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. Natural numbers and integers are


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


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


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


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


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


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


8. The intersection of two infinite sets is


9. If least upper bound exists  then it is


10. (Q, +, .) is


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


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


13. which of the following is not countable set


14. In a complete metric space


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


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


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


18. Set of natural number is


19. An improper Reimann Integral can without infinite


20. If f is contractive then f is


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


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


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


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


25. A convergent sequence converges to


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


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


28. which of the following statements is not correct ?


29. If a function is strictly monotone then It is


30. Set Q of the all rational numbers is


31. The set of all real algebric numbers is


32. The set of negative integers is


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


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


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


36. what is supremum and infimum of R is


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


38. Set of numbers which have ordered fields


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


40. The greatest lower bound of a set


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


42. The set of all real transcendental numbers is


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


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


45. Sup (X) =


46. which series is divergent series


47. A sequence is a function whose domain is


48. Real number system consist of


49. The set of real number can be denoted as


50. Cauchy sequence of real numbers is


51. Every bounded sequence has a subsequence which


52. Natural Numbers are


53. which function is continuous everywhere


54. Every superset of an infinite set is


55. (-∞)+(+∞)=


56. Every subset of a finite set is


57. An improper Reimann Integral can without infinite


58. The range of sequence


59. The signm function is not continuous at


60. Which of the following has not multiplicative inverse


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


62. Supremum and infimum of an empty set is


63. Every constant sequence is


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


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


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


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


68. The converse of Cauchy integral theorem is known as


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



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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