Real Analysis Questions and answers

  1. Elementary Mathematics
    1. Quadratic Equations
    2. Simplification
    3. Area and perimeter
    4. Volume and surface area
    5. Geometry
    6. Trigonometry
    7. Polynomials
    8. Height and Distance
    9. Simple and Decimal fraction
    10. Indices and Surd
    11. Logarithms
    12. Trigonometric ratio
    13. Straight lines
    14. Triangle
    15. Circles
    16. Quadrilateral and parallelogram
    17. Loci and concurrency
    18. Statistics
    19. Rectangular and Cartesian products
    20. Rational expression
    21. Set theory
    22. Factorisation
    23. LCM and HCF
    24. Clocks
    25. Real Analysis
91). The set A is said to be ____ if A is equivalent to the set I of positive integers.
A). countable
B). uncountable
C). denumerable
D). none of these
92). A set is said to be ____ if it is equivalent to N, the set of natural numbers.
A). Denumerable
B). Countable
C). Uncountable
D). none of these
93). A set which is not be ____.
A). denumerable set
B). enumerable set
C). uncountable set
D). none of these
94). The set of all rational numbers is x such that \(0\le x \le 1\) is ______.
A). countable
B). uncountable
C). finite
D). none of these
95). The set of all polynomial functions integer coefficients is ____.
A). denumerable
B). countable
C). uncountable
D). none of these


96). The set of all positive rational numbers is _____.
A). countable
B). uncountable
C). finite
D). none of these
97). The set of all polynomial functions with integer coefficients is _____.
A). denumerable
B). countable
C). uncountable
D). none of these
98). The intervals (0,1) and [0,1] are _____.
A). similar
B). equivalent
C). countable
D). none of these
99). If \(f: A\rightarrow B\) and the range of f is uncountable then the domain of f is _____.
A). countable
B). uncountable
C). finite only
D). none of these
100). The set of all characteristic functions on I is
A). countable
B). uncountable
C). denumerable
D). none of these
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