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

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New post 14 Apr 2019, 06:32
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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
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Joined: 21 Feb 2019
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Re: If x and y are non-zero integers such that |x| > 10, what is the value  [#permalink]

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New post 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.

Answer: B.
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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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