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 elementscorrect
- Five elements
- One element
- Infinite elements
14. If B⊆A, then the complement of B in A is Bc =
- A∪B
- A – Bcorrect
- 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 ∪ Bcorrect
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
- 2mcorrect
- 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