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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
A function whose range is just one elements is called
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One-one function
Constant function
Onto function
Identity function
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Question # 2
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 # 3
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Question # 4
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Question # 5
Power set of difference set N-W is
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Empty set
Infinite set
Singleton set
{0,∅}
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Question # 6
The complement of set A relative to universal set U is the set
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{x / x∈ A∧ x∈ U}
{x / x∉ A∧ x ∈ U}
{x / x∈ A and x ∉ U}
A-U
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Question # 7
The set {-1,1} is
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Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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Question # 8
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 9
The set of real numbers is a subset of
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The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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Question # 10
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Question # 11
Which conjunction is not true ?
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Question # 12
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 # 13
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 14
The number of subset of {0} is
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1
2
3
None
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Question # 15
If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2
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36 +(-32)i
-36+32i
6+(-11)i
0, +(-12)i
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Question # 16
The set { {a,b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 17
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square root function
identity function
linear function
quadratic function
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Question # 18
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Question # 19
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 20
If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called
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1-1 and onto
Bijective
1-1 and into
None of these
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Question # 21
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 22
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 23
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 # 24
Let A and B be two sets. If every element of A is also an element of B then
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Question # 25
If P is a proposition then its negative is denoted by
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Question # 26
If 0 = {1,3,5.......}, then n (0) =
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99
odd integers
Even numbers
Infinite
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Question # 27
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Question # 28
(A∪B)∪C= --------------------------
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A∩B(B∪C)
A∪(B∪C)
A∪(B∩C)
None of these
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Question # 29
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A = C
A = B
B = C
None of these
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Question # 30
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 31
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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