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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
(A∪B)∪C= --------------------------
Choose an answer
A∩B(B∪C)
A∪(B∪C)
A∪(B∩C)
None of these
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Question # 2
The set of first elements of the ordered pairs in a relation is called its
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domain
range
relation
function
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Question # 3
If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =
Choose an answer
1
12
5
29
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Question # 4
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 # 5
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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Question # 6
The identity element of a set X with respect to intersection in P(x) is
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X
Does not exist
∅
None of these
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Question # 7
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 # 8
If P is a proposition then its negative is denoted by
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Question # 9
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 10
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 11
The logic in which every statement is regarded as true or false and no other possibility is called
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Aristotelian login
Inductive logic
Non-Aristotelian logic
None of these
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Question # 12
{x|x∈R∧x≠x} is a
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Infinite set
Null set
Finite set
None of these
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Question # 13
Choose an answer
Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 14
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Question # 15
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 # 16
A function in which the second elements of the order pairs are distinct is called
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Onto function
One-one function
Identity function
Inverse function
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Question # 17
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
+-1
0
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Question # 18
If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be
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Improper subset of B
Super set of B
Proper subset of B
None of these
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Question # 19
The set of even prime numbers is
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(2,4,6,8,10}
{2,4,6,8,10,12}
{1,3,5,7,9}
{2}
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Question # 20
The set { {a,b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 21
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 22
Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =
Choose an answer
4
3
2
1
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Question # 23
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 24
The set of real numbers is a subset of
Choose an answer
The set of natural numbers
The set of rational numbers
The set of integers
The set of complex numbers
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Question # 25
If a = {2m/2m < 9 ,m€ p} , the (n A) =
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{2,3,4,5,6,7,8}
{2,4,6,8............16}
{ 4, 6}
{2,3,5,7}
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Question # 26
If D = {a} , the P(D) =
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{a}
∅
{∅,{a}}
{∅,a}
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Question # 27
The set of complex numbers forms a group under the binary operation of
Choose an answer
Addition
none of these
Division
Subtraction
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Question # 28
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 29
Which of the following sets in infinite
Choose an answer
The set of students of your class
The set of all schools in Pakistan
The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
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Question # 30
If B⊆ A, then complement of B in A is = -----------------------
Choose an answer
A-B
A∩B
B-A
A∪B
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Question # 31
The set {-1, 1} is
Choose an answer
Group under the multiplication
Group under addition
Does not form a group
Contains no identity element
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