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. Sup (X) =


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


3. which series is divergent series


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


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


6. Real number system consist of


7. If least upper bound exists  then it is


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


9. Natural Numbers are


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


11. The range of sequence


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


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


14. In a complete metric space


15. Set of natural number is


16. which function is continuous everywhere


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


18. An improper Reimann Integral can without infinite


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


20. Natural numbers and integers are


21. Every bounded sequence has a subsequence which


22. The greatest lower bound of a set


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


24. Cauchy sequence of real numbers is


25. If a function is strictly monotone then It is


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


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


28. (Q, +, .) is


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


30. An improper Reimann Integral can without infinite


31. The set of all real algebric numbers is


32. what is supremum and infimum of R is


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


34. (-∞)+(+∞)=


35. which of the following is not countable set


36. If f is contractive then f is


37. The converse of Cauchy integral theorem is known as


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


39. Every superset of an infinite set is


40. which of the following statements is not correct ?


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


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


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


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


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


46. A sequence is a function whose domain is


47. The set of negative integers is


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


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


50. A convergent sequence converges to


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


52. The set of all real transcendental numbers is


53. Set Q of the all rational numbers is


54. Set of numbers which have ordered fields


55. The intersection of two infinite sets is


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


57. Every subset of a finite set is


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


59. The signm function is not continuous at


60. The set of real number can be denoted as


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


62. Which of the following has not multiplicative inverse


63. Supremum and infimum of an empty set is


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


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


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


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


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


69. Every constant sequence is


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8 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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