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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

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Vector and tensor analysis mcqs with answers

Real Analysis MCQs at www.pakmath.com

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

 
 
 
 

2. If a function is strictly monotone then It is

 
 
 
 

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

 
 
 
 

4. The range of sequence

 
 
 
 

5. If f is contractive then f is

 
 
 
 

6. Supremum and infimum of an empty set is

 
 
 
 

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

 
 
 
 

8. The signm function is not continuous at

 
 
 
 

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

 
 
 
 

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

 
 
 
 

11. Real number system consist of

 
 
 
 

12. In a complete metric space

 
 
 
 

13. A sequence is a function whose domain is

 
 
 
 

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

 
 
 
 

15. The intersection of two infinite sets is

 
 
 
 

16. The greatest lower bound of a set

 
 
 
 

17. Which of the following has not multiplicative inverse

 
 
 
 

18. The set of all real transcendental numbers is

 
 
 
 

19. The set of negative integers is

 
 
 
 

20. (-∞)+(+∞)=

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

25. Set Q of the all rational numbers is

 
 
 
 

26. what is supremum and infimum of R is

 
 
 
 

27. Cauchy sequence of real numbers is

 
 
 
 

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

 
 
 
 

29. which function is continuous everywhere

 
 
 
 

30. An improper Reimann Integral can without infinite

 
 
 
 

31. (Q, +, .) is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

37. The set of real number can be denoted as

 
 
 
 

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

 
 
 
 

39. Natural numbers and integers are

 
 
 
 

40. Every subset of a finite set is

 
 
 
 

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

 
 
 
 

42. which series is divergent series

 
 
 
 

43. Set of natural number is

 
 
 
 

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

 
 
 
 

45. The set of all real algebric numbers is

 
 
 
 

46. which of the following statements is not correct ?

 
 
 
 

47. If least upper bound exists  then it is

 
 
 
 

48. Every superset of an infinite set is

 
 
 
 

49. Every constant sequence is

 
 
 
 

50. Sup (X) =

 
 
 
 

51. An improper Reimann Integral can without infinite

 
 
 
 

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

 
 
 
 

53. which of the following is not countable set

 
 
 
 

54. Every bounded sequence has a subsequence which

 
 
 
 

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

 
 
 
 

56. Natural Numbers are

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

63. A convergent sequence converges to

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

67. Set of numbers which have ordered fields

 
 
 
 

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

 
 
 
 

69. The converse of Cauchy integral theorem is known as

 
 
 
 

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

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