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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =
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5
{-3,-2,-1,0,1,2,3,4,5,6}
8
9
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Question # 2
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none of these
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Question # 3
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Question # 4
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 5
Which of the following is the subset of all sets?
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Question # 6
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Question # 7
Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b
∈
G. then inverse of a is
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-a
a + 1
-2 -a
None of these
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Question # 8
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 # 9
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Singleton set
A set with two points
Empty set
None of these
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Question # 10
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 # 11
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None of these
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Question # 12
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a-b=ab
ab=a
a+b=ab
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Question # 13
The set of the first elements of the ordered pairs forming a relation is called its
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Function on B
Range
Domain
A into B
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Question # 14
For any set B, BUB' is
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Is set B
Set B'
Universal set
None of these
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Question # 15
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
+-1
0
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Question # 16
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 # 17
A - B = ______
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Question # 18
{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 # 19
Empty set is
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Not the member of real numbers
Infinite set
Finite set
Not subset of every set
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Question # 20
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 # 21
The set of natural numbers is a subset of
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{1, 2, 3, .... 100}
The set of whole numbers
{2, 4, 6, 8, .....}
None of these
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Question # 22
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 # 23
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Question # 24
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 # 25
The function f{(x, y) | y = ax
2
+ bx + c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 26
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 # 27
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 # 28
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 29
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 # 30
A conditional "if p then q" is denoted by
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Question # 31
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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