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

It is currently 22 Oct 2018, 00:51

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

Is 0 < (x−y)/(x−2y) < 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: 50036
Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 13 Feb 2015, 08:45
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

54% (02:23) correct 46% (01:54) wrong based on 147 sessions

HideShow timer Statistics

Manager
Manager
User avatar
Joined: 14 Sep 2014
Posts: 105
Concentration: Technology, Finance
WE: Analyst (Other)
Re: Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 13 Feb 2015, 11:10
1
1
Both statements are insufficient (even when combined).
The answer depends on whether the numbers are positive or negative.

If x = 5 and y = 2, then \((5-2) / (5-4) = 3\) which is greater than 1.
If x = 5 and y = -2, then \((5-(-2)) / (5-(-4)) = 7/9\) which is less than 1.

The correct answer is E.
Current Student
avatar
B
Joined: 01 Feb 2015
Posts: 23
Location: United States (CA)
Concentration: Real Estate
GMAT 1: 680 Q44 V38
GMAT 2: 740 Q49 V42
GPA: 3.45
WE: Project Management (Other)
Re: Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 14 Feb 2015, 09:14
1
I say E as well.

rephrase the equation:

0(x-2y)<x-y<1(x-2y)
0<x-y<x-2y
y<x<x-y

1) x>y
2>1 ----- (1)<(2)<(2-1) ---- 1<2<1 DOESN'T WORK
2>-1 ---- (-1)<(2)<(2- (-1)) ---- -1<2<3 WORKS
NS - depends on values chosen

2) X>2Y can use same numbers as above
2>-2
NS - depends on values chosen

Same information provided for each statement. Together NS

Ans - E
Manager
Manager
avatar
Joined: 14 Jul 2014
Posts: 93
Re: Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 16 Feb 2015, 01:53
Ans - E
Rephrasing the Question, we get
x-2y > x-y >0
-2y > -y > -x
Is x> y > 2y

1) Not suff
2) Not Suff

When combining, we dont know the relation between y & 2y - The results can vary if we quickly plug in +ve, -ve integers or decimals

Hence E
Intern
Intern
avatar
Joined: 28 Jan 2015
Posts: 1
Re: Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 16 Feb 2015, 02:41
1
I think it is E.

Statement 1 is not sufficient as there are many numbers possible.
Statement 2 is also not sufficient. Similar to statement 1.

Both statements together do not add any additional information, so E
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50036
Re: Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 16 Feb 2015, 06:31
Bunuel wrote:
Is 0 < (x−y)/(x−2y) < 1?

(1) x > y
(2) x > 2y


Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION

Correct Answer: E

Explanation: In order to answer the question, we will need to determine whether the numerator is greater than the denominator.

This tells us only that the numerator is positive.
This tells us only that the denominator is positive.
Together, we know that the numerator and denominator are positive, but we don't know which is larger. For example, if x and y are 1 and -1, the answer to the question stem is YES, because plugging in those values give us 2/3 , which is between 0 and 1. But, if x and y are 5 and 2, the answer to the question stem is NO, because we get 3, which is not between 0 and 1. Insufficient.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2657
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 05 Jan 2016, 19:27
i solved it in ~ 2mins by picking numbers.

x-y/x-2y will be between 0 and 1 if both expressions are of the same sign, and the second one will be greater than the first one.

1. x>y. not sufficient.
x=6, y=-5 -> yes.
x=6, y=2 -> no.
A and D - eliminated.

2. x>2y.
x=6, y=1 -> no
x=6, y=-5 -> yes.

2 outcomes, not sufficient, B out.

1+2
x=6 and y=-5 -> yes
x=6, and y=1 -> no.

eliminate C, and pick E.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6975
Re: Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 05 Jan 2016, 22:24
2
Bunuel wrote:
Is 0 < (x−y)/(x−2y) < 1?

(1) x > y
(2) x > 2y


Kudos for a correct solution.


what does the Q stem tell us about x and y..
two things are required for the ans to be yes or no...
1) \(\frac{(x−y)}{(x−2y)}\) should be positive..
so both num and denominator have to be of same sign...

2) for \(\frac{(x−y)}{(x−2y)}\) to be between 0 and 1, num has to be smaller than denominator..
x-y<x-2y..
or y<0..

We can have any data given but we have to look for the above condition..
so what we should look for..
a) either both are correct then ans is YES
b) if we prove even one incorrect, the answer is NO..

lets see the statements...
(1) x > y.... y need not be -ive. and nothing can be said about signs of num and denominator...insuff
(2) x > 2y... we can say both num and deno are positive, but cannot say about the sign of y..insuff.

combined nothing new.. insuff
E
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8515
Premium Member
Re: Is 0 < (x−y)/(x−2y) < 1?  [#permalink]

Show Tags

New post 17 Apr 2018, 20:56
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: Is 0 < (x−y)/(x−2y) < 1? &nbs [#permalink] 17 Apr 2018, 20:56
Display posts from previous: Sort by

Is 0 < (x−y)/(x−2y) < 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®.