### Mathematics Sets Functions and Groups 1 MCQS Online Preparation Sample Paper Questions with Answer

Fundamental concepts in discrete mathematics include sets and functions, with sets being distinct object collections and functions representing relationships by mapping elements from one set to another. Relations and sets investigate connections between elements, with relations defining the relationships between elements. These concepts form the basis for analyzing and understanding relationships and structures in discrete systems within various mathematical principles. For further information on discrete mathematics and related topics, please visit Nokryan.com.

1. If B⊆A, then the complement of A in B is Ac =

- A∩B
- A∪B
- B – A
**correct** - A – B

2. {x | x ε N ^ x < 1} is

- Empty set
**correct** - A set with two points
- A set with three points
- Singleton set

3. A⊆B means

- A is a subset of B
**correct** - A is a superset of B
- A is equal to B
- A is equivalent to B

4. The set {(a, b)} is

- Singleton set
**correct** - Empty set
- Infinite set
- Two point set

5. {x : x ε Z⁺ and x < – 1 } is

- Empty set
**correct** - Singleton set
- A set with two points
- A set with three points

6. A subset A of B which is different from the set B itself, is

- Not a subset of B
- Superset of B
- Improper subset of B
- Proper subset of B
**correct**

7. The number of subsets of a set of 4 elements:

- 16
**correct** - 4
- 8
- 6

8. The set of rational numbers Q is a subset of

- The set of complex numbers C
**correct** - The set of natural numbers N
- The set of integers Z
- The set even integers E

9. A set containing only one element is called the

- Empty set
- Null set
- Solution set
- Singleton set
**correct**

10. If every element of a set A is also element of set B, then

- A ∩ B = φ
- B⊆A
- None of these
- A⊆B
**correct**

11. If A⊆B and B⊆A, then

- A = φ
- A∩B = φ
- B = φ
- A = B
**correct**

12. A ⊇B means

- A is equal to B
- A is a super set of B
**correct** - A is equivalent to B
- A is a subset of B

13. The set {{1, 2, 3}, {4, 5}} has

- Two elements
**correct** - Five elements
- One element
- Infinite elements

14. If B⊆A, then the complement of B in A is Bc =

- A∪B
- A – B
**correct** - B – A
- A∩B

15. {x|x ε N, x ≤ 10} is the

- Set builder method
**correct** - Descriptive method
- Non-descriptive method
- Tabular method

16. The union of two sets A and B is

- A = B
- A ≠ B
- A ∩B
- A ∪ B
**correct**

17. The set A is

- Improper subset of A
**correct** - Not a subset of A
- Proper subset of A
- Not a superset of A

18. {x|x = p/q , p, q ε Z ^ q ≠ 0} is set of all

- Integers
- Irrational numbers
- Natural numbers
- Rational numbers
**correct**

19. The set of real numbers R is a subset of

- The set of even integers E
- The set of natural numbers N
- The set of complex numbers C
**correct** - The set if integers Z

20. The intersection of two sets A and B is

- A = B
- A ∪B
- A ≠ B
- A∩B
**correct**

21. If n(A) = m, then nP(A)=

- 2n
- 3m
- 2m
**correct** - 2²m

22. The set of students of your class is

- Infinite set
- Empty set
- Finite set
**correct** - Null set

23. If A = { }, then P(A) =

- Empty set
- { 0 }
- None of these
- { φ }
**correct**

24. φ is

- Singleton set
- A set with three points
- A set with two points
- Empty set
**correct**

25. If there is at least one element of B which is not in A, then

A = B- B = φ
- A ≠ B
**correct** - A∪B = φ