Find all School-related info fast with the new School-Specific MBA Forum

It is currently 21 Aug 2014, 18:24

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Is xy < 6 ? a.x < 3 and y < 2. b.1/2 < x <

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 03 Feb 2010
Posts: 68
Followers: 1

Kudos [?]: 13 [0], given: 4

GMAT Tests User
Is xy < 6 ? a.x < 3 and y < 2. b.1/2 < x < [#permalink] New post 26 Mar 2010, 11:02
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

75% (01:47) correct 25% (01:26) wrong based on 3 sessions
Is xy < 6 ?
a.x < 3 and y < 2.
b.1/2 < x < 2/3 and y^2 < 64.

source : OG10.
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesGMAT Pill GMAT Discount Codes
1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 19 Nov 2009
Posts: 329
Followers: 4

Kudos [?]: 58 [1] , given: 44

GMAT Tests User
Re: DS : Inequality . [#permalink] New post 26 Mar 2010, 11:22
1
This post received
KUDOS
B.

St. 1 : X < 3, y < 2

If x = 2, y=1 --> xy = 2 --> xy < 6 - Yes

If x= -2, y= -4 , xy = 8 --> xy > 6 - No

Hence, insufficient.

St.2 : 0.5 < x < 0.67 , y^2 < 64 -> -8 < y < 8

If y < 0, xy < 0, hence, xy < 6
If y > 0, x = 0.55, y = 7 --> xy= 3.85 --> xy < 6

For any value of x & y we get xy < 6. Hence, sufficient.
Intern
Intern
avatar
Joined: 21 Mar 2010
Posts: 22
Followers: 0

Kudos [?]: 3 [0], given: 2

Re: DS : Inequality . [#permalink] New post 26 Mar 2010, 11:24
sushma0805 wrote:
Is xy < 6 ?
a.x < 3 and y < 2.
b.1/2 < x < 2/3 and y^2 < 64.

source : OG10.


I think the answer is B "Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked".

Option 1:
From this statement, X & Y can be -ve or +ve.
X=2, Y=1; XY=2 < 6
X=-2, Y=-5; XY=10 > 6
so, Not Sufficient

Option 2:
Here we know that X is +ve, but Y still can be -ve or +ve

when Y is -ve; XY is always -ve & < 6

when Y is +ve;
lets consider X=\frac{2}{3}, Y=8, XY=\frac{16}{3} = 5.333
so the maximum value of XY is < 5.333 <6
So, Sufficient

let me know if you need any more explanation or if you feel any thing is wrong

-Ravi
Senior Manager
Senior Manager
User avatar
Joined: 19 Nov 2009
Posts: 329
Followers: 4

Kudos [?]: 58 [0], given: 44

GMAT Tests User
Re: DS : Inequality . [#permalink] New post 26 Mar 2010, 12:54
my pleasure :)
1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 01 Feb 2010
Posts: 268
Followers: 1

Kudos [?]: 35 [1] , given: 2

GMAT Tests User
Re: DS : Inequality . [#permalink] New post 27 Mar 2010, 08:35
1
This post received
KUDOS
sushma0805 wrote:
Is xy < 6 ?
a.x < 3 and y < 2.
b.1/2 < x < 2/3 and y^2 < 64.

source : OG10.

a: insufficient as x = -4 and y = -3 xy = 12 > 6
also x=-2 and y=-2 xy = 4 < 6

b: x is +ve and less than .67 but y can have value < 8 or > -8 hence xy will be < 6 always.
Hence B
Re: DS : Inequality .   [#permalink] 27 Mar 2010, 08:35
    Similar topics Author Replies Last post
Similar
Topics:
Is xy<6 (1) x<3 and y<2. (2) 1/2 <x< 2/3 and ritula 2 20 May 2008, 22:35
Experts publish their posts in the topic is xy < 6? i) x<3 and y<2 ii) 1/2 < x < 2/3 zhenmaster 2 04 Apr 2008, 09:46
Is xy < 6? (1) x < 3 and y < 2 (2) 1/2 < x < 2/3 and gowani 1 08 Sep 2007, 14:22
Is xy<6? (1) x<3 and y<2 (2) 1/2<x<2/3 and Hermione 1 28 Oct 2006, 23:15
Is xy < 6? (1) x < 3 and y < 2 (2) < x < 2/3 Folaa3 3 31 Mar 2005, 17:38
Display posts from previous: Sort by

Is xy < 6 ? a.x < 3 and y < 2. b.1/2 < x <

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.