Sets – Venn Diagrams, Laws of Algebra of Sets, Cardinality

Grade 11 Maths Higher — Sets – Venn Diagrams, Laws of Algebra of Sets, Cardinality: 25 practice questions with instant scoring and explanations.

1. Using Venn diagrams, (A ∪ B)' =
2. De Morgan's Law states that (A ∩ B)' =
3. If |A| = 20, |B| = 30, and |A ∩ B| = 5, then |A ∪ B| =
4. The cardinality of a set is:
5. If |A| = 10, |B| = 15, |A ∩ B| = 3, and U = {1,2,...,30}, then |A' ∩ B'| =
6. For any set A, A ∪ A' =
7. For any two sets A and B, A - B = A ∩ _____
8. If A ⊂ B, then A ∪ B =
9. The commutative law for union states that A ∪ B =
10. If n(A ∪ B ∪ C) = 50, n(A) = 20, n(B) = 30, n(C) = 25, n(A ∩ B) = 8, n(B ∩ C) = 10, n(A ∩ C) = 6, then n(A ∩ B ∩ C) =
11. The idempotent law states that A ∩ A =
12. In a Venn diagram with sets A and B, the region representing A ∩ B' is:
13. If |U| = 100, |A| = 45, |B| = 35, and |A ∩ B| = 10, then |(A ∪ B)'| =
14. The distributive law A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) is:
15. For sets A and B, (A - B) ∪ (B - A) represents:
16. If n(A × B) = 12 and n(A) = 3, then n(B) =
17. The cardinality of the power set of a set with 4 elements is:
18. If A and B are disjoint, then |A ∪ B| =
19. The law of involution states that (A')' =
20. In a class of 100 students, 60 study Mathematics, 50 study Physics, and 30 study both. How many study neither?
21. For any set A, A - A =
22. If |A ∪ B| = 20 and |A ∩ B| = 5, and |A| = 12, then |B| =
23. The complement law states that A ∩ A' =
24. For sets A, B, and C, the associative law (A ∪ B) ∪ C =
25. If n(A) = 8 and n(B) = 12, the minimum value of n(A ∪ B) is: