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# If z is negative, is y greater than zero? (1) y z = 4 (2) yz = 12

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Math Expert
Joined: 02 Sep 2009
Posts: 55681
If z is negative, is y greater than zero? (1) y z = 4 (2) yz = 12  [#permalink]

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17 Dec 2017, 23:52
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6% (00:22) correct 94% (00:21) wrong based on 34 sessions

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If z is negative, is y greater than zero?

(1) yz = 4
(2) yz = 12

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1437
Location: India
Re: If z is negative, is y greater than zero? (1) y z = 4 (2) yz = 12  [#permalink]

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18 Dec 2017, 00:03
Bunuel wrote:
If z is negative, is y greater than zero?

(1) yz = 4
(2) yz = 12

Product of a negative number with another number can be positive ONLY if the other number is also negative. (because if other number is 0, product will be 0 and if other number is positive, product will be negative)

(1) since product of y and z is positive and z is negative, y also must be negative. So y cannot be greater than 0. We get NO as our answer. Sufficient.

(2) here also product of y and z is positive, so y cannot be greater than 0. NO as our answer. Sufficient.

Intern
Joined: 09 Aug 2017
Posts: 23
Re: If z is negative, is y greater than zero? (1) y z = 4 (2) yz = 12  [#permalink]

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18 Dec 2017, 00:05
D ?
Statement 1 : if z is negative then y has to be negative . Answer No. Sufficient

Same with statement two.
M I correct ? @bunuel

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Senior Manager
Joined: 13 Feb 2018
Posts: 329
GMAT 1: 640 Q48 V28
Re: If z is negative, is y greater than zero? (1) y z = 4 (2) yz = 12  [#permalink]

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27 Mar 2018, 02:04
Seems like there is a typo error.
Re: If z is negative, is y greater than zero? (1) y z = 4 (2) yz = 12   [#permalink] 27 Mar 2018, 02:04
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