Sets and Venn Diagrams MCQs with Answers

For two sets $P$ and $Q$, if $O(P) = O(Q)$, then ?

• A.$P = Q$
• B.$P \sim Q$
• C.$P \subset Q$
• D.None of these

If $A$ and $B$ are two non-empty sets, then $A \cup B =$ _?

• A.$\{x \mid x \notin A \text{ and } x \notin B\}$
• B.$\{x \mid x \in A \text{ and } x \in B\}$
• C.$\{x \mid x \in A \text{ but } x \notin B\}$
• D.$\{x \mid x \in A \text{ or } x \in B\}$

If $I = \{a, b, c, e, f, g\}$, $A = \{b, e, f\}$ and $B = \{a, b, c\}$, then find $A' \cap B'$?

• A.$\{a, c, e, f\}$
• B.$\{a, c, g\}$
• C.$\{e, f, g\}$
• D.$\{g\}$

In a hotel, 60% had vegetarian lunch while 30% had non-vegetarian lunch and 15% had both types of lunch. If 96 people were present, how many did not eat either type of lunch?

• A.$24$
• B.$20$
• C.$30$
• D.$15$

When $A = \{x \mid x \in P,\; 5 \leq x \leq 13\}$, where $P$ is the set of prime numbers, then the number of elements in $\mathcal{P}(A)$, i.e., the power set of $A$, is _?

• A.$4$
• B.$8$
• C.$16$
• D.$32$

The set $\{0\}$ is a/an set.

• A.Empty set
• B.Singleton set
• C.Infinite set
• D.Null set

If $C = \{a, b, e, f\}$ and $D = \{2, 4, 8, 10\}$, then $C \cup D$ is _?

• A.$\{a, b, e, f, 2, 4, 8, 10\}$
• B.$\{a, b, e, f\}$
• C.$\{2, 4, 8, 10\}$
• D.$\{\}$

Tabular form of $A = \{x \mid x \in \mathbb{Z} \text{ and } x^2 = 25\}$ is?

• A.$\{-5, 5\}$
• B.$\{5\}$
• C.$\{-5\}$
• D.$\{-5, 0, 5\}$

To write an empty set, we use the symbol:

• A.$\emptyset$
• B.$\{\,\}$
• C.$\phi$
• D.All of these

The complement of a set $A$ with respect to a universal set $U$ is:

• A.The union of set $A$ and set $U$
• B.The intersection of set $A$ and set $U$
• C.The difference of set $A$ from set $U$
• D.The symmetric difference of set $A$ and set $U$