 3)}
D
{(3, 1), (4, 1)}
46
If set A has 4 elements and B has 3 elements then set n(A X B) is?
A
12
B
14
C
24
D
7
47
Which of the following statements regarding sets is false?
A
A X B = B X A
B
A X B ≠B X A
C
n(A X B) = n(A) * n(B)
D
All of the mentioned
48
If n(A X B) = n(B X A) = 36 then which of the following may hold true?
A
n(A)=2, n(B)=18
B
n(A)=9, n(B)=4
C
n(A)=6, n(b)=6
D
None of the mentioned
49
If C = {1} then C X (C X C) = (C X C) X C the given statement is true or false.
A
True
B
False
C
D
50
If A ⊆ B then A X C ⊆ B X C the given statement is true or false.
A
True
B
False
C
D
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