Real Analysis MCQs with answers

Real Analysis MCQs with answers

Real Analysis MCQs with answers
Real Analysis MCQs with answers

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. Natural Numbers are

 
 
 
 

2. The set of all real transcendental numbers is

 
 
 
 

3. A sequence is a function whose domain is

 
 
 
 

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

 
 
 
 

5. Every constant sequence is

 
 
 
 

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

 
 
 
 

7. The set of real number can be denoted as

 
 
 
 

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

 
 
 
 

9. If least upper bound exists  then it is

 
 
 
 

10. Real number system consist of

 
 
 
 

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

 
 
 
 

12. which of the following is not countable set

 
 
 
 

13. what is supremum and infimum of R is

 
 
 
 

14. Set of numbers which have ordered fields

 
 
 
 

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

 
 
 
 

16. Every bounded sequence has a subsequence which

 
 
 
 

17. (Q, +, .) is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

21. A convergent sequence converges to

 
 
 
 

22. (-∞)+(+∞)=

 
 
 
 

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

 
 
 
 

24. The range of sequence

 
 
 
 

25. which of the following statements is not correct ?

 
 
 
 

26. Every subset of a finite set is

 
 
 
 

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

 
 
 
 

28. which series is divergent series

 
 
 
 

29. An improper Reimann Integral can without infinite

 
 
 
 

30. The set of negative integers is

 
 
 
 

31. In a complete metric space

 
 
 
 

32. An improper Reimann Integral can without infinite

 
 
 
 

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

 
 
 
 

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

 
 
 
 

35. Every superset of an infinite set is

 
 
 
 

36. The set of all real algebric numbers is

 
 
 
 

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

 
 
 
 

38. Which of the following has not multiplicative inverse

 
 
 
 

39. Natural numbers and integers are

 
 
 
 

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

 
 
 
 

41. The converse of Cauchy integral theorem is known as

 
 
 
 

42. If a function is strictly monotone then It is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

47. The signm function is not continuous at

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

51. The intersection of two infinite sets is

 
 
 
 

52. If f is contractive then f is

 
 
 
 

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

 
 
 
 

54. The greatest lower bound of a set

 
 
 
 

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

 
 
 
 

56. Cauchy sequence of real numbers is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

60. Sup (X) =

 
 
 
 

61. Set Q of the all rational numbers is

 
 
 
 

62. Supremum and infimum of an empty set is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

67. Set of natural number is

 
 
 
 

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

 
 
 
 

69. which function is continuous everywhere

 
 
 
 

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 Replies to “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

  2. 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.