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Is xy + z = z

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Source: — Data Sufficiency |
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by ajith » Fri Feb 19, 2010 8:50 pm
gmatnmein2010 wrote:Is xy + z = z, is |x-y| > 0 ?

(1) x ≠ 0
(2) y = 0
|x-y| is greater than zero when x is not equal to y

xy + z = z => xy =0

either x=0; or y =0; or both are zero

1) x is not zero , sufficient to conclude that |x-y| >0
2) y=0 not sufficient; x can also be zero in which case |x-y| =0

A
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by thephoenix » Fri Feb 19, 2010 10:29 pm
gmatnmein2010 wrote:Is xy + z = z, is |x-y| > 0 ?

(1) x ≠ 0
(2) y = 0
from eq xy+z=z , we know xy is 0...
for lx-yl>0 x-y ≠ 0...
si) x ≠ 0 so y=0 and x-y will be a -ive or +ive no... suff
sii) y=0... x can be 0 or any other no ...not suff

imo A
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by outreach » Fri Feb 19, 2010 10:36 pm
xy+z=z
=> xy=0 -(1)

1. now stmt one says x not equal to zero.to satisfy Eq 1 y should be 0..
x=-1,1 in all cases |x-y| > 0

2. y=0 is given
x=0,1,-1 etc satisfy Eq 1. hence not suff


A
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by bhumika.k.shah » Sat Feb 20, 2010 12:47 am
wy = 0
hence all we require to know is whether x=o or y=o since either of the values will give us xy=0
Statement A clearly says x is not equal to zero.
hence y is

Statement 1 is sufficient

IMO A
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by shashank.ism » Sat Feb 20, 2010 1:46 pm
gmatnmein2010 wrote:Is xy + z = z, is |x-y| > 0 ?

(1) x ≠ 0
(2) y = 0
xy + z = z --> xy = 0
St.1: x ≠ 0 --> y =0 so |x-y| =|x| (as y=0) and |x|>0 since x ≠ 0 ==========sufficient.
St.2: y = 0 --> x ≠ 0 or x=0 it is not clear if x ≠ 0 above thing exist
if x=0 then |x-y| = 0 ============insufficient
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