Question # 1

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

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-x

Infinite set

{-4, 4}

None of these

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

What is the number of elements of the power set of {0, 1}

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1

2

3

4

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

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A

B

U

None of these

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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

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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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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1/x

-x

2x

0.5 x

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The number of subset of {0} is

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1

2

3

None

Which conjunction is not true ?

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If there is one-one correspondence between A and B, then we write.

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A = B

A⊆ B

A⊇ B

A ∼ B

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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a-b=ab

ab=a

a+b=ab

Which of the following is the subset of all sets?

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The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

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

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2ⁿ

2²ⁿ

2 . n

n²

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

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Two

One

No

Three

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

If E = { } , then P(E)

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∅

{ }

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

(∅)

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

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ECAT Mathematics Chapter 2 Set Function and Groups Online Test MCQs With Answers

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