It is currently 20 Oct 2017, 20:23

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If (x/y)>2, is 3x+2y<18? (1) x-y is less than 2 (2)

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
VP
Joined: 30 Jun 2008
Posts: 1034

Kudos [?]: 708 [0], given: 1

If (x/y)>2, is 3x+2y<18? (1) x-y is less than 2 (2) [#permalink]

### Show Tags

03 Nov 2008, 06:49
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If (x/y)>2, is 3x+2y<18?

(1) x-y is less than 2
(2) y-x is less than 2

This one is already discussed.. but I was not able to find it again ...ineqp
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 708 [0], given: 1

Current Student
Joined: 28 Dec 2004
Posts: 3350

Kudos [?]: 319 [0], given: 2

Location: New York City
Schools: Wharton'11 HBS'12
Re: DS : tough inequality [#permalink]

### Show Tags

03 Nov 2008, 08:03
amitdgr wrote:
If (x/y)>2, is 3x+2y<18?

(1) x-y is less than 2
(2) y-x is less than 2
ineqp

stems say x and y have the same sign..

so if x>0, y>0

1) then x-y<2 means y is a fraction, so if x=2, y=1/2; 3x+2y<18
if x<0, y<0
say x=-6, y=-1, then x-y=-6+1=-5<2
3(-6)+2(-1) <18

Suff

2)
y-x<2 ; x>0 y>0 and x/y>2 say if x=1 y=1/4 the 3x+2y<18 is true

if x<0 y<0 also shows that 3x+2y<18
Suff

D it is

Kudos [?]: 319 [0], given: 2

SVP
Joined: 17 Jun 2008
Posts: 1534

Kudos [?]: 279 [0], given: 0

Re: DS : tough inequality [#permalink]

### Show Tags

03 Nov 2008, 11:26
An alternative approach will be to draw inequality graph (sorry for no attachment). You will find that the area enclosed within the X-axis, line x=2y and x=y+2 (as well as y=x+2) satisfies inequality 3x + 2y < 18. Hence, D should be sufficient.

Kudos [?]: 279 [0], given: 0

VP
Joined: 30 Jun 2008
Posts: 1034

Kudos [?]: 708 [0], given: 1

Re: DS : tough inequality [#permalink]

### Show Tags

03 Nov 2008, 11:35
I found the place from where I got this problem ...

But walker says the answer is A ... http://gmatclub.com/forum/7-t68037
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 708 [0], given: 1

Manager
Joined: 23 Aug 2008
Posts: 63

Kudos [?]: 54 [0], given: 0

Re: DS : tough inequality [#permalink]

### Show Tags

06 Nov 2008, 20:19
amitdgr wrote:
If (x/y)>2, is 3x+2y<18?

(1) x-y is less than 2
(2) y-x is less than 2

This one is already discussed.. but I was not able to find it again ...ineqp

This is a tough one. Hope I don't get this in my GMAT.

I'm either getting A, but not very sure on my approach.

If I take y>0, then rephrasing the stem, x>2y, and therefore 3x>6y
Substituting into the question, 3x+2y<18, then 6y+2y<3x+2y<18
so 8y<18
y<2.25 for this to be true

(1) x-y<2
x<2+y plus x>2y
2y<x<2+y
y<2 so y<2.25 is true
Sufficient.

(2) y-x<2
x>y-2 plus x>2y
x has many options, eg y=1 x=3 3x+2y<18 OR y=2 x=5 3x+2y>18
Not sufficient.

Taking y<0, then rephrasing the question, then x<2.25 for the statement to be true.
But we know from the stem that when y<0, x is always negative too. So for negative y, any value of x will do (can simply substitute numbers into the equation to prove this, its quite clear it will always be less than 18)

Therefore (A).

Kudos [?]: 54 [0], given: 0

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 843 [2], given: 19

Re: DS : tough inequality [#permalink]

### Show Tags

06 Nov 2008, 22:33
2
This post received
KUDOS
amitdgr wrote:
If (x/y)>2, is 3x + 2y < 18?

(1) x-y is less than 2
(2) y-x is less than 2

This one is already discussed.. but I was not able to find it again ...ineqp

given that: x/y > 2, which implies that x and y have same sign and lxl > lyl.

(1) (x-y) < 2:
only possible if x and y both are -ve. if x and y both are +ve, then x has to be > 2y. in that case, x - y cannot be < 2.
so x and y are -ve and (3x + 2y) < 18. suff.

(2) y-x is less than 2:
2 is possible when x and y both are either -ve or +ve.
if x and y are both +ve, x has to be > 2y.
a. if x = 5 and y = 2, (3x + 2y) > 18.
b. if x = 4.01 and y = 2, (3x + 2y) < 18.

however if x and y both are -ve, then lxl > lyl and in that case (y - x) > 2. so (3x + 2y) > 18.

nsf.

only A.
_________________

Verbal: http://gmatclub.com/forum/new-to-the-verbal-forum-please-read-this-first-77546.html
Math: http://gmatclub.com/forum/new-to-the-math-forum-please-read-this-first-77764.html
Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

Kudos [?]: 843 [2], given: 19

VP
Joined: 30 Jun 2008
Posts: 1034

Kudos [?]: 708 [0], given: 1

Re: DS : tough inequality [#permalink]

### Show Tags

07 Nov 2008, 05:18
GMAT TIGER wrote:
amitdgr wrote:
If (x/y)>2, is 3x + 2y < 18?

(1) x-y is less than 2
(2) y-x is less than 2

This one is already discussed.. but I was not able to find it again ...ineqp

given that: x/y > 2, which implies that x and y have same sign and lxl > lyl.

(1) (x-y) < 2:
only possible if x and y both are -ve. if x and y both are +ve, then x has to be > 2y. in that case, x - y cannot be < 2.
so x and y are -ve and (3x + 2y) < 18. suff.

(2) y-x is less than 2:
2 is possible when x and y both are either -ve or +ve.
if x and y are both +ve, x has to be > 2y.
a. if x = 5 and y = 2, (3x + 2y) > 18.
b. if x = 4.01 and y = 2, (3x + 2y) < 18.

however if x and y both are -ve, then lxl > lyl and in that case (y - x) > 2. so (3x + 2y) > 18.

nsf.

only A.

NICE +1 !!
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 708 [0], given: 1

Re: DS : tough inequality   [#permalink] 07 Nov 2008, 05:18
Display posts from previous: Sort by

# If (x/y)>2, is 3x+2y<18? (1) x-y is less than 2 (2)

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne 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®.