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ECAT Mathematics Chapter 23 MCQs With Answers
Question # 1
G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are
Choose an answer
2,2,2
3,3,3
2,2,4
2,3,4
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Question # 2
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 # 3
If B-A≠φ , then n(B-A) is equal to
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n(a)+n(c)
n(c)-n(a)
n(a)-n(c)
None of these
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Question # 4
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 # 5
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 # 6
The set {x|x∈N∧x-4=0} in tabular form is
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{-4}
{0}
{}
None of these
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Question # 7
The negation of a number
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a relation
a function
unary operation
binary operation
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Question # 8
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 # 9
Which of the following has the same value as i113
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i
-1
-i
1
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Question # 10
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 11
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 12
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 # 13
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Question # 14
A conditional "if p then q" is denoted by
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Question # 15
The set X is
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Proper Subset of X
Not A subset of X
Improper Subset of X
None of these
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Question # 16
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Question # 17
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 # 18
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 # 19
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 # 20
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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