Venn Diagram Questions

Venn Diagram Questions

By solving these Venn Diagram Questions, you can increase the understanding of the concepts learnt. These Venn Diagram Questions are prepared by experienced teachers and subject matter experts.


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 є 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.




ANSWERS

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’



Related Links

Read More About Union, Intersection and Venn Diagram

MCQs Questions for Class 8 Maths


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

1. Sets class 8 worksheets

 

Maths Worksheets for Other Classes


Maths Worksheets for Class 1

Maths Worksheets for Class 2

Maths Worksheets for Class 3

Maths Worksheets for Class 4

Maths Worksheets for Class 5

Maths Worksheets for Class 6

Maths Worksheets for Class 7

Maths Worksheets for Class 8

Maths Worksheets for Class 9

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