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

2. The intersection of two infinite sets is

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

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

5. The set of all real transcendental numbers is

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

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

8. The signm function is not continuous at

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

10. what is supremum and infimum of R is

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

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

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

14. Cauchy sequence of real numbers is

15. Which of the following has not multiplicative inverse

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

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

18. Natural numbers and integers are

19. Real number system consist of

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

21. The converse of Cauchy integral theorem is known as

22. The set of real number can be denoted as

23. Supremum and infimum of an empty set is

24. The range of sequence

25. Every bounded sequence has a subsequence which

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

27. Set Q of the all rational numbers is

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

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

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

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

32. Every constant sequence is

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

34. In a complete metric space

35. which of the following statements is not correct ?

36. (-∞)+(+∞)=

37. A convergent sequence converges to

38. which series is divergent series

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

40. (Q, +, .) is

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

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

43. Every superset of an infinite set is

44. An improper Reimann Integral can without infinite

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

46. Natural Numbers are

47. Set of numbers which have ordered fields

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

49. If a function is strictly monotone then It is

50. An improper Reimann Integral can without infinite

51. If least upper bound exists  then it is

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

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

54. Every subset of a finite set is

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

56. which function is continuous everywhere

57. The set of all real algebric numbers is

58. Set of natural number is

59. Sup (X) =

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

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

62. The greatest lower bound of a set

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

64. A sequence is a function whose domain is

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

66. The set of negative integers is

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

68. which of the following is not countable set

69. If f is contractive then f 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:

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6. baby kalita says:

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