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functions g(g(g(g(g(x))))) = 19

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pappueshwar Really wants to Beat The GMAT! Default Avatar
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functions g(g(g(g(g(x))))) = 19 Post Sun Feb 05, 2012 1:00 am
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    hi all,
    request if any one can give an easier solution to understand the below probelm

    The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5. Given that g(g(g(g(g(x))))) = 19, how many possible values for x would satisfy this equation?

    choices:
    A) 1
    B) 5
    C) 7
    D) 8
    E) 11

    [Moderator Edit: Moving the post to GMAT Math -> Problem Solving]

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    Mike@Magoosh GMAT Instructor
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    Post Sun Feb 05, 2012 11:51 am
    Hi, there. Smile

    You can see my full solution to this question at

    http://www.beatthegmat.com/function-problem-t102358.html

    Please let me know if you have any questions.

    Mike Smile

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    Post Mon Feb 06, 2012 5:45 am
    Hey Eshwar,

    You can see my solution here -> http://www.beatthegmat.com/functions-t102958.html.

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    Anurag@Gurome GMAT Instructor
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    Post Mon Feb 06, 2012 7:31 am
    pappueshwar wrote:
    hi all,
    request if any one can give an easier solution to understand the below probelm

    The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5. Given that g(g(g(g(g(x))))) = 19, how many possible values for x would satisfy this equation?

    choices:
    A) 1
    B) 5
    C) 7
    D) 8
    E) 11

    [Moderator Edit: Moving the post to GMAT Math -> Problem Solving]


    The correct answer is D.

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