Sets and Venn Diagrams MCQs with Answers

If $A = \{1, 2\}$ and $B = \{a, b\}$, which of the following is true?

• A.$A$ and $B$ are equal sets
• B.$A$ and $B$ are equivalent sets
• C.$A$ and $B$ are disjoint sets
• D.$A$ and $B$ are subsets of each other

If a set contains only one element, then it is called:

• A.Null set
• B.Singleton set
• C.Finite set
• D.Subset

Past Paper MCQ

In an examination, $25\%$ candidates failed in Mathematics and $20\%$ students failed in English. If $5\%$ students failed in both the subjects, find the percentage of students who passed in both the subjects.

• A.$55\%$
• B.$65\%$
• C.$60\%$
• D.$50\%$

If $X = \{2, 4, 6, 8\}$ and $Y = \{1, 2, 3, 6\}$, then $X \cap Y =$ _?

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

Select one of the following that is a set:

• A.All tall students in a class
• B.All beautiful flowers in a garden
• C.Set of office computer system
• D.All good novels in a library

When $A = \{x : x \in P,\ 5 \leq x \leq 13\}$, 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.$8$
• B.$16$
• C.$4$
• D.$32$

What is the cardinality of the set $A = \{1, 2, 3, 4\}$?

• A.$3$
• B.$4$
• C.$5$
• D.$0$

If $A = \{1, 2, 3, 4\}$, then $A - A =$ _?

• A.$\emptyset$
• B.$\{0\}$
• C.$A$
• D.$\{1, 2, 3, 4\}$

If $A = \{a, b, c\}$, then the cardinality of set $|A|$ is _?

• A.$0$
• B.$2$
• C.$1$
• D.$3$

Which of the following is a subset of $\{b, c, d\}$?

• A.$\{b, c\}$
• B.$\{c, d\}$
• C.Both A and B
• D.$\{a, b\}$