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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-23-VEN-01
Venn Diagrams & Critical Thinking - Assignment
Chapter: Logical Reasoning
Topic: Venn Diagrams and Critical Thinking
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A Venn diagram uses ___ to show sets.
  • A.squares
  • B.circles
  • C.lines
  • D.arrows
2.
The intersection contains elements:
  • A.in only one set
  • B.common to both
  • C.in neither
  • D.outside
3.
The union contains:
  • A.only common elements
  • B.all elements of both
  • C.no elements
  • D.outside elements
4.
If $A=\{1,2,3\}$ and $B=\{3,4\}$, then $A\cap B=$
  • A.$\{3\}$
  • B.$\{1,2\}$
  • C.$\{4\}$
  • D.$\{1,2,3,4\}$
5.
The region outside the circles is the:
  • A.union
  • B.complement
  • C.intersection
  • D.subset
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
The overlap of two sets is called the:
7.
All elements of both sets together form the:
8.
If $A=\{1,2,3\}$ and $B=\{3,4\}$, find $A\cap B$.
9.
If $A=\{1,2\}$ and $B=\{2,3\}$, find $A\cup B$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
$A=\{1,2,3,4\}$, $B=\{3,4,5\}$. Find $A\cap B$.
11.
$A=\{1,2,3,4\}$, $B=\{3,4,5\}$. Find $A\cup B$.
12.
In a class, $12$ like tea, $15$ like coffee and $5$ like both. How many like tea only?
13.
From the previous question, how many like at least one drink?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
In a group of $40$ students, $25$ play cricket, $20$ play football and $10$ play both. Find how many play (a) only cricket, (b) only football, (c) neither.
15.
$A=\{2,4,6,8,10\}$, $B=\{1,2,3,4,5\}$. Find $A\cap B$, $A\cup B$ and $n(A\cup B)$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) circles
  2. (B) common to both
  3. (B) all elements of both
  4. (A) $\{3\}$
  5. (B) complement
Section B — Short Answer (2 marks)
  1. Intersection.
  2. Union.
  3. $\{3\}$.
  4. $\{1,2,3\}$.
Section C — Short Answer (3 marks)
  1. $\{3,4\}$.
  2. $\{1,2,3,4,5\}$.
  3. $7$.
  4. $22$.
Section D — Long Answer (5 marks)
  1. Only cricket $15$; only football $10$; neither $5$.
  2. $A\cap B=\{2,4\}$; $A\cup B=\{1,2,3,4,5,6,8,10\}$; $n(A\cup B)=8$.
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