1.3 - Basic Operation on Sets - MCQs
1. What does the union of two sets X and Y represent?
2. Which symbol is used to denote the union of two sets?
3. If X = {1, 3, 5, 7} and Y = {1, 2, 4, 6, 8}, what is X ∪ Y?
4. What does the intersection of two sets X and Y represent?
5. Which symbol is used to denote the intersection of two sets?
6. If X = {1, 3, 5, 7} and Y = {1, 2, 3, 4, 6, 8}, what is X ∩ Y?
7. What does the difference X − Y represent in set theory?
8. If X = {1, 2, 3, 4, 5, 6} and Y = {1, 3, 5}, what is X − Y?
9. If Y = {a, b, c, d, e, f} and X = {a, e}, what is Y − X?
10. Which of the following Venn diagram regions represents the set difference X − Y?
11. If U = {a, b, c, d, e, f} and X = {b, d, f}, what is the complement of X relative to U?
12. Which symbol is commonly used to denote the complement of a set X?
13. In the Venn diagram, which area represents the complement of set X relative to universal set U?
14. If U = {1, 2, 3, 4, 5, 6, 7} and X = {1, 3, 5}, what is X'?
15. Given U = {x, y, z} and X = {x}, what is X'?
16. What does the complement of a set X relative to U represent?
17. If U = {1, 2, 3, 4, 5} and X = {2, 4}, what is the complement of X in U?
18. Which of the following statements is true about the complement of a set X?
19. If X = {a, b} and U = {a, b, c, d}, what is the complement of X in U?
20. What defines two sets X and Y as disjoint sets?
21. If X = {2, 4, 6} and Y = {1, 3, 5}, what is X ∩ Y?
22. What is the Cartesian product of the sets A = {1, 2, 3} and B = {x, y}?
23. What is the Cartesian product B × A if A = {1, 2, 3} and B = {x, y}?
24. Which of the following pairs of sets are disjoint?
25. If A = {1, 2} and B = {p, q, r}, which of the following is not a member of A × B?
26. What is the Cartesian product A × B if A = {a, b} and B = {1, 2, 3}?
27. Which of the following correctly represents B × A if A = {1, 2} and B = {x, y}?
