Subject

    Quantitative Aptitude

    Topic

    Probability

    The probability that a number selected at random from the set of numbers {1, 2, 3, 4, ……, 100} is a cube or a square is :

    ক)
    1/25
    খ)
    2/25
    গ)
    3/25
    ঘ)
    7/50
    ঙ)
    None of these

    Explanation

    Total count of numbers, n(s) = 100 Numbers that are cubes = {1, 8, 27, 64} Numbers that are squares = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100} Numbers that are either suares or cubes or both = {1, 4, 8, 9, 16, 25, 27, 36, 49, 64, 81, 100} Total count of such numbers, n(E) = 12 Required probablity =  P(E)=n(E)n(S)=12100=325= \;P\left( E \right) = \frac{{n\left( E \right)}}{{n\left( S \right)}} = \frac{{12}}{{100}} = \frac{3}{{25}}

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