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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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VP
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1278

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

Location: Pakistan
GPA: 3.4
For integers w, x, y, and z, is wxyz = -1? (1) wx / yz = -1 (2) w = -1 [#permalink]

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22 Sep 2017, 11:22
00:00

Difficulty:

55% (hard)

Question Stats:

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

Director
Joined: 25 Feb 2013
Posts: 542

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

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
Re: For integers w, x, y, and z, is wxyz = -1? (1) wx / yz = -1 (2) w = -1 [#permalink]

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22 Sep 2017, 11:29
1
KUDOS
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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