sets medium

Sets Quiz (Medium)

1. In set theory, what does the complement of a set A consist of?

a) All elements of set A b) All elements not in set A c) All subsets of set A

2. Which of the following represents the cardinality of a set A?

a) |A| b) A c) ||A||

3. The set {1, 2, 3} is an example of:

a) Finite set b) Infinite set c) Null set

4. Which of the following represents the power set of a set A?

a) P(A) b) A^ c) A'

5. In set theory, the union of sets A and B is denoted by:

a) A ∪ B b) A ∩ B c) A - B

6. If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B?

a) {1, 2, 3, 4, 5} b) {3} c) {1, 2}

7. If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?

a) {1, 2, 3, 4, 5} b) {3} c) {1, 2}

8. If A = {1, 2, 3} and B = {3, 4, 5}, what is A - B?

a) {1, 2, 3, 4, 5} b) {3} c) {1, 2}

9. If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∆ B (symmetric difference)?

a) {1, 2, 3, 4, 5} b) {3} c) {1, 2}

10. Which of the following sets is a proper subset of A = {1, 2, 3}?

a) {1, 2, 3} b) {2, 3, 4} c) {1, 2, 3, 4}