Sets and Venn Diagrams MCQs with Answers

There were 600 students in a school. Each offered either English or Hindi or both. If 75% offered English and 45% offered Hindi, how many offered both?

• A.$180$
• B.$150$
• C.$100$
• D.$120$

How many subsets does an empty set have?

• A.$0$
• B.$1$
• C.$2$
• D.Infinite

For any subsets $A$ and $B$ of a universal set $U$, $(A \cap B)' =$

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

$(A \cap B)^c = \text{?}$

• A.$A \cap B$
• B.$A^c \cap B^c$
• C.$A \cup B$
• D.$A^c \cup B^c$

$Z = \{0, \pm 1, \pm 2, \pm 3, \pm 4, \dots\}$ is called the _?

• A.Set of rational numbers
• B.Set of whole numbers
• C.Set of natural numbers
• D.Set of integers

Set of positive integers greater than $2$ and less than or equal to $6$ in tabular form is _?

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

In an examination, $80\%$ of candidates passed English and $85\%$ of candidates passed Mathematics. If $73\%$ of candidates passed in both these subjects, then what percent of candidates failed in both the subjects?

• A.$8\%$
• B.$12\%$
• C.$15\%$
• D.$10\%$

Which of the following correctly represents De Morgan's first law?

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

The principle of set theory is known as?

• A.Zorn's Lemma
• B.Well-Ordering Principle
• C.Axiom of Choice
• D.Pigeonhole Principle

$(A \times B)$ represents _?

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