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

It is currently 23 Jul 2018, 03:02

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 > y >0, a < 0 and b > 0, then which of the following is (are) tru

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

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 5878
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

Show Tags

New post Updated on: 09 Apr 2018, 23:19
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

83% (01:08) correct 17% (02:14) wrong based on 47 sessions

HideShow timer Statistics

[GMAT math practice question]

If \(x > y >0, a < 0\) and \(b > 0\), then which of the following is (are) true?

Ⅰ. \(ax+by > 0\)
Ⅱ. \(ax-by > 0\)
Ⅲ. \(by-ax > 0\)

A. Ⅰonly
B. Ⅱ only
C. Ⅲ only
D.Ⅰ& Ⅱ only
E. Ⅱ & Ⅲ only

_________________

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"


Originally posted by MathRevolution on 05 Apr 2018, 04:36.
Last edited by MathRevolution on 09 Apr 2018, 23:19, edited 2 times in total.
1 KUDOS received
Manager
Manager
User avatar
G
Joined: 16 Sep 2016
Posts: 225
WE: Analyst (Health Care)
Premium Member CAT Tests
Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

Show Tags

New post 05 Apr 2018, 05:56
1
...which of the following is (are) positive you mean? :-)

Best,
Gladi
DS Forum Moderator
User avatar
P
Joined: 27 Oct 2017
Posts: 627
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

Show Tags

New post 05 Apr 2018, 06:34
Please recheck your question. It seems the question asks if the following is positive?
1)ax +by.
Here ax is negative but we don't know the value of b. Hence it is not possible to define if ax+by is positive or not.
2)ax-by.
Here ax is negative and by is positive. So ax-by is negative.
3) by-ax
Here by is positive and ax is negative. Hence by -ax = positive.

Answer C, only III gives positive value.


MathRevolution wrote:
[GMAT math practice question]

If \(x > y >0, a < 0\) and \(b > 0\), then which of the following is (are) true?

Ⅰ. \(ax+by\)
Ⅱ.\(ax-by\)
Ⅲ. \(by-ax\)

A. Ⅰonly
B. Ⅱ only
C. Ⅲ only
D.Ⅰ& Ⅱ only
E. Ⅱ & Ⅲ only

_________________

SC: Confusable words
All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

Expert Post
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 5878
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

Show Tags

New post 08 Apr 2018, 18:14
=>

Statement I.
\(x = 2, y = 1, a = -1, b = 1\): False

Statement II.
\(x = 2, y = 1, a = -1, b = 1\): False

Statement III.
Since \(a < 0\) and \(x > 0, -ax > 0.\) And by \(> 0\) since \(b > 0\) and \(y > 0\).
\(by – ax = by + (-ax) > 0\). True

Therefore, C is the answer.

Answer: C
_________________

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"

DS Forum Moderator
User avatar
P
Joined: 27 Oct 2017
Posts: 627
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

Show Tags

New post 08 Apr 2018, 19:02
Kindly revise the question.
"Positive" is missing in question stem.

Regards

MathRevolution wrote:
=>

Statement I.
\(x = 2, y = 1, a = -1, b = 1\): False

Statement II.
\(x = 2, y = 1, a = -1, b = 1\): False

Statement III.
Since \(a < 0\) and \(x > 0, -ax > 0.\) And by \(> 0\) since \(b > 0\) and \(y > 0\).
\(by – ax = by + (-ax) > 0\). True

Therefore, C is the answer.

Answer: C


Posted from my mobile device
_________________

SC: Confusable words
All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru &nbs [#permalink] 08 Apr 2018, 19:02
Display posts from previous: Sort by

If x > y >0, a < 0 and b > 0, then which of the following is (are) tru

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

Events & Promotions

PREV
NEXT


cron

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®.