Sets and Venn Diagrams MCQs with Answers

If $A \cap B = A$, then we can interpret this as _?

• A.$A = B$
• B.$B \subseteq A$
• C.$A \subseteq B$
• D.$A \cap B = B$

For two non-empty sets $A$ and $B$, what is $B - A$?

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

If $A \cup B = \{a, c, e, i, m, n, o\}$ and $A \cap B = \{e, i, o\}$, then $A \triangle B$ (symmetric difference) is _?

• A.$\{e, i, o\}$
• B.$\{a, c, e, i, m, n, o\}$
• C.$\{a, c, m, n\}$
• D.$\{a, c\}$

Which of these sets is finite?

• A.$\{2, 4, 6, 8, \dots\}$ (the set of all even natural numbers)
• B.$\{1, 2, 3, \dots\}$ (the set of all natural numbers)
• C.$\{ \dots, -3, -2, -1, 0, 1, 2, 3, \dots \}$ (the set of all integers)
• D.$\{1, 2, 3, \dots, 999, 1000\}$

How many subsets can be made out of the set $X = \{2, 3, 5, 7, 11\}$?

• A.$16$
• B.$32$
• C.$64$
• D.$25$

If $X = \{3, 4, 5, 6\}$ and $Y = \{1, 2, 3, 8\}$, then $X \cup Y$ is ?

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

$S = \{1, 2, 3, 4\}$ is a set of:

• A.Natural numbers
• B.Whole numbers
• C.Integers
• D.Rational numbers

If $A = \{1, 2, 3, 4, 5\}$ and $B = \{1, 2, 5, 9\}$, then which is true?

• A.$A$ and $B$ are disjoint sets
• B.$A$ and $B$ are overlapping sets
• C.$A$ is a subset of $B$
• D.$B$ is a subset of $A$

The concept of set was given by _?

• A.John Venn
• B.Euclid
• C.Pythagoras
• D.George Cantor

If $U = \{1, 2, 3, 4, 5, 6, 7, 8\}$ and $B = \{2, 4, 6, 8\}$, then $U - B$ is ?

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