#### Set Language Model Question Paper

9th Standard

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. 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

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

(a)

0

(b)

1

(c)

2

(d)

3

3. The shaded region in the venn diagram is

(a)

$A\cup B$

(b)

$A\cap B$

(c)

$\left( A\cap B \right) ^{ ' }$

(d)

$\left( A-B \right) \cup \left( B-A \right)$

4. If A,B,C are non-overlapping sets,then n $\left( A\cap B\cap C \right)$ is ___________

(a)

n(A) + n(B) + n(C)

(b)

$n\left( A\cup B\cup C \right)$

(c)

0

(d)

$n\left( A\cap B \right)$

5. For any three sets,P,Q,R$\left( P\cap Q \right) ^{ ' }$

(a)

${ P }^{ ' }\cup { Q }^{ ' }$

(b)

$P\cup Q$

(c)

${ P }^{ ' }$

(d)

${ Q }^{ ' }$

6. 5 x 2 = 10
7. Write the following in "Roster" form?
(a) A = set of the months having 31 days.
(b) B = {x : x is a natural number of 2 digits divisible by 13}
(c) C = {set of vowels in the word "father"}
(d) D = {x : 5 < x < 10 ; x ∈ N}
(e) E = {x: x is a square natural number less than 16}

8. In a class of 50 students, each of the students passed either in mathematics or in science or in both. 10 students passed in both and 28 passed in science. Find how many students passed in mathematics only

9. IfA= {1,2,3} B= {3,5,6} C={3,4,7}.Find(i)A-(BUC) (ii) BΔC (iii)AΔB

10. State Associative property of sets.

11. State the formula to find $n\left( A\cup B\cup C \right)$

12. 5 x 3 = 15
13. Given that A = {1,3,5,7} B = {1,2,4,6,8}. Find (i) AΔB and (it) BΔA

14. 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)

15. 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.

16. If A={2,5,6,7} and B={3,5,7,8}, then verify the commulative property of : union sets

17. If A={2,5,6,7} and B={3,5,7,8}, then verify the commulative property of : intersection of sets

18. 4 x 5 = 20
19. Discuss with your friends and give examples of subsets of sets from your daily life situation.

20. Fill in the blanks with appropriate cardinal numbers

S.No n(A) n(B) n(AUB) n(A∩B) n(A-B) n(B-A)
1 30 45 65
2 20   55 10
3 50 65   25
4 30 43 70
21. If A = {1, 3, 5, 7, 9},B = {x: x is a composite number and x<12} and C={ x:x$\in$ N and 6<<10} the verify $A\cup \left( B\cap C \right) =\left( A\cup B \right) \cap \left( A\cup C \right)$

22. If A=$\left\{ \cfrac { 1 }{ 2 } ,1\cfrac { 5 }{ 4 } ,\cfrac { 7 }{ 4 } ,3 \right\}$ ,B=$\left\{ 1\cfrac { 5 }{ 4 } ,\cfrac { 7 }{ 4 } ,3\cfrac { 7 }{ 2 } \right\}$ Now and C=$\left\{ \cfrac { 1 }{ 2 } ,\cfrac { 5 }{ 4 } ,2,3\cfrac { 7 }{ 2 } \right\}$, then verify $A\cap \left( B\cap C \right)$= $\left( A\cap B \right) \cap C$