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


2. The converse of Cauchy integral theorem is known as


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


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


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


6. which of the following statements is not correct ?


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


8. The set of all real transcendental numbers is


9. Set of natural number is


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


11. The range of sequence


12. Set Q of the all rational numbers is


13. A sequence is a function whose domain is


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


15. If a function is strictly monotone then It is


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


17. The set of all real algebric numbers is


18. A convergent sequence converges to


19. Every bounded sequence has a subsequence which


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


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


22. Every constant sequence is


23. If least upper bound exists  then it is


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


25. In a complete metric space


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


27. (Q, +, .) is


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


29. The greatest lower bound of a set


30. Cauchy sequence of real numbers is


31. Every superset of an infinite set is


32. If f is contractive then f is


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


34. An improper Reimann Integral can without infinite


35. The signm function is not continuous at


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


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


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


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


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


41. Which of the following has not multiplicative inverse


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


43. which function is continuous everywhere


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


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


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


47. what is supremum and infimum of R is


48. Set of numbers which have ordered fields


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


50. The set of negative integers is


51. Every subset of a finite set is


52. The set of real number can be denoted as


53. (-∞)+(+∞)=


54. The intersection of two infinite sets is


55. Real number system consist of


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


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


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


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


60. which series is divergent series


61. An improper Reimann Integral can without infinite


62. Sup (X) =


63. Natural numbers and integers are


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


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


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


67. which of the following is not countable set


68. Supremum and infimum of an empty set is


69. Natural Numbers are



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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