Chapter 2 SETS, FUNCTIONS AND GROUPS mcqs with solution
Chapter 2 SETS, FUNCTIONS AND GROUPS
1)
If x Î L È M, then
A) x Ï L or x ÏM
B) x Ï L or x ÎM
C) x Î L or x Ï M
D) x Î L or xÎ M
2)
Let A = {a, b, c, d} B = {b, c, d}
then A Ç B =
A) {b,
c, d}
B) {a,
b, c}
C) {a,
b, c, d}
D) {a,
c, d}
3)
If x Î B¢ = U – B then
A) x Î B and x Î U
B) x Ï B and x Î U
C) x Ï B and x Ï U
D) x Î B and x Ï U
4)
Let A = (1, 2, 3, 4, 5 …..}, B = {2, 4, 6, 8 ….}
The AÈB is
A) {1,
2, 3}
B) {1,
2, 3, 4, 5, …..}
C) {2,
4, 6, 8, …..}
D) {6,
7, 8, 9}
5)
L È M =
LÇM then L is equal to
A) M
B) L
C) f
D) M¢
6)
Which of the following sets has
only one subset.
A) {Y,
Z}
B) {Y}
C) {0}
D) { }
7)
A Í B
then
A)
A Ç B =
A
B)
A Ç B¢ = A
C)
A – B = A
D)
A – B = B
8)
If x Î L –
M then
A) x Î L and x Î M
B) x Î L and x Ï M
C) x Ï L and x Î M
D) x Ï L and x Ï M
9) Total number of subsets that can be
formed from the set {x, y, z} is
A) 1
B) 2
C) 5
D) 8
10)
If x Î L Ç M then
A) x Î L and x Î M
B) x Î L and x Ï M
C) x Ï L and x Î M
D) x Ï L and x Ï M
11)
Let A and B be any none empty sets
then
AÈ(AÇB) is
A) B Ç A
B) A
C) B
D) A È B
12)
Let A, B, C be any sets. Let A È B = A È C
and
A Ç B =
A Ç C, then B set
is equal to
A) A È B
B) A Ç B
C) A
D) C
13) If S contains n elements then power set of
S, P (s) contains elements. Which are?
A) 2n
B) 4n
C) 5n
D) 6n
14)
A set is a collection of objects
which are
A) well
defined
B) well
defined and distinct
C) identical
D) not
defined
15) The power set of a set S containing six
numbers is the set whose elements are
A) three
subsets of S
B) two
subsets of S
C) five
subsets of S
D) all
possible subsets of S
16)
A is a subset of B if
A) Every
element of A Î B
B) Some
element of A Î B
C) Every
element of A Ï B
D) Every
element of B Î A
17) The complement of set A relative to
universal set U is the set
A) {x/xÎU and x ÎA}
B) {x/xÏU and xÏA}
C) {x/xÏU and x ÎA}
D) {x/xÎU and x Ï A}
18)
If A \ B = A then
A) AÇB = A
B) AÇB = A¢
C) AÇB = B
D) AÇB = f
19)
If B – A = B then
A) AÇB = f
B) AÇB = A
C) AÇB ¹ f
D) AÇB = B
20)
The union of the sets A and B is
defined as
A) A È B = {x/xÎA or
xÎB}
B) A È B = {x/xÏA or
xÎB}
C) A È B = {x/xÏA or
xÏB}
D) A È B = {x/xÎA or
xÏB}
21)
If Q, R are any sets then Q – R =
A) Q –
(QÇR)
B) Q Ç (Q – R)
C) Q +
(Q Ç R)
D) Q –
(Q È R)
22) If A and B are any two sets and A¢ B¢ are
Their compliments relative to the universal set U, the (AÈB)¢ =
A) A¢ÈB¢
B) AÈB
C) A¢ÇB¢
D) AÇB
23)
Difference between two sets A\B is
defined as
A) {x/x Î A L x Î B}
B) {x/x Î A L x Ï B}
C) {x/x Ï A L x Î B}
D) {x/x Ï A L x Ï B}
24)
For union Associative Law is
A) (AÈB) ÈC = AÈ(BÈC)
B) (AÈB) ÈC = AÇ(BÇC)
