DEPARTMENT OF PRE UNIVERSITY EDUCATION

QUESTION BANK I PU MATHEMATICS

DEPARTMENT OF PRE UNIVERSITY EDUCATION

Department of Pre-university Education

1

CONTENTS

Chapter CHAPTER -1 CHAPTER -2 CHAPTER-3 CHAPTER-4 CHAPTER-5 CHAPTER-6 CHAPTER-7 CHAPTER-8 CHAPTER-9 CHAPTER-10 CHAPTER-11 CHAPTER-12 CHAPTER-13 CHAPTER-14 CHAPTER-15 CHAPTER-16

Topic SETS RELATIONS AND FUNCTIONS TRIGONOMETRIC FUNCTIONS PRINCIPLE OF MATHEMATICAL INDUCTION COMPLEX NUMBERS AND QUADRATIC EQUATIONS LINEAR INEQUALITIES PERMUTATIONS AND COMBINATIONS BINOMIAL THEOREM SEQUENCE AND SERIES STRAIGHT LINES CONIC SECTIONS INTRODUCTION TO THREE DIMENSIONAL GEOMETRY LIMITS AND DERIVATIVES MATHEMATICAL REASONING STATISTICS PROBABILITY

Department of Pre-university Education

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CHAPTER-1

SETS

ONE MARK QUESTIONS:

1. Is the collection of all the months of a year beginning with the letter J a set? Justify your answer. (U)

2. Is the collection of ten most talented writers of India a set? Justify your answer.

(U)

3. Is the collection of all boys in your class a set? Justify your answer.

(U)

4. Is the collection of all natural numbers less than 100 a set? Justify your answer.

(U)

5. Is the collection of all even integers a set? Justify your answer.

(U)

6. Is the collection of all most dangerous animals of the world a set? Justify your answer.

(U)

7. Is the following pairs of sets are equal?Justify your answer.

A = { : ,

4} and B ={ :

- 3 + 2 = 0}.

(U)

8. State whether the set of lines which are parallel to the x-axis is finite or infinite.

(U)

9. State whether A = B or not, where A = {2, 4, 6, 8, 10} and B = { :

10}. (U)

10. Are the sets {1, 2, 3, 4}and { :

4 6} disjoint?

(U)

11. State whether the following statement is true or false. Justify your answer.

{ , , , }and{ , , , } are disjoint sets.

(U)

12. Write the set { :

< 40} in roster form.

(U)

13. Write the set A = {1, 4, 9, 16, 25, } in the set-builder form.

(U)

14. Write the set , , , , , in the set-builder form.

(U)

15. Write the set { : 16. Write the set { : 17. Write the set{ : 18. Write the set{ : 19. Write the set{ : 20. Write the set{ :

21. Write the set { :

+ 1 = 1} in roster form. 18 } in roster form.

- 9 = 0} in roster form. - 3 < < 7} in roster form.

6} in roster form.

60} in roster form.

(U) (U) (U) (U) (U) 8} in roster form. (U) (U)

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22. Write the set of all letters in the word TRIGONOMETRY in roster form.

(U)

23. Write the set of all letters of the word BETTER in roster form.

(U)

24. Write the set{3, 6, 9, 12} in the set-builder form.

(U)

25. Write the set{2, 4, 8, 16, 32} in the set-builder form.

(U)

26. Write the set{5, 25, 125, 625} in the set-builder form.

(U)

27. Write the set {2, 4, 6, } in the set-builder form.

(U)

28. Write the set{1, 4, 9, , 100} in the set-builder form.

(U)

29. Write the set = { :

} in roster form.

(U)

30. Write the set A = :

, - < < in roster form.

(U)

31. Write the set A = { :

, 4 } in roster form.

(U)

32. Write the set A = { :

} in roster form.

(U)

33. Write the set A = { :

31 } in roster form.

(U)

34. Write the set A = { :

} in roster form. (U)

35. Write the set A = { :

6} in roster form.

(U)

36. Write the set A = { :

10} in roster form.

(U)

37. Write the set A = { :

6} in roster form.

(U)

38. Write the set A = { :

}in roster form.

(U)

39. Define an empty set.

(K)

40. Define a finite set.

(K)

41. Define equal sets.

(K)

42. Define a subset of a set.

(K)

43. Define power set of a set.

(K)

44. Write down all the subsets of the set { }.

(U)

45. Write down all the subsets of the set { , }.

(U)

46. Write down all the subsets of the set .

(U)

47. How many elements has P(A), if A = ?

(U)

48. Write the set { : , -4 < 6 } as an interval.

(U)

49. Write the set { : , -12 < < -10} as an interval.

(U)

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50. Write the set{ : , 0 < 7} as an interval.

(U)

51. Write the set{ : , 3 4} as an interval.

(U)

52. Write the interval (-3, 0) in the set-builder form.

(U)

53. Write the interval [6, 12] in the set-builder form.

(U)

54. Write the interval(6, 12] in the set-builder form.

(U)

55. Write the interval [-23, 5) in the set-builder form.

(U)

56. Define union of two sets.

(K)

57. Let A = {2, 4, 6, 8} and B = {6, 8, 10, 12}. Find AUB.

(U)

58. Let A = { , , , } and B = { , , }. Find AUB.

(U)

59. Let X = { ,

,

} be the set of students of class XI, who are in school hockey team. Let Y =

{

,

, } be the set of students from class XI who are in the school football team. Find XUY. (A)

60. Define intersection of two sets.

(K)

61. Let A = {2, 4, 6, 8} and B ={6, 8, 10, 12}. Find AB.

(U)

62. Let X = { ,

,

} be the set of students of class XI, who are in school hockey team. Let Y =

{

,

, } be the set of students from class XI who are in the school football team. Find XY. (A)

63. If A = { :

} and B = { :

}, find . (U)

64. If A = { :

} and B = { :

}, find . (U)

65. If A = { :

} and B = { :

}, find .

(U)

66. If A = { :

} and B = { :

}, find . (U)

67. If A = { :

} and B = { :

}, find . (U)

68. If A = { :

} and B = { :

}, find .

(U)

69. Find the union of the sets A = { :

3} and

B={ :

6}.

(U)

70. Find the union of the sets A = { :

1 < 6} and

B={ :

6 < < 10}.

(U)

71. Find the intersection of the sets A = { :

3} and

B={ :

6}.

(U)

72. Find the intersection of the sets A = { :

1 < 6} and

B={ :

6 < < 10}.

(U)

Department of Pre-university Education

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