Home / Real Analysis MCQs / Real Analysis MCQs with answers

Real Analysis MCQs with answers

Real Analysis MCQs with answers

Real Analysis MCQs with answers
Real Analysis MCQs with answers

Soultion of Book differential equation Boundary Value Problem &th Editions By DG ZILL

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

Click here for Real Analysis MCQs 02

Vector and tensor analysis mcqs with answers

Real Analysis MCQs at www.pakmath.com

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

4. The set of all real algebric numbers is

 
 
 
 

5. (Q, +, .) is

 
 
 
 

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

 
 
 
 

7. Real number system consist of

 
 
 
 

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

 
 
 
 

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

 
 
 
 

10. Every superset of an infinite set is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

13. Set Q of the all rational numbers is

 
 
 
 

14. The greatest lower bound of a set

 
 
 
 

15. which function is continuous everywhere

 
 
 
 

16. A sequence is a function whose domain is

 
 
 
 

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

 
 
 
 

18. which series is divergent series

 
 
 
 

19. The intersection of two infinite sets is

 
 
 
 

20. which of the following is not countable set

 
 
 
 

21. An improper Reimann Integral can without infinite

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

25. If \dpi{120} \small x , y \in R then

 
 
 
 

26. {\dpi{120} \small {1 + (-1)^n }} is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

29. (-∞)+(+∞)=

 
 
 
 

30. Natural Numbers are

 
 
 
 

31. The signm function is not continuous at

 
 
 
 

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

 
 
 
 

33. Natural numbers and integers are

 
 
 
 

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

 
 
 
 

35. The set of negative integers is

 
 
 
 

36. \dpi{120} \small \frac{(-1) ^{n-1}}{n!} converges to limit

 
 
 
 

37. The range of sequence

 
 
 
 

38. If least upper bound exists  then it is

 
 
 
 

39. Supremum and infimum of \dpi{120} \small { (-1)^x } : x \in N

 
 
 
 

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

 
 
 
 

41. Supremum and infimum of an empty set is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

44. The set of all real transcendental numbers is

 
 
 
 

45. Set of numbers which have ordered fields

 
 
 
 

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

 
 
 
 

47. If a function is strictly monotone then It is

 
 
 
 

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

 
 
 
 

49. Sup (X) =

 
 
 
 

50. The set of real number can be denoted as

 
 
 
 

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

 
 
 
 

52. A convergent sequence converges to

 
 
 
 

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

 
 
 
 

54. The converse of Cauchy integral theorem is known as

 
 
 
 

55. Every bounded sequence has a subsequence which

 
 
 
 

56. Cauchy sequence of real numbers is

 
 
 
 

57. An improper Reimann Integral can without infinite

 
 
 
 

58. If f is contractive then f is

 
 
 
 

59. Which of the following has not multiplicative inverse

 
 
 
 

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

 
 
 
 

61. Every subset of a finite set is

 
 
 
 

62. In a complete metric space

 
 
 
 

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

 
 
 
 

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

 
 
 
 

65. Every constant sequence is

 
 
 
 

66. which of the following statements is not correct ?

 
 
 
 

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

 
 
 
 

68. what is supremum and infimum of R is

 
 
 
 

69. Set of natural number 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 comments

  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

  5. Febila Mercy M

    Thank you. Good choosen

  6. Good questions for revision.

  7. Its good

  8. GOOD ALLAH BLESS WILL BLESS YOU WHAT YOU WANT YOU ARE DOING BEST FOR EVERY STUDENT

Leave a Reply

Your email address will not be published. Required fields are marked *