# 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.

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Real Analysis MCQs at www.pakmath.com

1. Sup (X) =

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

3. which series is divergent series

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

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

6. Real number system consist of

7. If least upper bound exists  then it is

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

9. Natural Numbers are

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

11. The range of sequence

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

13. If $\dpi{120}&space;\small&space;x&space;,&space;y&space;\in&space;R$ then

14. In a complete metric space

15. Set of natural number is

16. which function is continuous everywhere

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

18. An improper Reimann Integral can without infinite

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

20. Natural numbers and integers are

21. Every bounded sequence has a subsequence which

22. The greatest lower bound of a set

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

24. Cauchy sequence of real numbers is

25. If a function is strictly monotone then It is

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

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

28. (Q, +, .) is

29. $\dpi{120}&space;\small&space;\frac{(-1)&space;^{n-1}}{n!}$ converges to limit

30. An improper Reimann Integral can without infinite

31. The set of all real algebric numbers is

32. what is supremum and infimum of R is

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

34. (-∞)+(+∞)=

35. which of the following is not countable set

36. If f is contractive then f is

37. The converse of Cauchy integral theorem is known as

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

39. Every superset of an infinite set is

40. which of the following statements is not correct ?

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

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

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

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

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

46. A sequence is a function whose domain is

47. The set of negative integers is

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

49. Supremum and infimum of $\dpi{120}&space;\small&space;{&space;(-1)^x&space;}&space;:&space;x&space;\in&space;N$

50. A convergent sequence converges to

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

52. The set of all real transcendental numbers is

53. Set Q of the all rational numbers is

54. Set of numbers which have ordered fields

55. The intersection of two infinite sets is

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

57. Every subset of a finite set is

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

59. The signm function is not continuous at

60. The set of real number can be denoted as

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

62. Which of the following has not multiplicative inverse

63. Supremum and infimum of an empty set is

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

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

66. {$\dpi{120}&space;\small&space;{1&space;+&space;(-1)^n&space;}$} is

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

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

69. Every constant sequence is

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## 8 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

6. baby kalita says:

Good questions for revision.

7. Zia urrehman says:

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8. REHANA IQBAL says:

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