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If m elements are in a set A and n elements are in set B, then number of elements in set AxB is

(A)

m

(B)

n

(C)

mn

(D)

less than mn

Question-3

Domain of the relation {(-3,1) (-1,1) (1,0) (3,0)} is

(A)

{-3,-1,-1,3}

(B)

{-3,-1,1,3}

(C)

{1,1,0}

(D)

{1,0}

Question-4

Let A= {1,2,3} and R= {(1,2), (2,2), (3,1), (3,2)}. Then the domain of R^{-1} is

(A)

{1,2,3}

(B)

{2,1}

(C)

{1,3}

(D)

{2,3}

Question-5

If (a,b) = (2,3), then (a^{2}+1, b^{2}+2) is equal to

(A)

(3,5)

(B)

(5,11)

(C)

(1,2)

(D)

None of these

Question-6

Let R be a set of real numbers and let S be a relaion defined on R as follows. xSy, iff x^{2}+y^{2}=1.Which one of the following statements is correct?

(A)

S is a reflexive relation

(B)

S is a symmetric relation

(C)

S is a transitive relation

(D)

S is an anti-symmetric relation

Question-7

Two finite sets A and B having m and n elements. The total number of relation A to B is 64, then possible values of m and n are.

(A)

2 and 4

(B)

2 and 3

(C)

2 and 1

(D)

64 and 1

Question-8

If A, B and C are non empty sets then Ax (B ∪ C)=

(A)

(AxB) ∩ (AxC)

(B)

(AxC) ∩ (AxA)

(C)

(AxB) ∪ (BxC)

(D)

(AxB) ∪ (AxC)

Question-9

If A = {1,2,3} and B = {3,4}, then (A ∪ B) X (A ∩ B) is

(A)

{3,3}

(B)

{(1,3), (2,3), (3,3), (1,4), (2,4), (3,4)}

(C)

{(1,3), (2,3), (3,3)}

(D)

{(1,3), (2,3), (3,3), (4,3)}

Question-10

What is the value of x for which the function f(x) = 5/3x-2 becomes meaningless ?

(A)

5

(B)

3

(C)

3/2

(D)

2/3

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