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Re: If x and y are positive integers and x^4 + y^4 < 10,000, then the grea [#permalink]

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24 May 2011, 08:13

dreambeliever wrote:

If x and y are positive integers and x^4 + y^4< 10,000, then the greatest possible value of x is between (A) 0 and 3 (B) 3 and 6 (C) 6 and 9 (D) 9 and 12 (E) 12 and 15

TO make X as big as possible, y^4 must be small. So if y = 1 then the equation is

Re: If x and y are positive integers and x^4 + y^4 < 10,000, then the grea [#permalink]

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25 May 2011, 07:08

1

This post received KUDOS

to the two people who picked D is the answer. We both did the work the same way. We agree x < 10.

So why D?

D claims that x can be 9,10,11,12. Which it can't be. So unless I am misunderstanding something, I will stick with my answer of C which says x must be less than 10

Re: If x and y are positive integers and x^4 + y^4 < 10,000, then the grea [#permalink]

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25 May 2011, 07:51

Seems some problem with the question especially RHS.

x and y being positive integers y #0 and other values of x do not give an integer y value other than x=0. Hence the question needs to be checked.
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Re: If x and y are positive integers and x^4 + y^4 < 10,000, then the grea [#permalink]

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25 May 2011, 20:17

dreambeliever wrote:

If x and y are positive integers and x^4 + y^4< 10,000, then the greatest possible value of x is between (A) 0 and 3 (B) 3 and 6 (C) 6 and 9 (D) 9 and 12 (E) 12 and 15

If it is "inclusive": C and D both are the answers. If it is "exclusive": None of the above.
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Re: If x and y are positive integers and x^4 + y^4 < 10,000, then the grea [#permalink]

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26 Sep 2017, 04:40

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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