# Types of Sets By Sir Asad Aziz

1. ____, universal, proper, singleton, and power sets are a few of the many types of sets.

(a) Finite (b) Infinite

(c) Subset **(d) All of the above**

2. Whenever n is a non-negative integer, a set is said to be finite if it contains only _____ distinct elements.

**(a) n** (b) n+1

(c) n-1 (d) n^2

3. An ____ set is a finite set.

(a) Innumerable **(b) Enumerable**

(c) Both (a) and (b) (d) None of these

4. A/an ____ set is one that has no end.

(a) Non-finite (b) Finite

**(c) Infinite** (d) None of these

5. The ____ is n.

(a) Cardinality of sets (b) Cardinal number of sets

**(c) Both (a) and (b) ** (d) None of these

6. ______ is another name for a countably infinite set.

(a) Enumerable ** (b) Denumerable**

(c) Non-numerable (d) Innumerable

7. In mathematics, countable sets are defined as ______.

(a) Finite (b) Denumerable

**(c) Both (a) and (b)** (d) None of these

8. A non-negative even integer set is ______.

(a) Countable Infinite (b) Uncountable Finite

**(c) Countable Finite ** (d) Uncountable Infinite

9. Infinite sets that can’t be counted are called _____.

(a) Uncountable infinite sets (b) Non-denumerable sets

(c) Uncountable sets **(d) All of the above**

10. If every element of A is also an element of B, then ______.

(a) A is called Superset of B **(b) B is called Superset of A**

(c) A and B are Superset (d) B is called Subset of A

11. A is called a subset of B, if ______ element of A is also an element of B.

(a) Few (b) None

(c) Little **(d) Every**

12. If every element of A is also an element of B, it is denoted by:

**(a) A ⊆ B ** (b) A U B

(c) A – B (d) A + B

13. Which of the following is/are a property (properties) of a subset?

(a) Sets are subsets of one another.

(b) Every set contains a Null Set, i.e.∅.

(c) The subset of A will be C if it is a subset of B and B is a subset of C.

**(d) All of the above**

14. Which of the following is a property of a subset?

**(a) If there are n elements in a finite set, there are 2^n subsets**

(b) If there are n elements in a finite set, there are n^2 subsets

(c) If there are n elements in an infinite set, there are 2^n subsets

(d) If there are n elements in an infinite set, there are n^2 subsets

15. If A⊂B and B⊂ C ⟹ ____

(a) C ⊂ A **(b) A ⊂ C**

(c) A U C (d) A + C

16. Whenever A is a subset of B, and A ≠ B, then A is called a ___ subset of B.

**(a) Proper** (b) Improper

(c) Finite (d) Infinite

17. B ____ of A if A is a proper subset of B.

**(a) Is not a subset** (b) Is a subset

(c) Is not a superset (d) None of these

18. Every set has a null ____ as a proper subset.

(a) = **(b) ∅**

(c) * (d) U

19. Sets are ____ subsets of themselves.

(a) Proper ** (b) Improper**

(c) Finite (b) Infinite

20. ____ sets, do not contain any elements.

(a) Null (b) Void

(c) Empty **(d) All of the above**