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For integers w, x, y, and z, is wxyz = -1? (1) wx / yz = -1 (2) w = -1

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Status: Preparing for the GMAT
Joined: 02 Nov 2016
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Kudos [?]: 1092 [0], given: 543

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For integers w, x, y, and z, is wxyz = -1? (1) wx / yz = -1 (2) w = -1 [#permalink]

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67% (01:14) correct 33% (00:53) wrong based on 24 sessions

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For integers w, x, y, and z, is wxyz = -1?

(1) \(\frac{wx}{yz}\) = -1
(2) w =\(\frac{-1}{x}\) and y = \(\frac{1}{z}\)
[Reveal] Spoiler: OA

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Kudos [?]: 1092 [0], given: 543

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Kudos [?]: 246 [1], given: 33

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Re: For integers w, x, y, and z, is wxyz = -1? (1) wx / yz = -1 (2) w = -1 [#permalink]

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New post 22 Sep 2017, 11:29
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SajjadAhmad wrote:
For integers w, x, y, and z, is wxyz = -1?

(1) \(\frac{wx}{yz}\) = -1
(2) w =\(\frac{-1}{x}\) and y = \(\frac{1}{z}\)


Statement 1: implies that \(wx = -1*yz\), but nothing is known about any variable. Hence insufficient

Statement 2: gives \(w*x = -1\) and \(y*z =1\), now multiply \(wx\) & \(yz\) to get
\(wx*yz = -1*1 = -1\). Hence sufficient

Option B

Kudos [?]: 246 [1], given: 33

Re: For integers w, x, y, and z, is wxyz = -1? (1) wx / yz = -1 (2) w = -1   [#permalink] 22 Sep 2017, 11:29
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For integers w, x, y, and z, is wxyz = -1? (1) wx / yz = -1 (2) w = -1

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