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Can someone please give me the reasoning to this DS problem?

This topic has 3 member replies
daygoballa Junior | Next Rank: 30 Posts Default Avatar
Joined
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Posted:
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Test Date:
June 2009
Target GMAT Score:
730

Can someone please give me the reasoning to this DS problem?

Post Thu Mar 05, 2009 2:42 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Here's the problem:

    - Of the 66 people in a certain auditorium, at most 6 people have birthdays in any one given month. Does at least one person in the auditorium have a birthday in January?

    (1) More of the people in the auditorium have birthdays in February than in March.

    (2) five of the people in the auditorium have birthdays in March.



    The answer is (D)

    Thank you for you help!

    Henry

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    cramya Legendary Member Default Avatar
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    Post Thu Mar 05, 2009 2:54 pm
    Take the easier of the 2 statements

    Stmt II

    5 bday in March

    Remaining 61
    and 11 months includinbg Jan left

    Atmost 6 can have a bday in any given month so there must be atleast 1 if not more having bday in Mar

    SUFF

    Stmt II

    More of the people in the auditorium have birthdays in February than in March


    Again to prove no one has a bday in jan try to maximize the 10 months which is 60 excluding March and Jan.

    Since March cant have 6 as it should be less than Feb at the max March can be 5.

    Still jan we have 1 bday.

    SUFF

    Choose D

    Thanked by: daygoballa
    ranpman Newbie | Next Rank: 10 Posts Default Avatar
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    1 messages
    Post Mon Mar 23, 2009 5:58 pm
    cramya wrote:
    Take the easier of the 2 statements

    Stmt II

    5 bday in March

    Remaining 61
    and 11 months includinbg Jan left

    Atmost 6 can have a bday in any given month so there must be atleast 1 if not more having bday in Mar

    SUFF

    Stmt II

    More of the people in the auditorium have birthdays in February than in March


    Again to prove no one has a bday in jan try to maximize the 10 months which is 60 excluding March and Jan.

    Since March cant have 6 as it should be less than Feb at the max March can be 5.

    Still jan we have 1 bday.

    SUFF

    Choose D
    I agree that (1) is SUFFICIENT.

    However (2) states that "Five of the people in the auditorium have birthdays in March". (2) does not hay "ONLY five of the people in the auditorium have...".

    In that case, isn't it possible that March could have 6 birthdays? In which case, (2) is INSUFFICIENT. What am I missing?

    TedCornell Master | Next Rank: 500 Posts Default Avatar
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    Post Wed Mar 25, 2009 12:26 am
    On the GMAT, when you're told that 5 of the ppl have birth day in march that means exactly 5 of those people. There could be others with march birthdays, but those others cannot be among the people in the auditorium.

    Similarly, if you're told "John has $10" it means he has exactly $10; he cannot have $11 or $12.

    To make 6 march birthdays a possibility, the statement might've said "At least 5 of the pple have birthday in march" or "no fewer than 5 of the ppl"

    Thanked by: ranpman

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