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is X odd if X^3 is odd??

This topic has 7 member replies
zealzoom Junior | Next Rank: 30 Posts Default Avatar
Joined
28 Jul 2006
Posted:
19 messages

is X odd if X^3 is odd??

Post Fri Nov 10, 2006 10:29 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Hi ,

    Do let me know if this is sufficient to answer the question,,,

    Is X odd ??

    X^3 is Odd,,,,

    Cheers
    zeal

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    zipper123 Newbie | Next Rank: 10 Posts Default Avatar
    Joined
    10 Oct 2006
    Posted:
    8 messages
    Post Fri Nov 10, 2006 12:24 pm
    zealzoom wrote:
    Hi ,

    Do let me know if this is sufficient to answer the question,,,

    Is X odd ??

    X^3 is Odd,,,,

    Cheers
    zeal
    Yes it is sufficient.

    Assuming X is an integer (positive or negative)

    X^3 can only be odd if X itself is odd

    because Odd times Odd is Odd

    Even times Anything is Even.

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    zealzoom Junior | Next Rank: 30 Posts Default Avatar
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    Posted:
    19 messages
    Post Fri Nov 10, 2006 12:38 pm
    naah thats the catch here!!!

    I also think in the same way and this question seems very easy to me..

    Here is the situation..

    What if X = cube root 7 or cube root 3 ?? then X^3 will be odd but X itself is not an integer rather, it is an irrational number so no chance we cam certainly say that X is ODD,,,

    Oh boy !! this line of reasoning really freaked me out.. let me know how do you feel ??

    Sad

    aim-wsc Legendary Member
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    Post Fri Nov 10, 2006 2:28 pm
    theses nothing wrong in zipper s reply.

    he's right. because he assumed that X is an integer.
    so technically given condition is not sufficient. we need to know whether X is am integer or not.

    pls present the full problem. Smile

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    zealzoom Junior | Next Rank: 30 Posts Default Avatar
    Joined
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    Posted:
    19 messages
    Post Fri Nov 10, 2006 9:33 pm
    that was the problem

    is X odd

    a) 2x-1 is odd

    b) X^3 is odd ..

    My answer was B and i was pretty sure about that, but correct answer was E and reason I have already given.

    DS,, its real tough to get into it ,,, Sad

    Any help??

    Zeal

    800guy Master | Next Rank: 500 Posts Default Avatar
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    Post Fri Nov 10, 2006 9:38 pm
    where did this question come from?

    kulksnikhil Senior | Next Rank: 100 Posts Default Avatar
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    Post Sat Nov 11, 2006 2:37 am
    zealzoom wrote:
    that was the problem

    is X odd

    a) 2x-1 is odd

    b) X^3 is odd ..

    My answer was B and i was pretty sure about that, but correct answer was E and reason I have already given.

    DS,, its real tough to get into it ,,, Sad

    Any help??

    Zeal
    Even I feel B is right answer... for a product to be even, atleast one of the integers must be even. So if both integers are odd then the product remains odd. For x^3 to be odd, all 3 should be odd... so x has to be odd.

    zealzoom Junior | Next Rank: 30 Posts Default Avatar
    Joined
    28 Jul 2006
    Posted:
    19 messages
    Post Sat Nov 11, 2006 8:09 am
    800guy wrote:
    where did this question come from?
    this was question in Kaplan GMAT test ....

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