# Real Analysis MCQs 01 for NTS, PPSC, FPSC Real Analysis MCQs 01 consist of 69 most repeated and most important questions. So prepare real analysis to attempt these questions.

Real Analysis MCQs at www.pakmath.com

1. Every bounded sequence has a subsequence which

2. Every non empty bounded set of real numbers has a infimum . This property is referred to as

3. Every infinite sequence in a compact metric space has a subsequence which

4. Supremum and infimum of an empty set is

5. If f is differentiable in [ a, b] then it is monotonically decreasing if

6. The set of all real transcendental numbers is

7. An improper Reimann Integral can without infinite

8. If a sequence is unbounded or it does not converge then this sequence is called

9. If function is Reimanns integrable on [ a, b] then function must be

10. Every superset of an infinite set is

11. Bounded monotonic sequence will be decreasing if it converges to its

12. If S={1\n | n £ N } the g.l.b of S is

13. Supremum and infimum of

14. (-∞)+(+∞)=

15. If f'(x) exists then it is constant function

16. The set of all ___________ numbers form a sequence.

17. If a function is strictly monotone then It is

18. An improper Reimann Integral can without infinite

19. The sequence of real numbers is ________ if and only if it is cauchy sequence.

20. If f is differentiable at x ε [ a, b] then f at x is

21. Let S be a set of real numbers. Then S has a supremum if S has

22. If least upper bound exists  then it is

23. Which of the following has not multiplicative inverse

24. If L is the tangent line to a function f at x = a then

25. If f is differentiable in [ a, b] then it is monotonically increasing if

26. The set of all real algebric numbers is

27. Every subset of a finite set is

28. Cauchy sequence of real numbers is

29. The intersection of two infinite sets is

30. No polynomial of degree _________ is Lipschitzian on R .

31. what is supremum and infimum of R is

32. If g.l.b of a set belong to the set then

33. which of the following statements is not correct ?

34. Every pair of real numbers a and b satisfied the following conditions a >  b, a = b, a < b . This property known as

35. If we have an inflection point x = a then

36. A sequence is said to be divergent if it is

37. Bounded monotonic sequence will be increasing if it converges to its

38. A sequence is a function whose domain is

39.  converges to limit

40. The function f(x)= x + 1/x is uniformly continuous on

41. Natural numbers and integers are

42. A metric (X,d) is complete if every cauchy sequence in X

43. The signm function is not continuous at

44. A continuous function from bounded [a , b] to R

45. which function is continuous everywhere

46. Sup (X) =

47. The range of sequence

48. For two real numbers x and y with x > 0 , there exist a natural number n s.t

49. Set of natural number is

50. {} is

51. The greatest lower bound of a set

52. The set of real number can be denoted as

53. If f is real valued and monotonic on [a , b] then f is

54. In a complete metric space

55. For every closed subset of R , the real line is

56. which series is divergent series

57. If f is contractive then f is

58. Natural Numbers are

59. If  then

60. which of the following is not countable set

61. If there exists a bijection of N onto S then set is known as

62. (Q, +, .) is

63. The set of negative integers is

64. The converse of Cauchy integral theorem is known as

65. Real number system consist of

66. Every constant sequence is

67. Set of numbers which have ordered fields

68. A convergent sequence converges to

69. Set Q of the all rational numbers is

## 5 Replies to “Real Analysis MCQs 01 for NTS, PPSC, FPSC”

1. Shilpa Amble says:

I really enjoyed the rest. Questions were nicely Framed. Thank you!!!

2. J JANANI says:

nice iam interesed quesions are chosen good.Thank you

3. SMB says:

A.o.A Sir, I’m a student of Bs (Hons) Mathematics studying pure maths currently, my 6th semester’s finals+mids (online MCQs) are just around the corner and my whole class is nervous.
If you could provide us with some already written or saved MCQs about the following subjects, we’ll be forever thankful.

Introduction to Topology
Real Analysis II
Mathematical Statistics
Classical Mechanics
Number Theory

4. Ali says:

yes sir
plz provide us Mcqz of
Mathematical Methods
Real Analysis 2
classiscal Mechnics

5. Febila Mercy M says:

Thank you. Good choosen