Question # 1

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

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A

B

U

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

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n(A)

n(B)

0

1

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

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

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

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

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none of these

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A

A'

U

Which of the following is the subset of all sets?

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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

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

+-1

0

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a-b=ab

ab=a

a+b=ab

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A

A'

U

A A'

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An empty set

Universal set

A singleton set

None of these

The number of subsets of a set having three elements is

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4

6

8

none of these

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A

A'

U

None of these

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

If E = { } , then P(E)

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∅

{ }

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

(∅)

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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

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

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