Relations & Functions Quiz

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

• 1

• 2

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

• 20

• 12

• 16

If A = {1, 2}, B = {1, 2, 3, 4}, C = {5,6} and D =

If there are 1024 relations 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, 11}

• {4, 9, 25, 49, 121}

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

• mn

• nm

• 2mn

• 2mn - 1

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

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)

If f (x) = 2x² and g(x) = 3x² then fog is

• 2x²

• 9x²

• 6x²

If f A B is a bijective function and if n(B) = 7, then n(A) is equal to

• 7

• 49

• 1

• 14