Sets and Venn Diagrams MCQs with Answers

The cardinality of the power set of $\{x: x \in \mathbb{N}, x \leq 10\}$ is?

• A.$2^{10}$
• B.$1024$
• C.$10^2$
• D.$2048$

Past Paper MCQ

If the number of elements in set $A$ is $20$, in set $B$ is $30$, and the number of elements in the union of sets $A$ and $B$ is $40$, what is the number of elements in the intersection of sets $A$ and $B$?

• A.$5$
• B.$10$
• C.$15$
• D.$20$

The set of first 5 positive prime numbers in tabular form can be written as _?

• A.$\{2, 3, 5, 7, 11\}$
• B.$\{1, 2, 3, 5, 7\}$
• C.$\{2, 3, 5, 7, 9\}$
• D.$\{2, 3, 5, 7, 13\}$

Which of the following sets is countable?

• A.Set of all real numbers
• B.Set of all rational numbers
• C.Set of all irrational numbers
• D.Set of all points on a line segment

The symbol $\cap$ represents _?

• A.Union of sets
• B.Intersection of sets
• C.Complement of a set
• D.Symmetric difference of sets

Which one of the following is not true about the empty set?

• A.The empty set is a subset of every set
• B.The empty set is not a subset of every set
• C.The cardinality of the empty set is $0$
• D.The empty set is denoted by $\emptyset$ or $\{\}$

If $A$ is a proper subset of $B$, then $A - B$ is?

• A.$A$
• B.$B$
• C.$\emptyset$
• D.$B - A$

If $A = \{2, 4, 6, 10\}$, then ?

• A.$4 \in A$
• B.$5 \in A$
• C.$8 \in A$
• D.$12 \in A$

Let $U$ be a universal set and $A$ and $B$ be subsets of $U$. Which of the following is TRUE according to DeMorgan's Law?

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

Two sets having the same cardinality are called _?

• A.Equal sets
• B.Equivalent sets
• C.Disjoint sets
• D.Subsets