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Thread: Error in Kaplan CAT 1 DS?

  1. #1
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    Error in Kaplan CAT 1 DS?

    If x^2 + 5y = 49, is y an integer?
    (1) 1 < x < 4
    (2) x^2 is an integer

    Answer: E

    It's C because if you have both 1 & 2, you get 1 < x < 4 where x is an integer, so x must either be 2 or 3, and so y is an integer. However, the Kaplan explanation says if we choose C, then x can be either 2 or 3 OR 1. Wouldn't x only be 1 if we have 1 <= x <= 4, instead of 1 < x < 4 ??

    Is this an error on Kaplan's part?
    Thanks

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    An Urch Guru Pundit Swami Sage scoot's Avatar
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    Re: Error in Kaplan CAT 1 DS?

    I agree. The ans ahould be C.

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    Re: Error in Kaplan CAT 1 DS?

    Actually Kaplan is right because from 1) you get that y=(49-x^2)/5 which may or may not be an integer
    well, 2 says that x^2 is an integer, but what if x^2 = 3, when x = sqrt(3), 1< sqrt(3) < 4 which also satisfies 1) hence E
    Even a stopped clock is right twice a day.

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    Re: Error in Kaplan CAT 1 DS?

    I missed this. Agreed with metodiev.

  5. #5
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    Re: Error in Kaplan CAT 1 DS?

    ah ok i missed that too. So the Kaplan explanation is wrong ?

  6. #6
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    Re: Error in Kaplan CAT 1 DS?

    I agree with metodiev as well . Ans should be E

    though you can find similar questions in this forum

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