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

It is currently 25 Jun 2018, 02:46

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

Events & Promotions in June
Open Detailed Calendar

If x and y are positive numbers, is y/x<6/11?

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

Hide Tags

Senior SC Moderator
User avatar
V
Joined: 14 Nov 2016
Posts: 1314
Location: Malaysia
GMAT ToolKit User Premium Member CAT Tests
If x and y are positive numbers, is y/x<6/11? [#permalink]

Show Tags

New post 09 Mar 2017, 22:28
2
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

48% (02:37) correct 52% (01:08) wrong based on 79 sessions

HideShow timer Statistics

If x and y are positive numbers, is \(\frac{y}{x}<\frac{6}{11}\)  ?

1)  \(\frac{y}{x}< 0.545\)

2)  \(\frac{x}{y}< 1.834\)

_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

Senior Manager
Senior Manager
avatar
B
Joined: 05 Jan 2017
Posts: 427
Location: India
Premium Member
Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

Show Tags

New post 10 Mar 2017, 02:30
6/11 is 0.54545454
ST 1: y/x<0.545<0.54545454 or 6/11. ANSWER

St 2: x/y<1.834
or y/x>1/1.834
or y/x > 0.545256
0.545256<0.54545454. therefore it can be less than or greater than 6/11. INSUFFICIENT

Option A
Moderator
avatar
V
Joined: 22 Jun 2014
Posts: 1047
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member
Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

Show Tags

New post 18 Mar 2017, 11:03
ziyuen wrote:
If x and y are positive numbers, is \(\frac{y}{x}<\frac{6}{11}\)  ?

1)  \(\frac{y}{x}< 0.545\)

2)  \(\frac{x}{y}< 1.834\)


Hi Bunuel,

Please here on stmt-2:

1000/1834 > 1000/2000 i.e. 1000/1835 is greater than 0.50 but how could we do the approximation faster that 1000/1834 is exactly 0.54525 and not 0.55?

OR this question just demand to actually do the division without calculator?
_________________

---------------------------------------------------------------
Target - 720-740
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5610
GMAT 1: 800 Q59 V59
GPA: 3.82
Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

Show Tags

New post 18 Mar 2017, 17:25
ziyuen wrote:
If x and y are positive numbers, is \(\frac{y}{x}<\frac{6}{11}\)  ?

1)  \(\frac{y}{x}< 0.545\)

2)  \(\frac{x}{y}< 1.834\)



Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Since \(x > 0\) and \(y > 0\), \(t = \frac{y}{x} > 0\). Even though this question uses variables \(x\) and \(y\), it is about t only.
The question asks if \(t < 6/11\).
Here, we have 1 variable, \(t\).
Hence the answer D is most likely.

The conditions can be changed as following.

1) \(t < 0.545\)
2) \(1/t < 1.834\)
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Intern
Intern
avatar
B
Joined: 15 Jun 2013
Posts: 47
Schools: Ivey '19 (I)
GMAT 1: 690 Q49 V35
GPA: 3.82
Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

Show Tags

New post 20 Apr 2017, 07:33
MathRevolution wrote:
ziyuen wrote:
If x and y are positive numbers, is \(\frac{y}{x}<\frac{6}{11}\)  ?

1)  \(\frac{y}{x}< 0.545\)

2)  \(\frac{x}{y}< 1.834\)



Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Since \(x > 0\) and \(y > 0\), \(t = \frac{y}{x} > 0\). Even though this question uses variables \(x\) and \(y\), it is about t only.
The question asks if \(t < 6/11\).
Here, we have 1 variable, \(t\).
Hence the answer D is most likely.

The conditions can be changed as following.

1) \(t < 0.545\)
2) \(1/t < 1.834\)


Bad approach.
If you know that 1/t<2 and you are asked if it is below 1.9, then you have to make some calcs.
In this case with the 2nd case:
you are asked if y/x<6/11 given that x/y<1.834. or is x/y<1.8333333 (made calculations) given x/y<1.834. We can find 1.83333<x/y=1.8339<1.834 therefore insufficient and the answer is A.
Please, advise, why the official answer is D?
Manager
Manager
avatar
S
Joined: 25 Apr 2016
Posts: 57
Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

Show Tags

New post 20 Apr 2017, 07:44
for statement 2nd the question stem could be taken as x/y> 11/6=1.833, which is less than 1.834.Gives a unique answer indeed ; statement 1st is obviously sufficient-> D
Intern
Intern
avatar
B
Joined: 15 Jun 2013
Posts: 47
Schools: Ivey '19 (I)
GMAT 1: 690 Q49 V35
GPA: 3.82
Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

Show Tags

New post 20 Apr 2017, 08:13
attari92 wrote:
for statement 2nd the question stem could be taken as x/y> 11/6=1.833, which is less than 1.834.Gives a unique answer indeed ; statement 1st is obviously sufficient-> D

Thanks!
Forgot to change "<" to ">" when moved from y/x to x/y!
Re: If x and y are positive numbers, is y/x<6/11?   [#permalink] 20 Apr 2017, 08:13
Display posts from previous: Sort by

If x and y are positive numbers, is y/x<6/11?

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


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®.