Cadet Colleges Test 2026 Sets and Venn Diagrams Free Quiz 3

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Cadet Colleges Test 2026 Sets and Venn Diagrams Free Quiz 3

Cadet Colleges Test Quiz

10:00

Answered: 0 / 9

Remaining: 9

Navigator 9 Q

General

General 9 MCQs

21. Which of the following equations represents one of De Morgan's Laws?

A. (A ∪ B)' = A' ∪ B' B. (A ∩ B)' = A' ∩ B' C. (A ∪ B)' = A' ∩ B' D. (A - B)' = A' - B'

22. According to De Morgan's Law, (A ∩ B)' is equal to ____.

A. A' ∩ B' B. A' ∪ B' C. A - B D. B - A

23. In a group of 40 people, 25 like tea and 10 like both tea and coffee. How many people like tea ONLY?

A. 15 B. 25 C. 35 D. 10

24. In a class of 50 students, 30 pass Math, 20 pass Science, and 12 pass both. How many students pass at least one subject?

A. 50 B. 38 C. 42 D. 38

25. Which of the following expresses the Commutative Property of Union?

A. A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) B. A ∪ (B ∪ C) = (A ∪ B) ∪ C C. A ∪ B = B ∪ A D. A ∪ {} = A

26. If A = {1, 2, 3} and B = {2, 3, 4}, find the symmetric difference (A - B) U (B - A).

A. {2, 3} B. {1, 4} C. {1, 2, 3, 4} D. {}

27. For any set A and universal set U, what is A ∩ A'?

A. {} B. U C. A D. A'

28. For any set A and universal set U, what is A ∪ A'?

A. {} B. A C. A' D. U

29. The set difference A - B is logically equivalent to which set operation?

A. A ∪ B' B. A' ∩ B C. A ∩ B' D. A' ∪ B

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