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# If x and y are non-zero integers such that |x| > 10, what is the value

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Director
Joined: 18 Feb 2019
Posts: 582
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
If x and y are non-zero integers such that |x| > 10, what is the value  [#permalink]

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14 Apr 2019, 06:32
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Difficulty:

55% (hard)

Question Stats:

61% (02:08) correct 39% (02:00) wrong based on 38 sessions

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If x and y are non-zero integers such that |x| > 10, what is the value of x/y?

(1) |x|/2=8/|y|

(2) xy = 16
Manager
Joined: 21 Feb 2019
Posts: 125
Location: Italy
Re: If x and y are non-zero integers such that |x| > 10, what is the value  [#permalink]

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14 Apr 2019, 07:24
$$x < - 10 ∨ x > 10$$.

Statement 1: $$|x||y|= 16$$. Since $$|x|>10$$, it could be $$x = -16$$ or $$x = 16$$. We can't know precisely what it is based on the given information. Remember that $$y$$ is in modulus.

Statement 2: $$xy = 16$$. If $$x = 16$$, $$x = 1$$; otherwise, if $$x = -16$$, then $$x = -1$$. $$\frac{x}{y}$$ will remain the same, since $$\frac{+}{+}$$ or $$\frac{-}{-}$$ is positive in either case.

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Re: If x and y are non-zero integers such that |x| > 10, what is the value   [#permalink] 14 Apr 2019, 07:24
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