Sets, functions and groups

If A has 3 elements, the number of elements in its power set is:

• 1 8
• 2 6
• 3 3
• 4 9

If n(A) = 5, n(B) = 4 and n(A intersect B) = 2, then n(A union B) is:

• 1 11
• 2 6
• 3 7
• 4 9

A function that is both one to one and onto is called:

• 1 Constant
• 2 Identity only
• 3 Into
• 4 Bijective

If f(x) = x² and g(x) = x + 1, what is f(g(2))?

• 1 5
• 2 4
• 3 9
• 4 6

The identity element for addition of integers is:

• 1 -1
• 2 1
• 3 No such element
• 4 0

The number of elements in A union B when A and B are disjoint with 3 and 4 elements is:

• 1 7
• 2 1
• 3 0
• 4 12

The inverse of a function exists if the function is:

• 1 One to one and onto
• 2 Constant
• 3 Into only
• 4 Many to one

The set of whole numbers does not include:

• 1 Negative integers
• 2 Zero
• 3 100
• 4 1