GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Jan 2019, 22:18

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

     January 21, 2019

     January 21, 2019

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

If y = −1/2, is 2x/y > 1?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52348
If y = −1/2, is 2x/y > 1?  [#permalink]

Show Tags

New post 08 Feb 2017, 00:48
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:17) correct 37% (01:14) wrong based on 82 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
G
Joined: 19 Apr 2016
Posts: 274
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
Re: If y = −1/2, is 2x/y > 1?  [#permalink]

Show Tags

New post 08 Feb 2017, 02:18
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer


2x/y = 2x/(-1/2) = -4x => is -4x >1 ?

St I
x < 0
if x = -1; -4x = 4 >1
if x = -1/8; -4x = 1/2 <1 -----------Insufficient

St II
x is an Integer
if x = -1; -4x = 4 >1
if x = 1; -4x = -4 <1 -----------Insufficient

St I and II
x < 0 and x is an Integer
if x=-1; -4x=4 >1
if x=-2; -4x=8 >1
if x=-100; -4x=400 >1

Hence Option C is correct.
Hit Kudos if you liked it 8-)
Manager
Manager
avatar
S
Joined: 13 Dec 2013
Posts: 154
Location: United States (NY)
Concentration: General Management, International Business
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
If y = −1/2, is 2x/y > 1?  [#permalink]

Show Tags

New post 08 Feb 2017, 09:50
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer


Using y, question is is -4x>1?

1) x<0. x could be -0.1, in which case -4x<1. Or, x could be -1, in which case -4x>1. Not suff.
2) Clearly insuff.

1)&2) Greatest value x can be is -1, in which case -4x>1. Suff. C
Director
Director
avatar
P
Joined: 14 Nov 2014
Posts: 632
Location: India
GMAT 1: 700 Q50 V34
GPA: 3.76
Re: If y = −1/2, is 2x/y > 1?  [#permalink]

Show Tags

New post 08 Feb 2017, 23:17
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer



2x/y = -4x

-4x > 1 (we need to prove).

1. x <0 ..
a. -4 * -1/8 = 0.5(No)
b.-4 * -1 = 4(yes)
Not suff.

2. x is an integer , so may be -ve or +ve ..not suff

combining 1 and 2 ..
the smallest number that we can get is -4 * -1 =4 ...so suff...
Hence C.
Director
Director
User avatar
V
Joined: 06 Jan 2015
Posts: 569
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Premium Member
Re: If y = −1/2, is 2x/y > 1?  [#permalink]

Show Tags

New post 09 Feb 2017, 03:41
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer


By Testing the values

(1) x<0

If x=-1/2

than 2x/y > 1==>2--Yes

If x=-1/10

than 2x/y > 1==>0.4--No

1) is not suff

2)x is an integer

If x=10 than 2x/y > 1--gives -ve so ans is no

If x=-10 than 2x/y > 1--gives +ve so ans is yes

2)is not suff

Using 1 and 2

We get 2x/y > 1--yes

Hence C
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If y = −1/2, is 2x/y > 1?  [#permalink]

Show Tags

New post 13 Feb 2017, 07:43
1
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer


We are given that y = -1/2 and we need to determine whether 2x/y > 1.

Substituting -1/2 for y, we have:

Is 2x/(-1/2) > 1 ?

Is -4x > 1 ?

Is x < -1/4 ?

Statement One Alone:

x < 0

Although we know that x is less than zero, we still cannot determine whether it’s less than -1/4. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

x is an integer.

Since there are positive and negative integers and zero, statement two alone is not sufficient to determine whether x is less than -1/4.

Statements One and Two Together:

Using the information from statements one and two, we know that x is less than zero and that x is an integer. Thus, x ≤ -1, and must be less than -1/4.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9460
Premium Member
Re: If y = −1/2, is 2x/y > 1?  [#permalink]

Show Tags

New post 08 Apr 2018, 06:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If y = −1/2, is 2x/y > 1? &nbs [#permalink] 08 Apr 2018, 06:39
Display posts from previous: Sort by

If y = −1/2, is 2x/y > 1?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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

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®.