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DS_Quest

This topic has 2 expert replies and 0 member replies
paresh_patil Senior | Next Rank: 100 Posts Default Avatar
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DS_Quest

Post Tue Feb 26, 2013 6:07 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    How many of 42 people in a group are employed students?

    1) 29 out of 42 are employed.

    2) 24 out of 42 are student.

    (Source: GMATPrep)

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    Post Tue Feb 26, 2013 7:03 am
    paresh_patil wrote:
    How many of 42 people in a group are employed students?

    1) 29 out of 42 are employed.

    2) 24 out of 42 are student.

    (Source: GMATPrep)
    This is a great candidate for a technique called the Double Matrix Method. It can be used for most questions featuring a population in which each member has two criteria associated with it.
    Here, the criteria are:
    - employment status (employed or unemployed)
    - schooling (student or non-student)

    There are 42 people altogether, so our first diagram looks like this:


    Notice that I placed a star in the top-left box. The target question asks us to determine the number of people in this box.

    Statement 1: 29 out of 42 are employed.
    We get:

    Since we cannot find the number of people in the top-left box, statement 1 is NOT SUFFICIENT

    Statement : 24 out of 42 are students.
    We get:

    Since we cannot find the number of people in the top-left box, statement 2 is NOT SUFFICIENT

    Statements 1 and 2 combined:
    We get:

    Since we still cannot find the number of people in the top-left box, the combined statements are NOT SUFFICIENT

    Answer: E

    For more information about the Double Matrix Method and some additional practice questions, check out these 3 BTG video articles:

    - http://www.beatthegmat.com/mba/2011/05/05/random-double-matrix-question-1
    - http://www.beatthegmat.com/mba/2011/05/09/random-double-matrix-question-2
    - http://www.beatthegmat.com/mba/2011/05/16/random-double-matrix-question-3

    Cheers,
    Brent

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    Anurag@Gurome GMAT Instructor
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    Post Tue Feb 26, 2013 7:21 am
    Whenever problems with two sets (Say A and B) are involved always remember there are four scenarios - only A, only B, both and none.

    Now,
      A = only A + both
      B = only B + both

    Hence,
      Either A or B = A + B - both
      Total = Either A or B + None = A + B - Both + None


    For example, int his case a person in that group can be any one of the following...
      Student but unemployed
      Employee but not student
      Employed student
      Neither student nor employed

    Now, if we look at the statements we can see none of them are talking about the none scenario which is a possible case here.

    Hence, taking both statements together,
    43 = Employed + Students - Employed Students - Neither students nor employed

    Hence, employed students = 43 - (29 + 24 + Neither students nor employed)

    As we don't know the number of persons who are neither students nor employed, we cannot determine the number of employed students in the group.

    The correct answer is E.

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