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

It is currently 24 Sep 2018, 12:41

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

If x is an integer, is (3x - y)^(1/2) = (2x - 2y)^(1/2) ?

  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: 49430
If x is an integer, is (3x - y)^(1/2) = (2x - 2y)^(1/2) ?  [#permalink]

Show Tags

New post 02 Oct 2017, 04:43
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

29% (01:32) correct 71% (01:56) wrong based on 80 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 29 Aug 2017
Posts: 35
Re: If x is an integer, is (3x - y)^(1/2) = (2x - 2y)^(1/2) ?  [#permalink]

Show Tags

New post 02 Oct 2017, 22:13
Bunuel wrote:
If x is an integer, is \(\sqrt{3x - y} = \sqrt{2x - 2y}\) ?

(1) x^2 = y
(2) x = y


Question: Is \((3x - y)^2 = (2x - 2y)^2\)
Is \(9x^2 -6xy+ y^2 = 4x^2 -8xy + 4y^2\)
Is \(5x^2 + 2xy -3y^2 = 0\)
Is \(5x^2 + 5xy -3xy - 3y^2 = 0\)
Is \(5x(x+y) -3y(x+y) = 0\)
Is \((5x - 3y)(x + y) = 0\)
Is 5x= 3y or x = -y
Is x/y = 3/5 or -1

Statement 1: x^2 = y
x/y = 1/x
This is not sufficient to know whether x/y = 5/3 or -1 since 1/x could be anything

Statement 2: x = y
x/y = 1
This statement is sufficient because it proves that x/y is not equal to 5/3 or -1.

Hence, the answer is B.
Senior Manager
Senior Manager
avatar
G
Joined: 02 Apr 2014
Posts: 476
GMAT 1: 700 Q50 V34
Re: If x is an integer, is (3x - y)^(1/2) = (2x - 2y)^(1/2) ?  [#permalink]

Show Tags

New post 17 Jan 2018, 14:57
1
1
Hi, Bunuel,

How come answer will be D?

From both the statements,

if x = 1, y = 1, answer to \(\sqrt{3x-y}\) = \(\sqrt{2x-2y}\) ? is No
if x = 0, y = 0, answer to \(\sqrt{3x-y}\) = \(\sqrt{2x-2y}\) ? is Yes

am i missing anything?

Please help.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49430
Re: If x is an integer, is (3x - y)^(1/2) = (2x - 2y)^(1/2) ?  [#permalink]

Show Tags

New post 17 Jan 2018, 21:03
hellosanthosh2k2 wrote:
Hi, Bunuel,

How come answer will be D?

From both the statements,

if x = 1, y = 1, answer to \(\sqrt{3x-y}\) = \(\sqrt{2x-2y}\) ? is No
if x = 0, y = 0, answer to \(\sqrt{3x-y}\) = \(\sqrt{2x-2y}\) ? is Yes

am i missing anything?

Please help.


Yes, the answer is E, not D. Edited. Thank you.
_________________

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

GMAT Club Bot
Re: If x is an integer, is (3x - y)^(1/2) = (2x - 2y)^(1/2) ? &nbs [#permalink] 17 Jan 2018, 21:03
Display posts from previous: Sort by

If x is an integer, is (3x - y)^(1/2) = (2x - 2y)^(1/2) ?

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

Events & Promotions

PREV
NEXT


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®.