Is xy < 6 ? a.x < 3 and y < 2. b.1/2 < x < : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 19 Jan 2017, 14:03

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

Hide Tags

Manager
Joined: 03 Feb 2010
Posts: 68
Followers: 1

Kudos [?]: 57 [0], given: 4

Is xy < 6 ? a.x < 3 and y < 2. b.1/2 < x < [#permalink]

Show Tags

26 Mar 2010, 11:02
00:00

Difficulty:

(N/A)

Question Stats:

80% (01:38) correct 20% (01:26) wrong based on 12 sessions

HideShow timer Statistics

Is xy < 6 ?
a.x < 3 and y < 2.
b.1/2 < x < 2/3 and y^2 < 64.

source : OG10.
Senior Manager
Joined: 19 Nov 2009
Posts: 326
Followers: 5

Kudos [?]: 89 [1] , given: 44

Re: DS : Inequality . [#permalink]

Show Tags

26 Mar 2010, 11:22
1
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
Joined: 21 Mar 2010
Posts: 22
Followers: 0

Kudos [?]: 9 [0], given: 2

Re: DS : Inequality . [#permalink]

Show Tags

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
Joined: 19 Nov 2009
Posts: 326
Followers: 5

Kudos [?]: 89 [0], given: 44

Re: DS : Inequality . [#permalink]

Show Tags

26 Mar 2010, 12:54
my pleasure
Senior Manager
Joined: 01 Feb 2010
Posts: 267
Followers: 1

Kudos [?]: 55 [1] , given: 2

Re: DS : Inequality . [#permalink]

Show Tags

27 Mar 2010, 08:35
1
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 Replies Last post
Similar
Topics:
3 Is - 3 < y < 5 ? (1) - 2 < y < 7 (2) - 4 < y < 6 10 01 Nov 2015, 08:13
5 If xy < 3, is x < 3 ? 9 18 Jun 2012, 01:23
5 Is xy < 6 (1) x < 3 and y < 2 (2) 1/2 < x < 2/3 and y^2 < 64 11 06 Nov 2010, 13:00
30 Is xy<0 ? (1) x^3*y^5/x*y^2 <0 (2) |x|-|y|<|x-y 26 12 Nov 2009, 18:09
21 Is xy < 6 (1) x < 3 and y < 2 (2) 1/2 < x < 2/3 and y^2 < 64 12 24 Oct 2009, 04:36
Display posts from previous: Sort by