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ECAT Pre General Science Mathematics Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
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 # 2
if A = (x/x€ Q˄ 0 < x < 1}, the A is
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Infinite set
Finite set
Set of rational numbers
Set of real numbers
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Question # 3
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 4
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 # 5
A∪(A∪B)= --------------------
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B
A
A∪B
None of these
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Question # 6
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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 # 7
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 # 8
If a set S contains "n" elements then P (S) has ...... number of elements
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2
n
2
2n
2 . n
n
2
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Question # 9
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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Question # 10
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Question # 11
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 # 12
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 13
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 # 14
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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Question # 15
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≠ C
B = C
A = B
A≠ B
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Question # 16
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 17
The set (Z, +) forms a group
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Forms a group w.r.t addition
Forms a group w.r.t multiplication
Non commutative group w.r.t multiplication
Doesn't form a group
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Question # 18
The multiplicative inverse of x such that x = 0 is
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-x
Does not exist
1/x
±1
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Question # 19
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 # 20
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 21
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Biconditional
Implication
Antecedent
Hypothesis
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Question # 22
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 23
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 24
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A
A'
U
None of these
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Question # 25
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a constant function
linear function
quadratic funtion
none of these
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Question # 26
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 # 27
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 28
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 # 29
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 30
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 # 31
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
0
Does not exist
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