#### Set Language - Important Question Paper

9th Standard

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50

Part A

15 x 1 = 15
1. The set P = {x | x ∈ Z , –1 < x < 1} is a

(a)

Singleton set

(b)

Power set

(c)

Null set

(d)

Subset

2. If U ={x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is

(a)

{1, 6, 7, 8, 9}

(b)

{1, 2, 3, 4}

(c)

{2, 3, 4, 5}

(d)

{ }

3. If B ⊆ A then n(A∩B) is

(a)

n(A – B)

(b)

n(B)

(c)

n(B – A)

(d)

n(A)

4. If A = {x, y, z} then the number of non - empty subsets of A is

(a)

8

(b)

5

(c)

6

(d)

7

5. Which of the following is correct?

(a)

∅ ⊆ {a, b}

(b)

∅ ∈ {a, b}

(c)

{a} ∈ {a, b}

(d)

a ⊆ {a, b}

6. The shaded region in the adjacent diagram represents

(a)

(A∪B)′

(b)

(A∩B)′

(c)

A′∩B′

(d)

A∩B

7. From the adjacent diagram n[P(AΔB)] is

(a)

8

(b)

16

(c)

32

(d)

64

8. In a class of 50 boys, 35 boys play Carrom and 20 boys play Chess then the number of boys play both games is

(a)

5

(b)

30

(c)

15

(d)

10

9. A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

(a)

equal set

(b)

equivalent sets

(c)

overlapping sets

(d)

disjoint sets

10. Number of subsets in set A = {1,2,3} is ________

(a)

3

(b)

6

(c)

8

(d)

9

11. The set (A - B) U(B - A) is ___________

(a)

AΔB

(b)

AUB

(c)

A∩B

(d)

A'UB'

12. The set of (A U B) - (A ก B) is ____________

(a)

(AUB)'

(b)

AΔB

(c)

(A∩B)'

(d)

A'UB'

13. The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.

(a)

A ∩ B

(b)

A U B

(c)

A - B

(d)

A Δ B

14. The number of elements of the set {x : x ∈ Z, x2 = I} is ________

(a)

0

(b)

1

(c)

2

(d)

3

15. The shade region with adjoint diagram represents ___________

(a)

A - B

(b)

B - A

(c)

A'

(d)

B'

16. Part B

5 x 2 = 10
17. Insert the appropriate symbol $\subseteq$ or $\nsubseteq$ in each blank to make a true statement.
{10, 20, 30} ____ {10, 20, 30, 40}

18. Find the number of subsets and the number of proper subsets of a set X={a, b, c, x, y, z}.

19. If U = {c, d, e, f, g, h, i, j} and A = { c, d, g, j} , find A′.

20. If A={1, 2, 6} and B={2, 3, 4} , find A∪B.

21. If P={m, n} and Q= {m, i, j}, represent P and Q in Venn diagram and find P∪Q.

22. Part C

5 x 3 = 15
23. Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

24. Insert the appropriate symbol ∈ (belongs to) or ∉ (does not belong to) in the blanks.

25. Given that A = {1,3,5,7} B = {1,2,4,6,8}. Find (i) AΔB and (it) BΔA

26. From the venn-diagram, list the following:

(i) A
(ii) B
(iii) A ∩ B
(iv) AU B
(v) A-B
(vi) B-A
(vii) (A - B) ∩ (B - A)

27. In a class there are 40 students. 26 have opted for Mathematics and 24 have opted for Science. How many student have opted for Mathematics and Science.