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

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Vector and tensor analysis mcqs with answers

Real Analysis MCQs at

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


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