Q1. From the following Venn diagram, find the following sets
(i) P
(ii) Q
(iii) P Q
Q2. From the following Venn diagram find the following sets
(i) P (ii) Q (iii) P Q
(iv)
P
Q
Also verify that n(PUQ) n(P) n(Q) n(P Q)
Q3. From the following Venn diagram find:
(i) P (ii) Q
(iii) P Q (iv)
P
Q
Q4. Let P={ a,b,c,d,e} and Q={1,2,3,4} .Show P Q and P Q by Venn diagrams.
Q5. Let P=(a,i,o,e,u} and Q={Letters of the word ‘item’}.Find P Q and P Q by Venn
diagrams.
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Q6. If A={Letters in the word ‘India’} and B={ letters in the word ‘Delhi’}, then illustrate
this information about sets on Venn diagram.
Q7. If A={ natural numbers less than 5} and B=( squares of first four whole numbers},
then illustrate this information about sets on Venn diagram.
Q8. If A={multiples of 2 less than 12} and B={ even numbers less than 14}, then illustrate
this information about sets on Venn diagram.
Q9. From the following Venn diagram find:
(i) n(A)
(ii) n(B)
(iii) n( A B )
Q10. From the following Venn diagram find:
(i) n(A)
(ii) n(B) (iii) n( A B )
Q11. If A={whole numbers less than 0} and B={natural numbers less than 4} , then what
is the cardinal number of the set A B
Q12. What is the cardinal number of a set A={ x:x2=-1,x is a natural number}.
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Q13. Write the following in Roster form:
(i) A={x:x is a vowel in the word ‘champion’}
(ii) B={x:x is a prime factor of 12}
Q14. Write the following in set-builder form:
(i) A={0,1,2,3,4}
(ii) B={r,o,s,e}
Q15. If A={ natural numbers less than 30 and multiples of 8} and B={even natural
numbers less than 10},then find A B by drawing Venn diagram.
Q16. Given A={1,2,3,4,5} and B={3,4,5} find
(i) A B (ii) A B
(iii) A
Q17. Given A={ prime factors of 6} and B={prime numbers less than 10}.Illustrate the
given information about the given sets on a Venn diagram.
Q18. If A=the set of natural numbers and B= set of negative integers then illustrate the
given information about the given sets on a Venn diagram.
Q19. A={letters in the word ‘God’} and B={letters in the word ‘lord’}. Illustrate the given
information about the given sets on a Venn diagram.
Q20. If A={odd natural numbers} and B={even natural numbers} then what is the cardinal
number of the set A B .
Answers:
A1. (i) {9,2,1,8}
(ii) {1,8,0,3}
(iii) {9,2,1,8,0,3}
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A2. (i) {b,c,a,g}
(ii) {e,f,d,h}
(iii) {b,c,a,g,e,d,f,h}
(iv) {}
A3.
(i) {1,8,3,9,0,2}
(ii) {0,2}
(iii) {1,8,3,9,0,2}
(iv) {0,2}
A4.
P Q
PUQ = SHADED PART
A5. P Q {i , e}
P
shaded part
Q ={a,e,i,o,u,t,m} shaded part
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A6.
A7.
A8.
A9. (i) 6
(ii)
3
(iii)
6
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A10. (i) 5
(ii)
5
(iii)
5
A11. 3
A12. 0
A13. (i) A={a,i,o}
(ii) B={2,3}
A14. (i) A={x:x is a whole number less than 5}
(ii) B=(x:x is a letter of the word ‘rose’}
A15.
A16. (i){1,2,3,4,5}
(ii) {3,4,5}
(iii)
A17.
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A18.
A19.
A20. 0
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