Question # 1

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

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

A conditional "if p then q" is denoted by

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If we have a statement "if p then q" then q is called

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Conclusion

Implication

Unknown

Hypothesis

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A

B

U

None of these

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

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

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

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

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10

32

16

5

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

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4

3

2

1

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)

The set of complex numbers forms a group under the binary operation of

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Addition

none of these

Division

Subtraction

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A finite set

An infinite set

An empty set

None of these

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

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

-1-a

None of these

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1/x

-x

2x

0.5 x

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

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

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True

False

Fallacious

Some times true

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If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

Which conjunction is not true ?

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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

If a set S contains "n" elements then P (S) has ...... number of elements

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2ⁿ

2²ⁿ

2 . n

n²

For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

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}

If P is a proposition then its negative is denoted by

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

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