Real Analysis MCQs 01 for NTS, PPSC, FPSC

Real Analysis mcqs

Real Analysis MCQs 01 consist of 69 most repeated and most important questions. So prepare real analysis to attempt these questions.

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Real Analysis MCQs at

1. Every bounded sequence has a subsequence which


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


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


4. Supremum and infimum of an empty set is


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


6. The set of all real transcendental numbers is


7. An improper Reimann Integral can without infinite


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


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


10. Every superset of an infinite set is


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


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


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


14. (-∞)+(+∞)=


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


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


17. If a function is strictly monotone then It is


18. An improper Reimann Integral can without infinite


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


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


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


22. If least upper bound exists  then it is


23. Which of the following has not multiplicative inverse


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


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


26. The set of all real algebric numbers is


27. Every subset of a finite set is


28. Cauchy sequence of real numbers is


29. The intersection of two infinite sets is


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


31. what is supremum and infimum of R is


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


33. which of the following statements is not correct ?


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


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


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


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


38. A sequence is a function whose domain is


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


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


41. Natural numbers and integers are


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


43. The signm function is not continuous at


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


45. which function is continuous everywhere


46. Sup (X) =


47. The range of sequence


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


49. Set of natural number is


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


51. The greatest lower bound of a set


52. The set of real number can be denoted as


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


54. In a complete metric space


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


56. which series is divergent series


57. If f is contractive then f is


58. Natural Numbers are


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


60. which of the following is not countable set


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


62. (Q, +, .) is


63. The set of negative integers is


64. The converse of Cauchy integral theorem is known as


65. Real number system consist of


66. Every constant sequence is


67. Set of numbers which have ordered fields


68. A convergent sequence converges to


69. Set Q of the all rational numbers is



5 Replies to “Real Analysis MCQs 01 for NTS, PPSC, FPSC”

  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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