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# Is x < y?

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Manager
Joined: 23 Sep 2016
Posts: 102

Kudos [?]: 30 [0], given: 8

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10 Oct 2016, 13:24
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Difficulty:

45% (medium)

Question Stats:

63% (01:23) correct 38% (00:48) wrong based on 56 sessions

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Is x < y?

(1) xz < yz
(2) –3x > 6y
[Reveal] Spoiler: OA

Kudos [?]: 30 [0], given: 8

SVP
Joined: 05 Jul 2006
Posts: 1750

Kudos [?]: 432 [0], given: 49

Re: DS: Is x < y? [#permalink]

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10 Oct 2016, 13:37
SW4 wrote:
Is x < y?

(1) xz < yz
(2) –3x > 6y

FROM 1

zx-zy = Z(X-Y)<0....... INSUFF

FROM2

X+2y< 0 ........or X<-2Y ... INSUFF ( TRY PLUG IN NUMBERS)

Both together

add both inequalities from 1 and 2

(zx+x)+ (2y-zy) = x(z+1)+y (2-z)<0 .... no idea about relations or values of z ... insuff

I d say E

Kudos [?]: 432 [0], given: 49

Director
Joined: 05 Mar 2015
Posts: 964

Kudos [?]: 287 [0], given: 41

Re: Is x < y? [#permalink]

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10 Oct 2016, 19:45
SW4 wrote:
Is x < y?

(1) xz < yz
(2) –3x > 6y

1) z(x-y)<0

if z<0 then x-y>0----->x>y------>No
if z>0 then x-y<0------->x<y------->yes------>insuff....

2) -3x-6y>0
-3(x+2y)>0
x+2y<0
if x=0 y=-2 then y<x------>No
if x=-2,y=0 then y>x-------> yes----------> insuff..

Combining if x=0 , z=y=-2------->y<x----------->No.
But if x=-2,z=2,y=0---------then y>x-----------Yes..insuff..

Ans E

Kudos [?]: 287 [0], given: 41

Manager
Joined: 31 May 2015
Posts: 65

Kudos [?]: 32 [0], given: 113

Re: Is x < y? [#permalink]

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28 Sep 2017, 00:37
On (1) are we not permitted to do: xz < yz,, x < yz/z,, x < y
_________________

GMAT loosers are born not made !!!

Kudos [?]: 32 [0], given: 113

Re: Is x < y?   [#permalink] 28 Sep 2017, 00:37
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