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


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


3. Every subset of a finite set is


4. A convergent sequence converges to


5. If least upper bound exists  then it is


6. Every superset of an infinite set is


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


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


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


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


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


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


13. Set of numbers which have ordered fields


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


15. Supremum and infimum of an empty set is


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


17. If f is contractive then f is


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


19. In a complete metric space


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


21. The set of all real algebric numbers is


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


23. A sequence is a function whose domain is


24. which series is divergent series


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


26. The set of real number can be denoted as


27. Every constant sequence is


28. Which of the following has not multiplicative inverse


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


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


31. The intersection of two infinite sets is


32. Natural Numbers are


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


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


35. Cauchy sequence of real numbers is


36. (Q, +, .) is


37. An improper Reimann Integral can without infinite


38. Natural numbers and integers are


39. The range of sequence


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


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


42. (-∞)+(+∞)=


43. which function is continuous everywhere


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


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


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


47. Real number system consist of


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


49. An improper Reimann Integral can without infinite


50. which of the following is not countable set


51. The signm function is not continuous at


52. Every bounded sequence has a subsequence which


53. which of the following statements is not correct ?


54. Set Q of the all rational numbers is


55. If a function is strictly monotone then It is


56. The set of all real transcendental numbers is


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


58. The greatest lower bound of a set


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


60. The converse of Cauchy integral theorem is known as


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


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


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


64. The set of negative integers is


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


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


67. Sup (X) =


68. Set of natural number is


69. what is supremum and infimum of R 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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