Question # 1

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Conclusion

Implication

Antecedent

Hypothesis

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A

A'

U

None of these

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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A

A'

U

None of these

Let A and B be two sets. If every element of A is also an element of B then

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Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

If A and B are two sets then intersection of A and B is denoted by

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The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

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

A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

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

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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none of these

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

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The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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Addition

Multiplication

Division

Both addition and multiplication

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Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

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a constant function

linear function

quadratic funtion

none of these

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An empty set

Universal set

A singleton set

None of these

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Addition

Subtraction

Multiplication

None of these

The statement that a group can have more than one identity elements is

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True

False

Ambiguous

Some times true

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test MCQs With Answers

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