Sets and Venn diagrams Quiz

1. $A=\{1,2,3,4\}$ and $B=\{3,4,5,6\}$. What is $A\cup B$?

• A. $\{3,4\}$
• B. $\{1,2,3,4,5,6\}$
• C. $\{1,2,5,6\}$
• D. $\{1,2,3,4,3,4,5,6\}$

2. $n(\xi)=30$, $n(A)=12$, $n(B)=10$ and $n(A\cap B)=4$. How many elements are in neither set?

• A. $12$
• B. $8$
• C. $16$
• D. $22$

3. $\xi=\{1,2,\dots,10\}$ and $A=\{2,3,5,7\}$. What is $A'$?

• A. $\{1,4,6,8,9,10\}$
• B. $\{2,3,5,7\}$
• C. $\{1,2,3,4,5,6,7,8,9,10\}$
• D. $\{4,6,8,9,10\}$

4. In a class of 25, 15 like tennis, 12 like swimming and 4 like both. What is the probability that a student likes tennis only?

• A. $\frac{15}{25}$
• B. $\frac{4}{25}$
• C. $\frac{8}{25}$
• D. $\frac{11}{25}$

5. Which notation describes 'in $A$ but not in $B$'?

• A. $A\cup B'$
• B. $A'\cap B$
• C. $A\cap B'$
• D. $(A\cap B)'$