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

2. {} is

3. Every subset of a finite set is

4. A convergent sequence converges to

5. If least upper bound exists  then it is

6. Every superset of an infinite set is

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

8.  converges to limit

9. If  then

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

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

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

13. Set of numbers which have ordered fields

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

15. Supremum and infimum of an empty set is

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

17. If f is contractive then f is

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

19. In a complete metric space

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

21. The set of all real algebric numbers is

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

23. A sequence is a function whose domain is

24. which series is divergent series

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

26. The set of real number can be denoted as

27. Every constant sequence is

28. Which of the following has not multiplicative inverse

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

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

31. The intersection of two infinite sets is

32. Natural Numbers are

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

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

35. Cauchy sequence of real numbers is

36. (Q, +, .) is

37. An improper Reimann Integral can without infinite

38. Natural numbers and integers are

39. The range of sequence

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

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

42. (-∞)+(+∞)=

43. which function is continuous everywhere

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

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

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

47. Real number system consist of

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

49. An improper Reimann Integral can without infinite

50. which of the following is not countable set

51. The signm function is not continuous at

52. Every bounded sequence has a subsequence which

53. which of the following statements is not correct ?

54. Set Q of the all rational numbers is

55. If a function is strictly monotone then It is

56. The set of all real transcendental numbers is

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

58. The greatest lower bound of a set

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

60. The converse of Cauchy integral theorem is known as

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

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

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

64. The set of negative integers is

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

66. Supremum and infimum of

67. Sup (X) =

68. Set of natural number is

69. what is supremum and infimum of R is

Vector and tensor analysis mcqs with answers

## 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:

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7. Zia urrehman says:

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8. REHANA IQBAL says:

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