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# If x and y are positive integers, is 5x(1/4)y < 1 ? (1) y

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Intern
Joined: 19 Jul 2008
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If x and y are positive integers, is 5x(1/4)y < 1 ? (1) y  [#permalink]

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25 Aug 2008, 08:17
If x and y are positive integers, is 5x(1/4)y < 1 ?
(1) y = 3x.
(2) x = 2.

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25 Aug 2008, 09:50
D
gmatcraze wrote:
If x and y are positive integers, is 5x(1/4)y < 1 ?
(1) y = 3x.
(2) x = 2.

(1)
(5x)1/4(3x) < 1
(5x)(3/4x) < 1
15/4x < 1

We are told in the stem that x and y are positive integers, meaning >= 1. If x must be at least 1, then 15/4 * 1 = 3.75 and that's greater than 1. The answer to the stem question is "No." but this statment is sufficient to give us an answer to the stem.

(2) 5(2)(1/4)y < 1
10(1/4)y < 1
2.5y < 1
Again, if y must be a positive integer, then the lowest value possible is 2.5 < 1, so the answer is "No." and this is sufficient information.
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25 Aug 2008, 10:04
gmatcraze wrote:
If x and y are positive integers, is 5x(1/4)y < 1 ?
(1) y = 3x.
(2) x = 2.

5xy/4 < 1

Statement 1) y=3x

15x^2/4 < 1 , this is false for all integer values of x so statement 1) is suff.

Statement 2) x=2

10y/4 < 1 , this is false for +ve integer values of y so statement 2) is suff.

IMO D)

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Re: inequality &nbs [#permalink] 25 Aug 2008, 10:04
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