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# Is x < y? (I) 1/x < 1/y (2) x/y < 0

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Manager
Joined: 28 Mar 2009
Posts: 68
Is x < y? (I) 1/x < 1/y (2) x/y < 0  [#permalink]

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Updated on: 06 Jun 2009, 07:03
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Is x < y?

(I) 1/x < 1/y

(2) x/y < 0

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Originally posted by skim on 05 Jun 2009, 20:23.
Last edited by skim on 06 Jun 2009, 07:03, edited 1 time in total.
Director
Joined: 03 Jun 2009
Posts: 755
Location: New Delhi
WE 1: 5.5 yrs in IT

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06 Jun 2009, 01:26
I would have preferred 3 different threads for these 3 questions.

Anyway, picking the 1st one.

Is x<y ?
(I) 1/x < 1/y Insufficient
• when both x and y are +ve
1/x < 1/y => y < x
• when both x and y are -ve
1/x < 1/y => y < x
• when x is -ve and y is +ve
1/x < 1/y => y > x
• when x is +ve and y is -ve
Scenario not possible

(2) x/y < 0 Insufficient
Implies, both x and y have different signs
still we cannot conclude if x<y or y<x

(3) Together Sufficient
From 2nd we know both x and y have different signs, and
from 1st we know, if both have different signs, then x -ve and y +ve is only possible
=> x<y

btw, whats the OA
_________________
Manager
Joined: 28 Mar 2009
Posts: 68

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06 Jun 2009, 07:02
bigoyal wrote:
I would have preferred 3 different threads for these 3 questions. - [Noted]

Anyway, picking the 1st one.

Is x<y ?
(I) 1/x < 1/y Insufficient
• when both x and y are +ve
1/x < 1/y => y < x
• when both x and y are -ve
1/x < 1/y => y < x
• when x is -ve and y is +ve
1/x < 1/y => y > x
• when x is +ve and y is -ve
Scenario not possible

(2) x/y < 0 Insufficient
Implies, both x and y have different signs
still we cannot conclude if x<y or y<x

(3) Together Sufficient
From 2nd we know both x and y have different signs, and
from 1st we know, if both have different signs, then x -ve and y +ve is only possible
=> x<y

btw, whats the OA

OA is
Manager
Joined: 11 Aug 2008
Posts: 132

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08 Jun 2009, 23:03
1) 1/x-1/y (y-x)/xy {y>x and xy0} insuf
2) x/y {x>0 and y0} insuf
Both, we can ans YES
Hence C

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Inequalities DS &nbs [#permalink] 08 Jun 2009, 23:03
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