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ECAT Mathematics Chapter 23 MCQs With Answers
Question # 1
If the intersection of two sets is non-empty, but either is a subset of other are called
Choose an answer
Disjoint sets
Over lapping
Equal sets
None of these
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Question # 2
Choose an answer
A
A'
U
A A'
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Question # 3
Multiplicative inverse of "1" is
Choose an answer
+- 1
0
1
None of these
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Question # 4
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 # 5
Which of the following sets is finite
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The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
The set of real numbers between 0 and 1
The set of rational numbers between 0 and 1
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Question # 6
Which of the following has the same value as i113
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i
-1
-i
1
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Question # 7
Choose an answer
A onto B
both a & c
A into B
none of these
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Question # 8
If A⊆ B, and B is a finite set, then
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n (a) < n(B)
n(B)<(A)
n(A)≤ n (B)
n(A)≥ n(B)
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Question # 9
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 # 10
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 # 11
Choose an answer
A
A'
U
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Question # 12
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
Choose an answer
A = B
B = C
A≠ C
A ≠ B
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Question # 13
Choose an answer
-x
Infinite set
{-4, 4}
None of these
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Question # 14
To each element of a group there corresponds ______ inverse element
Choose an answer
Two
One
No
Three
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Question # 15
The statement that a group can have more than one identity elements is
Choose an answer
True
False
Fallacious
Some times true
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Question # 16
A function whose range is just one element is called
Choose an answer
One-one function
Constant function
Onto function
Identity function
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Question # 17
The multiplicative inverse of x such that x = 0 is
Choose an answer
-x
does not exist
1/x
0
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Question # 18
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Question # 19
The contra positive of p → q is
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q → p
~q→~q
~p→~q
None of these
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Question # 20
If A∩B=B, then n(A∩B) is equal to
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n(a)
n(a)+n(c)
n(c)
None of these
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Question # 21
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
Choose an answer
-a
a +1
-1-a
None of these
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