Read More About Union, Intersection and Venn Diagram
Venn Diagram Questions with Answers
1.
Choose the correct option.
a.
If n(A) = 6 and n(B) = 5, then maximum value of n (A ∪ B) is
i. 1
ii. 11
iii. 4
iv. 2
b.
If A ⊆ B and B ⊆ A, then A ∩ B =
i. A – B
ii. B – A
iii. a null set
iv.
A or B
c.
If ξ is the universal set and A ⊆ ξ with n(ξ) = 100 and n(A) = 60, then n(A’)=
i. 60
ii. 80
iii. 40
iv. 50
2. Write true or false for each of the following
statements.
a. If A = {letters of the word BALLOON}, then n (A) = 5.
b. If P = {x : x ∈ W, x is a multiple of 3
less than 15} and Q = {x : x ∈ N, x is a multiple of 4
less than 15}, then P ∩ Q is a singleton set.
c. If set A and B are two equivalent
sets, then n (A) = n (B).
d. S = {students of class 8 in a
school} is a finite set.
3.
Fill in the blanks.
a.
If A = {a, b, c, d, e, f}, B = {letters of the word “fade”},
then A ∩ B is ___________.
b. If A = {letters of the word FLOWER}, then n(A)
is ___________.
c. If A = {letters of the word ARITHMETIC} and
B = {letters of the word TRIGONOMETRY}, then A ∩ B = ___________.
d. A = {5, 10, 15, 20, 25, 30}
written in set builder form is ___________.
4. Let ξ = {x: x є N and x < 13}, A = {2, 3, 5, 7, 11} and B = {2,
4, 6, 8, 10, 12}, find the following:
a. A′
b. A ∩ B
c. A ∪ B
d. B’
Draw
the Venn diagram for all operations in a to d.
5. In gathering of 50 diplomats, each person can
speak either English or French or both. If 36 speak English, 24 speak French,
how many speak both English and French? Solve this problem using a Venn
diagram.
6. In a group of 45 boys, each one play either
cricket or tennis. If 32 of them play cricket and 29 play tennis and 16 play
both, then represent this situation using Venn diagram.
7. If ξ = {x: x Ñ” N and 1 ≤ x ≤ 15}, A = {2, 3, 5, 7, 11, 13}, B =
{1, 2, 3, 4, 5, 6, 7} and C = {5, 6, 7, 8, 9, 10}. Find
a. B ∩ C
b. A ∪ B
c. A ∪ C
d. A ∪ (B ∩ C)
Verify that A ∪ (B
∩ C) = (A ∪ B) ∩ (A ∪ C)
8.
Given ξ = {1, 2, 3, 4, …, 25}. Write down the
elements of the following sets if A = {x : x є ξ and x is
odd} and B = {x : x є ξ and x is a multiple of 3}, find
a. the elements of A – B
b. A′
c. n(A∩B)
9. From the Venn diagram, find
a. A ∩ B
b. A ∪ B
c. A – B
d. B – A
e. (A ∪ B)’
10. Write down the sets represented by the shaded portion in each of the following Venn diagrams.
1. a. ii b. iv
c.
iii
2. a. True
b. True
c.
True d. True
3. a. {a, d, e, f} b. 6
c. {R,
I, T, M, E}
d. {x:
x = 5n; n ∈
N; n < 7}
4. a. A′ = {1, 4, 6,
8, 9, 10, 12}
b. A ∩ B = {2}
c. A ∪
B = {2, 3, 4, 5, 6, 7, 8, 10, 11, 12}
d. B’ = {1, 3, 5, 7, 9, 11}
5. 10
persons
6. Do it
yourself
7. a. B ∩
C = {5, 6, 7}
b. A ∪
B = {1, 2, 3, 4, 5, 6, 7, 11, 13}
c. A ∪
C = {2, 3, 5, 6, 78, 9, 10, 11, 13}
d. A ∪
(B ∩ C) = {2, 3, 5, 6, 7, 11, 13}
8. a. A –
B = {1, 5, 7, 11, 13, 17, 19, 23, 25}
b. A′ = {2, 4, 6, 8, 10, 12, 14, 16, 18,
20, 22, 24}
c. n(A ∩ B) = 4
9. a. A ∩ B = {4}
b. A ∪ B = {1, 2, 3, 4, 5, 7, 8, 9}
c. A – B = {1, 2, 3, 8}
d. B – A = {5, 7, 9}
e. (A ∪ B)’ = {6, 10, 11, 12, 14, 18}
10. a. A – B
b. (A ∪
B)’
c. (A – B) ∪
(B – A)
d. A’
Read More About Union, Intersection and Venn Diagram
MCQs Questions for Class 8 Maths
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| Maths Worksheets for Other Chapters of Class 8 |
1. Rational numbers class 8 worksheet
2. Exponents and powers class 8 worksheet
3. Squares and square roots class 8 worksheets
4. Cubes and cube roots class 8 worksheets
5. Playing with numbers class 8 worksheet
6. Algebraic expressions class 8 worksheet
7. Factorisation class 8 worksheet
8. Linear equations in one variable class 8 worksheet
9. Percentage class 8 worksheets
10. Compound interest class 8 worksheets
11. Direct and inverse proportions class 8 worksheets
12. Understanding quadrilaterals class 8 worksheets
13. Construction of quadrilaterals class 8 worksheet
14. Perimeter and area class 8 worksheets
15. Surface area and volume class 8 worksheets
16. Data handling class 8 worksheets
17. Probability class 8 worksheets
Some Extra Worksheets for ICSE Maths Class 8
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| Maths Worksheets for Other Classes |