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

It is currently 15 Oct 2019, 05:29

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

Find Similar Topics 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8005
GMAT 1: 760 Q51 V42
GPA: 3.82
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:

  15% (low)

Question Stats:

81% (01:35) correct 19% (02:27) wrong based on 61 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 $79 for 1 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.
Senior PS Moderator
User avatar
D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 737
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
GMAT ToolKit User Reviews Badge
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
_________________
Regards,
Gladi



“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1256
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
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

_________________
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8005
GMAT 1: 760 Q51 V42
GPA: 3.82
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 $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1256
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
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
_________________
GMAT Club Bot
Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru   [#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  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne