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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
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 # 2
The many subset can be formed from the set {a,b,c,d}
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8
4
12
16
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Question # 3
The statement that a group can have more than one identity elements is
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True
False
Fallacious
Some times true
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Question # 4
Let A and B be two sets. If every element of A is also an element of B then
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Question # 5
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A
B
A'
None of these
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Question # 6
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-x
Infinite set
{-4, 4}
None of these
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Question # 7
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 8
The function {f(x,y)|y = ax2 +bx +c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 9
For any set B,B∪B' is
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Is set B
Set B'
Universal set
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Question # 10
If A and B are two sets then any subset R of B x A is called
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relation on A
relation on B
relation from A to B
relation from B to A
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Question # 11
If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of
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Irrational numbers
Even numbers
Rational numbers
Whole numbers
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Question # 12
Under multiplication, solution set of is
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Groupoid
Abelian group
Semi group
All of these
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Question # 13
The multiplicative inverse of x such that x = 0 is
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-x
does not exist
1/x
0
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Question # 14
(A ∩ B)c =
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A∩ B
(A ∪ B)c
Ac∪Bc
Φ
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Question # 15
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A
B
U
None of these
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Question # 16
A = B if
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A is equivalent to B
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Question # 17
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 # 18
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 # 19
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1
12
5
29
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Question # 20
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Evert element of A is in B
Every element of B is in A
Every element of A is in B'
Every element of A is in A
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Question # 21
What is the number of elements of the power set of { }
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0
1
2
3
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Question # 22
{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 # 23
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A = B
B = C
A = C
None of these
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Question # 24
If A ⊆ B then A ∪ B is
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A
B
A'
A ∩B
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Question # 25
If there is one-one correspondence between A and B, then we write.
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A = B
A⊆ B
A⊇ B
A ∼ B
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Question # 26
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A
A'
U
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Question # 27
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 28
If S = {3,6,9,12.......}, then
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S = Four multiples of 3
S = Set of even numbers
S = Set of prime numbers
S = All multiples of 3
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Question # 29
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 30
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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