Sets, functions and groups

Written by Hassan Raza (Mathematics)

Class 11 · Mathematics · 8 questions

Name: ____________________   Date: ____________

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

   • A 8
   • B 6
   • C 3
   • D 9

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

   • A 11
   • B 6
   • C 7
   • D 9

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

   • A Constant
   • B Identity only
   • C Into
   • D Bijective

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

   • A 5
   • B 4
   • C 9
   • D 6

5. The identity element for addition of integers is:

   • A -1
   • B 1
   • C No such element
   • D 0

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

   • A 7
   • B 1
   • C 0
   • D 12

7. The inverse of a function exists if the function is:

   • A One to one and onto
   • B Constant
   • C Into only
   • D Many to one

8. The set of whole numbers does not include:

   • A Negative integers
   • B Zero
   • C 100
   • D 1