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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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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, 11:22
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Question Stats:

70% (01:38) correct 30% (01:04) wrong based on 32 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 = \(\frac{1}{z}\)

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