#### Set Language Book Back Questions

9th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
3 x 1 = 3
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 A = {x, y, z} then the number of non - empty subsets of A is

(a)

8

(b)

5

(c)

6

(d)

7

3. If B – A is B, then A∩B is

(a)

A

(b)

B

(c)

U

(d)

4. 4 x 1 = 4
5. Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
3$\in$ ______

()

A

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

()

C

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

()

$\notin$

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

()

$\in$

9. 3 x 1 = 3
10. Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
10$\in$B

(a) True
(b) False
11. Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
5$\in$B

(a) True
(b) False
12. Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
0$\in$B

(a) True
(b) False
13. 3 x 2 = 6
14. Find the number of subsets and the number of proper subsets of a set X={a, b, c, x, y, z}.

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

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

17. 3 x 3 = 9
18. 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?

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

20. 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

21. 1 x 5 = 5
22. 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