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


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


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


4. The set of all real algebric numbers is


5. (Q, +, .) is


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


7. Real number system consist of


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


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


10. Every superset of an infinite set is


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


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


13. Set Q of the all rational numbers is


14. The greatest lower bound of a set


15. which function is continuous everywhere


16. A sequence is a function whose domain is


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


18. which series is divergent series


19. The intersection of two infinite sets is


20. which of the following is not countable set


21. An improper Reimann Integral can without infinite


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


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


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


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


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


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


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


29. (-∞)+(+∞)=


30. Natural Numbers are


31. The signm function is not continuous at


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


33. Natural numbers and integers are


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


35. The set of negative integers is


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


37. The range of sequence


38. If least upper bound exists  then it is


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


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


41. Supremum and infimum of an empty set is


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


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


44. The set of all real transcendental numbers is


45. Set of numbers which have ordered fields


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


47. If a function is strictly monotone then It is


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


49. Sup (X) =


50. The set of real number can be denoted as


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


52. A convergent sequence converges to


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


54. The converse of Cauchy integral theorem is known as


55. Every bounded sequence has a subsequence which


56. Cauchy sequence of real numbers is


57. An improper Reimann Integral can without infinite


58. If f is contractive then f is


59. Which of the following has not multiplicative inverse


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


61. Every subset of a finite set is


62. In a complete metric space


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


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


65. Every constant sequence is


66. which of the following statements is not correct ?


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


68. what is supremum and infimum of R is


69. Set of natural number 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


  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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