📊 Sets and Venn Diagrams

Questions in this quiz

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1. Question 1

   Which of the following is a valid representation of a set?

2. Question 2

   If $A = \{2, 4, 6, 8\}$ and $B = \{1, 2, 3, 4\}$, then $2 \in A \cap B$.

3. Question 3

   If $U = \{1, 2, 3, 4, 5, 6\}$ is the universal set and $A = \{2, 4, 6\}$, then $A' =$ ___

4. Question 4

   Given $P = \{a, b, c\}$, how many subsets does set $P$ have?

5. Question 5

   Two sets $A$ and $B$ are disjoint if and only if $A \cap B = \emptyset$.

6. Question 6

   If $X = \{1, 2, 3, 4, 5\}$ and $Y = \{3, 4, 5, 6, 7\}$, then $X \cup Y =$ ___

7. Question 7

   In a Venn diagram with two sets $A$ and $B$, the region representing $A \cap B$ is the area that is:

8. Question 8

   Given three sets: $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$, and $C = \{4, 5, 7, 8\}$. What is $A \cap B \cap C$?

9. Question 9

   If $n(A) = 15$, $n(B) = 20$, and $n(A \cap B) = 5$, then $n(A \cup B) =$ ___

10. Question 10

    In a survey of $100$ students, $60$ play football, $45$ play basketball, and $20$ play both. How many students play neither sport?