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Set theory problem.

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Vookeh dyzynah Just gettin' started! Default Avatar
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Set theory problem. Post Wed Apr 25, 2012 5:49 am
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  • Lap #[LAPCOUNT] ([LAPTIME])
    In a survey of 100 families the no. that read recent issues of a certain monthly magazine were found to be;
    September only 18
    September but not August 23
    September & July 8
    september 26
    July 48
    July & August 8
    None of the 3 months 24.
    With the help of the set theory find;
    (a)How many read the August issue?
    (b)How many read 2 consecutive issues?
    (c)How many read the July issue if and only if they did not read the August issue?
    (d)How many read September & August issues but did not read the July issue?

    please atach sum explanation to your working thank you.

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    Birottam Dutta GMAT Destroyer!
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    Post Wed Apr 25, 2012 8:55 am
    According to the question,

    a= 18 (September only 18 )-----(1)
    a+b+d+f = 26 (september 26 )-----(2)
    g+f+d+e = 48 (July 48 )-----(3)
    d+e= 8 (July & August 8)-----(4)
    d+f = 8 (September & July 8)-----(5)
    a+f = 23 (September but not August 23)-----(6)
    a+b+c+d+e+f+g = 76 (None of the 3 months 24)-----(7)
    From (1) and (6), f=5---- (8)
    From (8) and (5), d=3 --- (9)
    From (9) and (4), e=5---- (10)
    From (3), (8), (9) and (10), g= 35 --- (11)
    From (2), (8), (9) and (1), b = 0
    As only c is missing, putting values of all other unknowns in (7), we get c= 10.

    Now let us answer the questions:

    (a) August = b+c+d+e = 18
    (b) Two consecutive issues will be either July August or August September = e + b = 5+ 0 = 5
    (c) July minus August = g + f = 35 + 5 = 40
    (d) Sept + Aug - July = b = 0.

    Hope these are correct!
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    Stuart Kovinsky GMAT Instructor
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    Post Wed Apr 25, 2012 9:23 am
    Hi,

    I'm a bit confused about what this has to do with:

    1) data sufficiency; and
    2) the GMAT!

    Thanks,

    Stuart

    Vookeh dyzynah wrote:
    In a survey of 100 families the no. that read recent issues of a certain monthly magazine were found to be;
    September only 18
    September but not August 23
    September & July 8
    september 26
    July 48
    July & August 8
    None of the 3 months 24.
    With the help of the set theory find;
    (a)How many read the August issue?
    (b)How many read 2 consecutive issues?
    (c)How many read the July issue if and only if they did not read the August issue?
    (d)How many read September & August issues but did not read the July issue?

    please atach sum explanation to your working thank you.

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    ronnie1985 GMAT Destroyer!
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    Post Fri Apr 27, 2012 11:29 am
    (a) 18

    (b) 5

    (c)40

    (d) 0

    See the attachment for explanation
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