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Median Coffee blend

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kulksnikhil Senior | Next Rank: 100 Posts Default Avatar
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Median Coffee blend

Post Fri Dec 01, 2006 2:50 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    #1 What is the median number of employees assigned per project for the projects at Company Z?

    1) 25% of the projects at Company Z have 4 or more employees assigned tto each project
    2) 35% of the projects at Company Z have 2 or fewer employees assigned to each project


    #2 One Kilogram of a certain coffee blend consists of X kilogram of Type I coffee and y kilogram of Type II coffee. The cost of the blend is C dollars per kilogram, where C=6.5x + 8.5y. Is x<0.8
    1) y>0.15
    2) C>= 7.3

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    aim-wsc Legendary Member
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    Post Fri Dec 01, 2006 4:53 am
    kulksnikhil wrote:
    #1 What is the median number of employees assigned per project for the projects at Company Z?

    1) 25% of the projects at Company Z have 4 or more employees assigned tto each project
    2) 35% of the projects at Company Z have 2 or fewer employees assigned to each project
    interesting problem.

    higher end has 25%
    and lower end has 35% of average number of employees.
    so there still will be 40% (which comes in the middle of two extremes) of projects which have exact threee employees assigned.

    therefore median has to be 3 fit in 35% to 75% of ^ave.-persons-per-project^
    ANSWER: both alone are not sufficient but together sufficient.

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    aim-wsc Legendary Member
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    Post Fri Dec 01, 2006 5:37 am
    kulksnikhil wrote:
    #2 One Kilogram of a certain coffee blend consists of X kilogram of Type I coffee and y kilogram of Type II coffee. The cost of the blend is C dollars per kilogram, where C=6.5x + 8.5y. Is x<0.8
    1) y>0.15
    2) C>= 7.3
    EDIT: WRONG INADEQUATE/ WRONG EXPLANATION AHEAD
    2#
    AGAIN interesting problem.
    check ( cautious) while dealing with ^IS^ & yes or no type of problems: they are notorious. Smile

    clearly single inequalities are not sufficient to have a solution.

    so if we take both of given conditions simultaneously::::

    we can check the formula by putting extreme values.
    note that the given data has y is greater than 0.15 while
    required problem asks us to check whether x is less than 0.8

    (....that clearly tells us the answer as E)

    still we should substitute some random value to x and y.
    note that x+y=1 kg.

    AND therefore refer to the following post.
    thankyou.

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    Last edited by aim-wsc on Tue Dec 05, 2006 8:19 pm; edited 1 time in total

    projase Junior | Next Rank: 30 Posts Default Avatar
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    Post Tue Dec 05, 2006 3:31 pm
    I am not sure about your answer...

    Consider that C=6.5X+8.5Y>=7.3 and X+Y=1

    Then 6.5X+(1-X)8.5>=7.3
    1.2>=2X
    0.6>=X, meaning that "B" is correct...

    Please comment.



    aim-wsc wrote:
    kulksnikhil wrote:
    #2 One Kilogram of a certain coffee blend consists of X kilogram of Type I coffee and y kilogram of Type II coffee. The cost of the blend is C dollars per kilogram, where C=6.5x + 8.5y. Is x<0.8
    1) y>0.15
    2) C>= 7.3
    2#
    AGAIN interesting problem.
    check ( cautious) while dealing with ^IS^ & yes or no type of problems: they are notorious. Smile

    clearly single inequalities are not sufficient to have a solution.

    so if we take both of given conditions simultaneously::::

    we can check the formula by putting extreme values.
    note that the given data has y is greater than 0.15 while
    required problem asks us to check whether x is less than 0.8

    (....that clearly tells us the answer as E)

    still we should substitute some random value to x and y.
    note that x+y=1 kg.

    answer : together both taken insufficient.

    aim-wsc Legendary Member
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    Post Tue Dec 05, 2006 8:13 pm
    thanks for pointing out that buddy. Smile

    i missed that point. Shocked

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