If x/y > 2, is 3x + 2y < 18 ? (1) x - y is less than : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 05:29

### 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

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

Author Message
VP
Joined: 22 Nov 2007
Posts: 1092
Followers: 8

Kudos [?]: 486 [0], given: 0

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

### Show Tags

09 Mar 2008, 08:53
1
This post was
BOOKMARKED
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.
Current Student
Joined: 28 Dec 2004
Posts: 3384
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 15

Kudos [?]: 282 [0], given: 2

### Show Tags

09 Mar 2008, 09:48
I get A..

I will post an answer if correct..
Senior Manager
Joined: 20 Dec 2004
Posts: 255
Followers: 6

Kudos [?]: 106 [0], given: 0

### Show Tags

09 Mar 2008, 20:09
bump.

what is the oa ?
_________________

Stay Hungry, Stay Foolish

Current Student
Joined: 28 Dec 2004
Posts: 3384
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 15

Kudos [?]: 282 [0], given: 2

### Show Tags

09 Mar 2008, 21:14
man, i have no exact way of doing this problem..just plugged numbers..and figured with
statement II
suppose x=18 y=8.1 x/y>2

3x-2y is greater that 18..

suppose x=3 y=0.5 then x/y >2 and 3x-2y will be less than 18..insuff

keep in mind y-x<2 is true in both cases

statement 1) well i just plugged 1 or 2 numbers and kinda feel that the answer is always 3x-2y will always be less than 18..
SVP
Joined: 29 Aug 2007
Posts: 2492
Followers: 68

Kudos [?]: 735 [0], given: 19

### Show Tags

10 Mar 2008, 00:03
marcodonzelli wrote:
If x/y > 2, is 3x + 2y < 18 ?

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

given that x/y > 2, x and y both are either -ve or +ve.

from 1: x - y < 2.
x < y+2

if both are +ve, x is not greater than y+2.
so if y = 0.5, x should be <2.5. lets say x =2.49
3x + 2y = (3x2.49) + (2x0.5) = 8.498. suff..

if both are -ve, they obviously are less than 18. suff.

(2) y - x < 2

given that x/y > 2, x and y both are either -ve or +ve.

in this case, x could be 20 and y = 5 or x = 3 and y = 1.2.
so not suff.

A is it.
_________________

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

VP
Joined: 22 Nov 2007
Posts: 1092
Followers: 8

Kudos [?]: 486 [0], given: 0

### Show Tags

16 Mar 2008, 00:42
GMAT TIGER wrote:
marcodonzelli wrote:
If x/y > 2, is 3x + 2y < 18 ?

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

given that x/y > 2, x and y both are either -ve or +ve.

from 1: x - y < 2.
x < y+2

if both are +ve, x is not greater than y+2.
so if y = 0.5, x should be <2.5. lets say x =2.49
3x + 2y = (3x2.49) + (2x0.5) = 8.498. suff..

if both are -ve, they obviously are less than 18. suff.

(2) y - x < 2

given that x/y > 2, x and y both are either -ve or +ve.

in this case, x could be 20 and y = 5 or x = 3 and y = 1.2.
so not suff.

A is it.

OA is A

argument says that x/y>2. in case y is negative also x must be neg and our thesis is shown. in the case of y<0 there could be differences.

1.if y>0, then x>2x; 3*2y + 2y=8y; if y<2, as 1. says, we would have 8y<16<18. suff
2.in the case of y>0, x>2y and, following 2, y>-2. this adds nothing

therefore oa is A
Re: inequalities   [#permalink] 16 Mar 2008, 00:42
Display posts from previous: Sort by