Real Analysis MCQs with answers

Real Analysis MCQs with answers

Real Analysis MCQs with answers
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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Vector and tensor analysis mcqs with answers

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} \small {1 + (-1)^n }} 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} \small { (-1)^x } : x \in 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} \small \frac{(-1) ^{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} \small x , y \in 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. 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

    Reply

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