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Arithmetic Aptitude :: Sets, Relations and Functions

Sets, Relations and Functions - Section-1
  1.  Let R= {(x,y) :x, y belong to N, 2x+y =41}. The range is of the relation R is

    2. A.

    {2n: n belongs to N, 1< n< 20}
    B.

    { (2n+2) : n belongs to N, 1< n <20}
    C.

    {(2n +1):n belongs to N , 1≤ n≤ 20}
    D.

    {(2n-1) : n belongs to N, 1≤ n≤ 20}

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  2.  If A = {1, 2, 5} and B = {3, 4, 5, 9}, then A ? B is equal to

    3. A.

    {1, 2, 5, 9}
    B.

    {1, 2, 3, 4, 5, 9}
    C.

    {1, 2, 3, 4, 9}
    D.

    none of these

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  3.  If n (A) = 115, n (B) = 326, n (A-B) = 47, then n (A U B) is equal to

    4. A.

    165
    B.

    370
    C.

    373
    D.

    422

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  4.  Solve f(x) = √9-x² the range is

    5. A.

    {x: 3≤ x ≤ 0}
    B.

    {x: 0≤ x ≤ 3}
    C.

    {x: 0< x < 3}
    D.

    {x: 3< x <0}

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  5.  The range of the function f(x) = │x – 1│ is

    6. A.

    R
    B.

    [0, ∞)
    C.

    (0, - ∞)
    D.

    (- ∞, 0)

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  6.  If f(x) = Log [(1 + x)/(1-x), then f (2x )/(1 + x²) is equal to

    7. A.

    {f(x)}²
    B.

    {f(x)}³
    C.

    2 f (x)
    D.

    3 f(x)

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  7.  The range of the function f(x) = x / │x│ is

    8. A.

    R - {0}
    B.

    {-1, 1}
    C.

    R – {-1, 1}
    D.

    None of these

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  8.  A set is known by its _______.

    9. A.

    Elements
    B.

    Members
    C.

    Letters
    D.

    Values

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  9.  Let f = {(x, x² /1+x² ): x € R } be a function from R into R . range of x is

    10. A.

    positive real numbers.
    B.

    negative real numbers
    C.

    non negative real numbers
    D.

    any positive real number x such that 0≤ x <1

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  10.  A set contains k elements. The power set of this set contains

    11. A.

    k elements
    B.

    2k elements
    C.

    k2 elements
    D.

    2k ? 2 elements

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