#### Set Language Important Questions

9th Standard

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Maths

Time : 02:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. If B ⊆ A then n(A∩B) is

(a)

n(A – B)

(b)

n(B)

(c)

n(B – A)

(d)

n(A)

2. If B – A is B, then A∩B is

(a)

A

(b)

B

(c)

U

(d)

3. If X = {x : x = 4(n – 1), n ∈ N} and Y = {y : y = 3n – 2n – 1, n ∈ N}, then X∪Y is

(a)

W

(b)

X

(c)

Y

(d)

N

4. 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

5. If A is a proper subset ofB, then A ∩ B = __________

(a)

A

(b)

B

(c)

Ø

(d)

A U B

6. 5 x 1 = 5
7. Consider the set A = {Ashwin, Muralivijay , Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol $\in$ or $\notin$.

()

Badrinath $\in$ A.

8. Consider the set A = {Ashwin, Muralivijay , Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol $\in$ or $\notin$.
Tendulkar _____ A.

()

Tendulkar $\notin$ A

9. Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
4 _____ B.

()

$\in$

10. If A ⊆ B, then A - B is __________

()

Ø

11. If A and B are two finite sets such that n(A - B) = 30, n(A UB) = 180, then n(B) is ___________

()

150

12. 5 x 2 = 10
13. Write the set of letters of the following words in Roster form
PRINCIPAL

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

15. Draw a Venn diagram similar to one at the side and shade the region representing the following sets

A′

16. In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. Find
(i) The number of students who take part in only music.
(ii) The number of students who take part in only drama.
(iii) The total number of students in the class.

17. Find the symmetric difference between the following sets. X = {5, 6, 7} and Y={5, 7, 9, 10}

18. 5 x 3 = 15
19. 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?

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

21. 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)

22. 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.

23. In a mathematics class,20 children forgot to bring their rulers,17 children forgot to bring their pencil and 5 children forgot to bring both ruler and pencil. Then find the number of children
(i) who forgot to bring only pencil .
(ii) who forgot to bring only ruler .
(iii) in the class

24. 3 x 5 = 15
25. Write the following sets in respective forms.

S.No Descriptive Form Set Builder Form Roster Form
1 The set of all natural numbers less than 10
2   {x : x is a multiple of 3, x ∈ N}
3     {2,4,6,8,10}
4 The set of all days in a week
5     {..., -3,-2,-1 ,0,1,2,3 ...}
26. 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
27. In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who
(i) like both tea and coffee.
(ii) do not like Tea.
(iii) do not like coffee