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# Is |xy| = 12? (1) (y + 4)(x - 3) = 0 (2) y = 4

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Math Expert
Joined: 02 Sep 2009
Posts: 51072
Is |xy| = 12? (1) (y + 4)(x - 3) = 0 (2) y = 4  [#permalink]

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03 Jul 2018, 09:46
00:00

Difficulty:

55% (hard)

Question Stats:

59% (01:19) correct 41% (00:52) wrong based on 64 sessions

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Is |xy| = 12?

(1) (y + 4)(x - 3) = 0

(2) y = 4

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7100
Re: Is |xy| = 12? (1) (y + 4)(x - 3) = 0 (2) y = 4  [#permalink]

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03 Jul 2018, 10:30
Is |xy| = 12?

(1) (y + 4)(x - 3) = 0
possiblities..
y = -4 and x anything...$$|xy|\neq{12}$$
y = anything and x =3...$$|xy|\neq{12}$$
y = -4 and x =3...$$|xy|=12$$
insuff

(2) y = 4
insuff

combined
from 1) we know either x = 3 or y = -4 or both
But y=4, so x has to be 3
xy=4*3=12
suff

C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: Is |xy| = 12? (1) (y + 4)(x - 3) = 0 (2) y = 4 &nbs [#permalink] 03 Jul 2018, 10:30
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