Assignment-1 (Maths)---SET THEORY

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1. If A and B are two sets, then A U (AB)’ is equal to

a. A

b. B

c.

d. None of these

2. Let A and B are 2 sets then

a. AB AB

b. A B AUB

c. AB=AUB

d. None of these

3. If A is any set then

a. AUA’=

b. AUA’=U

c. AA =U

d. None of these

4. Two sets A,B are disjoint If :

a. AUB=

b. AB

c. AB=

d. None of these

5. If A B then AUB is equal to

a. A

b. BA

c. B

d. None of these

6. If A={2,3,4,8,10} B={3,4,5,10,12} C={4,5,6,12,14}, Then (AUB) (AUC) is equal to

a. {2,3,4,5,8,10,12}

b. {2,4,8,10,12}

c. {3,8,10,12}

d. {2,8,10}

7. If A and B are disjoint, then (AUB) is equal to

a. n(A)

b. n(B)

c. n(A)+n(B)

d. n(A).n(B)

8. If n(A)=3 and n(B)=6 and A B, then the no. of elements in AUB is equal to

a. 3

b. 9

c. 6

d. None of these

9. Let A and B be the subsets of set X, then

a. A-B=AUB

b. A-B=A B

c. A-B=A’B

d. A-B=AB’

10. If A,B and C are any three sets, then A×(BC) is equal to

a. (A×B)U(A×C)

b. (A×B)(A×C)

c. (AUB)×(AUC)

d. none of these

11. If A,B and C are three sets then A-(BUC) is equal to

a. (A-B)U(A-C)

b. (A-B)(A-C)

c. (A-C)UC

d. (A-B)C

12. If A,B and C are three sets, then AB(BUC) is equal to

a. (AUB)(AUB)

b. (AB)U(AC)

c. (AUB)U(AUC)

d. None of these

13. Let S={0,1,5,4,7}. Then the total no. of subsets S is

a. 64

b. 32

c. 40

d. 20

14. A={x: x x} represents

a. {0}

b. {}

c. {1}

d. {x}

15. The diagram below show that

a. f is a function from A to B

b. f is a function from B to A

c. f is function from A onto B

d. f is not a function

16. let f : (-1,1)àB be a function defined by f(x)=tan 2x/1-x² then f is both one-one and onto when B is the interval

a. [-/2,/2]

b. (-/2,/2)

c. (0,/2)

d. [0,/2]

17. Let R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)} be a relation on the set A={3,6,9,12}. The relation is

a. An equivalence relation

b. Reflexive and symmetric only

c. reflexive and transitive only

d. reflexive only

18. A relation R on a set A is called an equivalence relation if

a. It is reflexive

b. Its symmetric

c. its transitive

d. its reflexive , transitive and symmetric

19. Which of the following is true?

a. 3 {1,3,5}

b. 3 є {1,3,5}

c. {3} є {1,3,5}

d. {3,5} є {1,3,5}

20. If A B than

a. A’ B’

b. A’ = B’

c. B’ A’