Find the values of a and b,if (a - 3, b + 7) = (2, -5) ?

(A)

5 and 7

(B)

5 and - 12

(C)

5 and 12

(D)

10 and 2

Question-2

Let A = {1,2,3} , B = {a,b,c,d} be two sets and let R = {(1,a),(1,c),(2,d),(2,c)} be a relation from A to B.Find R^{-1}?

(A)

{(1,a),(1,b),(1,d)}

(B)

{(a,1),(c,1),(d,2),(c,2)}

(C)

{(a,1),(1,c),(d,2),(c,2)}

(D)

{(a,1),(c,1),(2,d),(2,c)}

Question-3

R is a relation from {11,12,13} to {8,10,12} defined by y = x - 3 .The relation R^{-1} is.

(A)

{(11,8),(13,10)}

(B)

{(8,11),(10,13)}

(C)

{(8,11),(9,12),(10,13)}

(D)

None of these

Question-4

The relation R defined by R = {(x,x+5) : x {0,1,2,3,4,5}.The domain of R is

(A)

{1,2,3}

(B)

{0,1,2,3,4,5}

(C)

{5,6,7,8,9,10}

(D)

None of these

Question-5

The relation R is defined by R = {(x : x^{3} ) : x is a prime number less than 10}.The domain of R is

(A)

{2,4,6,8}

(B)

{2,3,5,7}

(C)

{8,27,125,343}

(D)

{1,2,3,4}

Question-6

A = {1,2,3,4,5} and B = {4,6,9}. A relation R from A to B defined by R = {(x,y) : the difference between x and y is odd, x A,y B}.Write R in Roster form.

(A)

{(1,4) (1,6) (2,9),(3,4) ,(3,6) (5,4), (5,6)}

(B)

{(4,1),(6,2),(9,3),(4,3),(6,3),(4,5),(6,5)}

(C)

{(1,4),(2,6 ) (2,9),(3,4) (3,6),(5,4) (5,6)}

(D)

None of these

Question-7

If A = {2,4,6} and B = {1,4}, then which of the following relation is correct?

(A)

A × B = B × A

(B)

A × B = A × A

(C)

A × B ≠ B × A

(D)

A × B = B × B

Question-8

Let A = {1,2,3},B = {a,b,c,d} be two sets and let R = {(1,a),(1,c),(2,d),(2,c)} be a relation from A to B. The range of R is

(A)

{a,c,d}

(B)

{a,b,c,d}

(C)

{1,2}

(D)

{1,2,3}

Question-9

The relation R defined by R = {(x,x+5) : x {0,1,2,3,4,5}.The range of R is

(A)

{1,2,3,4,5}

(B)

{6,7,8,9,10}

(C)

{5,6,7,8,9}

(D)

{5,6,7,8,9,10}

Question-10

Let A = {x,y,z} and B = { 1,2}.The number of relations from A into B is

(A)

32

(B)

64

(C)

128

(D)

26

Your Score 0/10

Click here to see your answersheet and detailed track records.