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Is x > y ? (1) ax > ay (2) a^2x > a^2y

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Manager
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Joined: 02 Sep 2008
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Kudos [?]: 105 [0], given: 1

Is x > y ? (1) ax > ay (2) a^2x > a^2y [#permalink]

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New post 31 Mar 2009, 21:33
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (00:13) correct 33% (00:00) wrong based on 11 sessions

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18. Is x > y ?

(1) ax > ay
(2)\(a^2x > a^2y\)

Kudos [?]: 105 [0], given: 1

Director
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Joined: 04 Jan 2008
Posts: 893

Kudos [?]: 766 [0], given: 17

Re: S7-DS [#permalink]

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New post 31 Mar 2009, 22:11
Its B

in this kind of Q, start with the easier condition
(2) says (a^2)(x-y)>0
=>(+ve)(x-y)>0

hence x-y=+ve
=>x>y--SUFF

(1) alone is NOT SUFF
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Kudos [?]: 766 [0], given: 17

Current Student
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Joined: 13 Jan 2009
Posts: 364

Kudos [?]: 144 [0], given: 1

Location: India
Re: S7-DS [#permalink]

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New post 02 Apr 2009, 15:55
Agree B. Same reasoning.

St 1 a could be positive or negative.

Kudos [?]: 144 [0], given: 1

SVP
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Joined: 28 Dec 2005
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Kudos [?]: 185 [0], given: 2

Re: S7-DS [#permalink]

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New post 02 Apr 2009, 17:35
B as well. From stat 1, you dont know sign of a, so you cant conclude if x>y. From stat 2, you have a^2, which is always positive, therefore, x must be greater than y

Kudos [?]: 185 [0], given: 2

Director
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Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: S7-DS [#permalink]

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New post 02 Apr 2009, 20:52
Agree with B.
1) we cant divide by a on both sides because we don't know the sign of a. ..insuff
2) a^2 is always positive, so we can divide both sides by a^2 without reversing the inequality...suff

Kudos [?]: 860 [0], given: 18

Manager
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Kudos [?]: 19 [0], given: 9

Re: S7-DS [#permalink]

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New post 07 Apr 2009, 05:08
E

if a=0, then (1) and (2) are insufficient

Kudos [?]: 19 [0], given: 9

Manager
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Re: S7-DS [#permalink]

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New post 07 Apr 2009, 10:19
Agree with B.
Same reasoning as the guys above with the same answer.

Kudos [?]: 13 [0], given: 0

Intern
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Re: S7-DS [#permalink]

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New post 15 Apr 2009, 23:19
Mikko wrote:
E

if a=0, then (1) and (2) are insufficient


it can't be e, then conditions 1 and 2 wouldn't be true. they are always true

Kudos [?]: 1 [0], given: 0

Manager
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Joined: 22 Feb 2009
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Kudos [?]: 149 [0], given: 10

Schools: Kellogg (R1 Dinged),Cornell (R2), Emory(Interview Scheduled), IESE (R1 Interviewed), ISB (Interviewed), LBS (R2), Vanderbilt (R3 Interviewed)
Re: S7-DS [#permalink]

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New post 17 Apr 2009, 10:30
Mikko wrote:
E

if a=0, then (1) and (2) are insufficient


a cannot be 0. B

B is the answer

Kudos [?]: 149 [0], given: 10

Re: S7-DS   [#permalink] 17 Apr 2009, 10:30
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