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#1 2008-11-24 18:05:06

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Matriculation Level Mathematics - Set Theory

1. Given A={0,1,3,5}, B={1,2,4,7}, C={1,2,3,5,8}, prove that

a)

b)

c)

2.If A = {1,2,3}, B={1,3,5}, C={2,3,4,6}, find

a)

b)

c)

d)

e)

.

3. Write down all the sub-sets of A={a,b,c,d}

4.Wrtie down the following sets in set-builder form:

a) The set A of all months in a year.

b) The set B of all English alphabets

c) C = {3, 6, 9, ............}

d) D = {1, 3, 5, ............}

5. Given U={1,2,3,4,5,6,7}, A={1,2,3,4,5}, B={1,3,5,7},
C={2,5,6,7}, find

a) C - B

b)

6.If U = {1,2,3,4,5,6,7,8,9,10}, A={1,2,3,5,6,7,9}, B={2,4,5,6,8,10},
prove that

a)

b)

7. Let A = {a,b,c} and B = {1,2}, find

and
and show that
.

8. Let A = {1,2,3,4,5}, B = {3,4,5,6,7}, C = {1,3,5,6,7,8}
show that

a)

b)

9. In a city, three daily newspapers A, B, and C are published.42% of the people in that city read A, 51% read B, 68% read C, 30% read both A and B, 28% read both B and C and 36% read both A and C. 8% of the people do not read any of the three newspapers. Find the percentage pf persons who read all the three news papers.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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