#### Set Language Important Questions

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
10 x 1 = 10
1. Which of the following is correct?

(a)

{7} ∈ {1,2,3,4,5,6,7,8,9,10}

(b)

7 ∈ {1,2,3,4,5,6,7,8,9,10}

(c)

7 ∉ {1,2,3,4,5,6,7,8,9,10}

(d)

{7} $\nsubseteq$ {1,2,3,4,5,6,7,8,9,10}

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

(a)

Singleton set

(b)

Power set

(c)

Null set

(d)

Subset

3. 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)

{ }

4. If B ⊆ A then n(A∩B) is

(a)

n(A – B)

(b)

n(B)

(c)

n(B – A)

(d)

n(A)

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

(a)

8

(b)

5

(c)

6

(d)

7

6. 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

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

(a)

3

(b)

6

(c)

8

(d)

9

8. The set does not have a proper subset is __________

(a)

Finite set

(b)

Infinite set

(c)

Null set

(d)

Singleton set

9. Sets having the same number of elements are called ___________

(a)

overlapping sets

(b)

disjoints sets

(c)

equivalent sets

(d)

equal sets

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

(a)

AΔB

(b)

AUB

(c)

A∩B

(d)

A'UB'

11. 10 x 1 = 10
12. Consider the set A = {Ashwin, Muralivijay , Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol $\in$ or $\notin$.
Muralivijay ____ A.

()

Muralivijay $\in$ A.

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

()

Ashwin $\in$ A.

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

()

Badrinath $\in$ A.

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

()

Ganguly $\notin$ A.

16. 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

17. A is a proper subset of B, then A U B = ______________

()

B

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

()

Ø

19. Sets having atleast one element in common are called ___________

()

overlapping sets

20. If n(A) = 50, n(B) = 35, n(A ⋂ B) = 5, then n(A U B) is equal to

()

80

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

()

150

22. 5 x 2 = 10
23. Write the set of letters of the following words in Roster form
PRINCIPAL

24. If A = {1,2,3,4,5,7,9,11}, find n(A).

25. Are P = { x : –3 ≤ x ≤ 0, x $\in$ Z} and Q = The set of all prime factors of 210, equivalent sets?

26. 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

27. In a class there are 50 students who are offered either History, geography or both. 35 were offered History and 10 were offered History and Geography both. How many students were offered Geography?

28. 5 x 3 = 15
29. 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?

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

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

32. 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)

33. 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.

34. 1 x 5 = 5
35. In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in atleast one subject. Find the total number of students who appeared in the examination, if they took examination in only two subjects.