# Real Analysis MCQs with answers

3000+ Mathematics all subject MCQs with their Answeers

Real Analysis MCQs consist of 69 most repeated and most important questions. So prepare real analysis to attempt these questions. You can also get their answers by clicking on submit button. Finally you will get all correct answers. Good luck

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Real Analysis MCQs at www.pakmath.com

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

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

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

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

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

6. Set of numbers which have ordered fields

7. The greatest lower bound of a set

8. In a complete metric space

9. The set of all real algebric numbers is

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

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

12. If a function is strictly monotone then It is

13. The set of real number can be denoted as

14. Supremum and infimum of an empty set is

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

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

17. An improper Reimann Integral can without infinite

18. An improper Reimann Integral can without infinite

19. A sequence is a function whose domain is

20. Sup (X) =

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

22. Natural Numbers are

23. (-∞)+(+∞)=

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

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

26. (Q, +, .) is

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

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

29. Real number system consist of

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

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

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

33. Set of natural number is

34. Cauchy sequence of real numbers is

35. what is supremum and infimum of R is

36. Every constant sequence is

37. The converse of Cauchy integral theorem is known as

38. which series is divergent series

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

40. The signm function is not continuous at

41. Every bounded sequence has a subsequence which

42. Natural numbers and integers are

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

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

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

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

47. which of the following statements is not correct ?

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

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

50. Every subset of a finite set is

51. Which of the following has not multiplicative inverse

52. A convergent sequence converges to

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

54. The range of sequence

55. Every superset of an infinite set is

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

57. If least upper bound exists  then it is

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

59. which function is continuous everywhere

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

61. If f is contractive then f is

62. which of the following is not countable set

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

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

65. The set of negative integers is

66. The set of all real transcendental numbers is

67. Set Q of the all rational numbers is

68. The intersection of two infinite sets is

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

## Real analysis 2 mcqs with answers

In this section, there are real analysis 2 mcqs with answers. These mcqs consist of 50+ most repeated and most important questions.  These mcqs were prepared according to the pattern of all kinds of test preparations. So prepare these mcqs for preparation of all tests. Good Luck

Mechanics MCQs 01

### 8 thoughts on “Real Analysis MCQs with answers”

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

2. nice iam interesed quesions are chosen good.Thank you

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