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Quantitative Aptitude: Practice questions on Functions

Oct 20, 2015 17:54 IST

    Quantitative Aptitude Practice questions on Functions: This practice set has 8 questions with their answers & Explanatory answer covering topics from the areas of Quantitative Aptitude.

    1. How many onto functions can be defined from the set A = {1, 2, 3, 4} to {a, b, c}?

    A. 81

    B. 79

    C. 36

    D. 45

    2. f(x + y) = f(x)f(y) for all x, y, f(4) = +3 what is f(-8)?

    A. 1/3

    B. 1/9

    C. 9

    D. 6

    3. Find the maximum value of f(x); if f(x) is defined as the Min {-(x – 1)2 + 2, (x – 2)2 + 1}

    A. 1

    B. 2

    C. 0

    D. 3

    4. Consider functions f(x) = x2 + 2x, g(x) = and h(x) = g(f(x)). What are the domain and range of h(x)?

    A. 1

    B. 2

    C. 0

    D. 3

    5. [x] = greatest integer less than or equal to x. If x lies between 3 and 5, what is the probability that [x2] = [x]2?

    A. Roughly 0.64

    B. Roughly 0.5

    C. Roughly 0.14

    D. Roughly 0.36

    6. Give the domain and range of the following functions:

    A. f(x) = x2 + 1

    B. g(x) = log(x + 1)

    C. h(x) = 2x

    D. f(x) = 1/(x+1)

    E. p(x) = |x + 1|

    F. q(x) = [2x], where [x] gives the greatest integer less than or equal to x

    7. How many elements are present in the domain of 9–xCx+1?

    A. 5

    B. 6

    C. 4

    D. 7

    8. f(x + y) = f(x)f(y) for all x, y, f(4) = + 3 what is f(–8)?

    A. 1/3

    B. 1/9

    C. 9

    D. 6

    Answer Key –

    1. C

    2. B

    3. B

    4. Domain: ( -∞, +∞), Range -[0, ∞]

    5. C

    6. ----

    7. B

    8. B

     

    Solutions Link – http://iim-cat-questions-answers.2iim.com/quant/algebra/functions/

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