Relations and Functions

If n(A x B) = 6 and A = {1,3} then n(B) is

• 1

• 2

• 3

• 6

A = { a,b,p}, B = {2,3}, C = {p,q,r,s} then n[(A⋃C) x B] is

• 8

• 20

• 12

• 16

If A = { 1,2}, B = {1,2,3,4}, C = {5,6}, D = {5,6,7,8}then state which of the following statement is true.

• (A x C) ⊂ (B x D)

• (B x D) ⊂ (A x C)

• (A x B) ⊂ (A x D)

• (D x A) ⊂ (B x A)

If there are 1024 relarions from a set A = {1,2,3,4,5} to a set B, then the number of elements in B is

• 3

• 2

• 4

• 8

The range of the relation R = {( x, x² ) / x is a prime number less than 13} is

• {2,3,5,7}

• {2,3,5,7,11}

• {4,9,25,49,121}

• {1,4,9,25,49,121}

If the ordered pairs (a+2, 4) and (a, 2a+b) arre equal then (a,b) is

• (2,-2)

• (5,1)

• (2,3)

• (3,-2)

Let n(A) m and n(B) = n then the total number of non-empty relations that cane be defined from A to B is

• mⁿ

• n^m

• 2^mn -1

• 2^mn

If { (a,8), (6,b) } represents an identity function, then the value of a and b are respectively

• (8,6)

• (8,8)

• (6,8)

• (6,6)

Let A = {1,2,3,4} and B = {4,8,9,10}. A function f : A → B given by f = { (1,4), (2,8), (3,9), (4,10) } is a

• Many-one function

• Identity function

• One-to-one function

• Into function