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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers
Question # 1
The set of whole numbers is subset of
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The set on integers
The set of natural numbers
{1, 3, 5, 7, ....}
The set of prime numbers
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Question # 2
The set of natural is a semi group w.r.t
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Addition
Division
Subtraction
None of these
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Question # 3
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 4
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Question # 5
The set R is ______ w.r.t subtraction
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Not a group
A group
No conclusion drawn
Non commutative group
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Question # 6
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Question # 7
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Question # 8
The negation of a number
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a relation
a function
unary operation
binary operation
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Question # 9
Power set of X i.e P(X)..........under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 10
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An empty set
Universal set
A singleton set
None of these
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Question # 11
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4
3
2
1
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Question # 12
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 13
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Question # 14
The graph of a linear function is
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a circle
triangle
a straight line
none of these
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Question # 15
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 16
If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =
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1
12
5
29
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Question # 17
The number of subsets of a set having three elements is
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4
6
8
none of these
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Question # 18
If C={p/p < 18, p is a prime number}, then C =
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{2,3,4,.........17}
{2,4,6,8................16}
{1,3,5,7,9,11,13,15,17}
{3,6,9,12,15}
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Question # 19
The total number of subsets that can be formed out of the set {a, b, c} is
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1
4
8
12
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Question # 20
If A=B, then
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A⊂B and B⊂A
A⊆B and B⊈A
A⊆B and B⊆A
None of these
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Question # 21
If the intersection of two sets is non-empty, but either is a subset of other are called
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Disjoint sets
Over lapping
Equal sets
None of these
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Question # 22
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A
A'
U
U'
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Question # 23
Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b
∈
G. then inverse of a is
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-a
a + 1
-2 -a
None of these
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Question # 24
Power set of difference set N-W is
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Empty set
Infinite set
Singleton set
{0,∅}
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Question # 25
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 26
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 27
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 28
The geometrical representation of a linear function is
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Circle
Parabola
Straight lie
None of these
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Question # 29
If P is a proposition then its negative is denoted by
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Question # 30
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
+-1
0
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Question # 31
G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are
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2, 2, 2
3, 3, 3
2, 2, 4
2, 3, 4
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