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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers
Question # 1
A = B iff
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All elements of A also the elements of B
A and B should be singleton
A and B have the same number of elements
If both have the same element
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Question # 2
A conditional is regarded as false only when the antecedent is true and consequent is
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True
False
Known
Unknown
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Question # 3
The number of subset of {0} is
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1
2
3
None
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Question # 4
The set of the first elements of the orders pairs forming a relation is called its
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Relation in B
Range
Domain
Relation In A
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Question # 5
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A
A'
U
U'
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Question # 6
If E = { } , then P(E)
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∅
{ }
{(2),(4),(6)....}
(∅)
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Question # 7
A monoid (G, *) is said to be group if
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have identity element
is commutative
have inverse of each element
None of these
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Question # 8
Which of the following is the subset of all sets?
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Question # 9
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 10
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n(A)
n(B)
0
1
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Question # 11
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A
B
U
None of these
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Question # 12
The logic in which every statement is regarded as true or false and no other possibility is called
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Aristotelian login
Inductive logic
Non-Aristotelian logic
None of these
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Question # 13
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 # 14
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none of these
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Question # 15
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An empty set
Universal set
A singleton set
None of these
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Question # 16
Write down the power set of {9, 11}
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Question # 17
A = B if
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A is equivalent to B
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Question # 18
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 19
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 # 20
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A
B
A'
None of these
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Question # 21
The complement of set A relative to universal set U is the set
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Question # 22
Which of the following statement is true?
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A set is a collection of non-empty object
A set is a collection of only numbers
a set is any collection of things
a set is well-defined collection of objects
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Question # 23
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 24
A conditional "if p then q" is denoted by
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Question # 25
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square root function
identity function
linear function
quadratic function
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Question # 26
The set (Q, .)
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Forms a group
Does not form a group
Contains no additive identity
Contains no additive inverse
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Question # 27
In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.
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45
30
25
50
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Question # 28
Two sets A and B are said to be disjoint if
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Question # 29
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 # 30
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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Question # 31
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Conclusion
Implication
Antecedent
Hypothesis
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