Math 9th Chap 3 : Topic 2 - Maryam Publications

Math Chapter 3 : Topic 2

Sets and Venn Diagrams

1 / 25

Set $A$ is a sub set of set $B$ if:

A) $A$ is always a universal set

B) $A$ and $B$ have no common elements

C) $A$ has more elements than $B$

D) Every element of $A$ is also in $B$

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Which of the following best describes disjoint sets?

A) Sets having some common elements

B) Sets having equal elements

C) Sets where one is subset of other

D) Sets having no common elements

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If $A \cap B = \varnothing$, then sets $A$ and $B$ are:

A) Equal

B) Subsets

C) Overlapping

D) Disjoint

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Overlapping sets mean:

A) Some common elements exist

B) Both sets are empty

C) One is subset of other

D) No common elements

5 / 25

Which region in a Venn diagram represents $A \cap B$?

A) Elements only in $A$

B) Common elements of $A$ and $B$

C) Elements only in $B$

D) Elements outside both sets

6 / 25

If $A \subseteq B$, then:

A) All elements of $A$ are in $B$

B) All elements of $B$ are in $A$

C) $A$ and $B$ are disjoint

D) $A$ and $B$ have no relation

7 / 25

Which of the following is always true?

A) $A \cup B = \varnothing$ always

B) $A \subseteq A$

C) $A \cap B = A$ always

D) $A$ and $B$ are disjoint always

8 / 25

In a three-set Venn diagram, the central overlapping region represents:

A) $A \cap B \cap C$

B) $B$ only

C) $A$ only

D) $A \cup B \cup C$

9 / 25

If $A$ and $B$ are disjoint, then $A \cap B$ equals:

A) $A$

B) $\varnothing$

C) $B$

D) $A \cup B$

10 / 25

Which operation combines all elements from sets $A$ and $B$?

A) Difference

B) Complement

C) Union

D) Intersection

11 / 25

In a Venn diagram, a subset is shown as:

A) Separate circles

B) No circles

C) Overlapping circles only

D) One circle inside another

12 / 25

If $A$ and $B$ overlap, then:

A) $A \cap B \neq \varnothing$

B) $A \subseteq B$ always

C) $A \cap B = \varnothing$

D) $A = B$ always

13 / 25

Which of the following represents three disjoint sets?

A) All sets are equal

B) One set inside another

C) No two sets share elements

D) All sets overlap

14 / 25

The union of three sets $A$, $B$, and $C$ includes:

A) Only outside elements

B) Only $A$ elements

C) Elements in at least one set

D) Only common elements

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Which region is $NOT$ part of $A \cup B$?

A) $B$ only region

B) $A$ only region

C) Outside both sets

D) $A \cap B$ region

16 / 25

If $A \subseteq B$ and $B \subseteq C$, then:

A) $C \subseteq A$

B) $A \cap C = \varnothing$

C) $A \subseteq C$

D) $A = B = C$ always

17 / 25

Which statement is correct for overlapping sets $A$ and $B$?

A) $A = B$ always

B) $A \cap B$ contains some elements

C) $A \subseteq B$ always

D) $A \cap B$ is empty

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In a three-set Venn diagram, how many possible regions exist?

A) $3$

B) $7$

C) $5$

D) $8$

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Which region represents elements only in $A$?

A) $B$ only

B) $A$ only (outside intersections)

C) $A \cap C$

D) $A \cap B$

20 / 25

If $A$ and $B$ are disjoint, then $A \subseteq B$ is:

A) Always false (unless $A$ is empty)

B) Always true

C) Always true if $B$ is empty

D) Always equal

21 / 25

Which symbol represents "union"?

A) $\cap$

B) $\varnothing$

C) $\cup$

D) $\subseteq$

22 / 25

If $A \cap B \cap C \neq \varnothing$, then:

A) Sets are empty

B) All sets have no relation

C) All sets are disjoint

D) There are common elements in all three sets

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Which is true for every set $A$?

A) $A \cup \varnothing = \varnothing$

B) $A \subset \varnothing$

C) $\varnothing \subseteq A$

D) $A \cap \varnothing = A$

24 / 25

In a Venn diagram, the region outside all circles represents:

A) $A \cap B$

B) Universal intersection

C) None of the sets

D) $A \cup B$

25 / 25

If $A$ and $B$ are overlapping sets, then which is impossible?

A) Some elements are common

B) $A \cap B = \varnothing$

C) $A \cup B$ includes both sets

D) $A \cap B \neq \varnothing$

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