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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. The intersection of two infinite sets is


2. (Q, +, .) is


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


4. The set of real number can be denoted as


5. An improper Reimann Integral can without infinite


6. A sequence is a function whose domain is


7. Every subset of a finite set is


8. Which of the following has not multiplicative inverse


9. (-∞)+(+∞)=


10. If least upper bound exists  then it is


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


12. An improper Reimann Integral can without infinite


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


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


15. Cauchy sequence of real numbers is


16. Set of natural number is


17. Set Q of the all rational numbers is


18. The greatest lower bound of a set


19. Real number system consist of


20. The set of negative integers is


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


22. Every bounded sequence has a subsequence which


23. Supremum and infimum of an empty set is


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


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


26. Natural numbers and integers are


27. which series is divergent series


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


29. The converse of Cauchy integral theorem is known as


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


31. Every superset of an infinite set is


32. Set of numbers which have ordered fields


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


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


35. which function is continuous everywhere


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


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


38. The signm function is not continuous at


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


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


41. Every constant sequence is


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


43. A convergent sequence converges to


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


45. what is supremum and infimum of R is


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


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


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


49. In a complete metric space


50. If f is contractive then f is


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


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


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


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


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


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


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


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


59. Natural Numbers are


60. which of the following statements is not correct ?


61. The set of all real algebric numbers is


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


63. which of the following is not countable set


64. Sup (X) =


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


66. If a function is strictly monotone then It is


67. The set of all real transcendental numbers is


68. The range of sequence


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


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


  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


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