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


2. The intersection of two infinite sets is


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


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


5. The set of all real transcendental numbers is


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


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


8. The signm function is not continuous at


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


10. what is supremum and infimum of R is


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


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


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


14. Cauchy sequence of real numbers is


15. Which of the following has not multiplicative inverse


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


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


18. Natural numbers and integers are


19. Real number system consist of


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


21. The converse of Cauchy integral theorem is known as


22. The set of real number can be denoted as


23. Supremum and infimum of an empty set is


24. The range of sequence


25. Every bounded sequence has a subsequence which


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


27. Set Q of the all rational numbers is


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


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


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


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


32. Every constant sequence is


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


34. In a complete metric space


35. which of the following statements is not correct ?


36. (-∞)+(+∞)=


37. A convergent sequence converges to


38. which series is divergent series


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


40. (Q, +, .) is


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


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


43. Every superset of an infinite set is


44. An improper Reimann Integral can without infinite


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


46. Natural Numbers are


47. Set of numbers which have ordered fields


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


49. If a function is strictly monotone then It is


50. An improper Reimann Integral can without infinite


51. If least upper bound exists  then it is


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


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


54. Every subset of a finite set is


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


56. which function is continuous everywhere


57. The set of all real algebric numbers is


58. Set of natural number is


59. Sup (X) =


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


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


62. The greatest lower bound of a set


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


64. A sequence is a function whose domain is


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


66. The set of negative integers is


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


68. which of the following is not countable set


69. If f is contractive then f 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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