C) (AÇB) ÈC = AÈ(BÈC)
D) (AÈB) ÈC = A
- (B - C)
25)
The set of odd numbers between 1 and
9 is
A) {1,
3, 5, 7}
B) {3,
5, 7, 9}
C) {1,
3, 5, 7, 9}
D) {3,
5, 7}
26)
The set of rational numbers between
5 and 9 is
A) Finite
B) Infinite
C) {5,
6, 7, 8, 9}
D) {6,
7, 8}
27) If x is a set having 6 elements then the
numbers in P(x) is:
A) 62
B) 6
C) 6(2)
D) 26
28)
If B Í A
then A¢ is subset of
A) A
B) B
C) B¢
D) A È B
29)
The set A Ç (A È B) =
A) A
B) B
C) A È B
D) None
of these
30)
The set A È (A Ç B) =
A) B
B) A
C) A È B
D) None
of these
31) If A and B are any two sets and A¢, B¢ are
their complements relative to the universal set U, then
(A Ç B)¢ =
A) A¢ È B¢
B) A¢ Ç B¢
C) A¢ È B
D) A Ç B¢
32)
If A Í U
then A¢ relative to U
is equal to
A) A – B
B) B – A
C) U – A
D) A – U
33)
The shaded area in the figure
represents the set
A) A Ç E Ç C
B) A È E È C
C) A È E Ç C
D) A Ç E È C
34)
The shaded area in the figure
represents the set:
A) A È E
B) A Ç E
C) A – E
D) E – A
35)
The shade area in the figure
represents the set:
A) A È E
B) A Ç E
C) A – E
D) E – A
36)
The shaded area in the figure
represents the set:
A) A È E
B) A Ç E
C) A – E
D) E – A
37) Well defined collection of distinct
objects is called a __________
A) a
function
B) a set
C) a
real number
D) none
38) A diagram which represents a set is called
_______ diagram.
A) Venn’s
B) Argand
C) Plane
D) None
39) If a set A is the subset of B & A ≠ B,
then A _______ of B.
A) Proper
subset
B) Improper
subset
C) None D) None
40)
Every set is the ________ of itself.
A) proper
subset
B) improper
subset
C) super
set
D) none
41)
The set of real Nos. (points) belonging
to interval
(a, b) is __________
A) finite
set
B) empty
set
C) singleton
set
D) infinite
set
42)
The power set of an empty set is
_________
A) null
set
B) singleton
set
C) super
set
D) none
43)
X / = ________
A) A
B) A /
C) – -
D) X
44) Two set A & B are called overlapping if
A∩B = ________
A) 
B) 
C)
D)
None
45) Which one is always true.
A)
B) 
C) 
D) none
46) Every recurring non terminating decimal
represents
A) Q
B) Q/
C) R
D) none
47) If X & Y are two sets & n (X) =
18, n (Y) = 24, n(XUY) = 40 then n(X I Y) = ________
A) 3
B) 4
C) 6
D) 2
E) 1
48) A real number is always
A) a natural no
B) positive integer
C) Rational number
D) complex number
Chapter
2 SETS, FUNCTIONS AND GROUPS
1)
D
2)
A
3)
B
4)
B
5)
A
6)
D
7)
A
8)
B
9) D
10)
A
11)
B
12)
D
13) A
14)
B
15) D
16)
A
17) D
18)
D
19)
A
20)
A
21)
A
22) C
23)
B
24)
A
25)
D
26)
B
27) D
28)
C
29)
A
30)
B
31) A
32)
C
33)
A
34)
B
35)
D
36)
C
37) B
38) A
39) A
40)
B
41)
D
42)
B
43)
C
44) D
45) B
46) A
47) C
48) D
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