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

It is currently 23 May 2019, 04:54

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

Lines m and n are perpendicular to one another. Is the product of the

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55265
Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

Show Tags

New post 25 Jul 2017, 22:46
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

25% (01:46) correct 75% (01:33) wrong based on 19 sessions

HideShow timer Statistics

Lines m and n are perpendicular to one another. Is the product of the slopes of the lines less than the product of the Y-intercepts of the two lines?

(1) Only line m passes through the origin.
(2) None of the lines are parallel to either axis

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Current Student
User avatar
P
Joined: 18 Aug 2016
Posts: 618
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Reviews Badge
Re: Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

Show Tags

New post 26 Jul 2017, 04:44
Bunuel wrote:
Lines m and n are perpendicular to one another. Is the product of the slopes of the lines less than the product of the Y-intercepts of the two lines?

(1) Only line m passes through the origin.
(2) None of the lines are parallel to either axis


Let Line m be y=mx+c and line n be p=qx+d
We know m*q = -1
Question: is mq<cd

(1) only line m passes through origin
c=0 and d is not equal to 0
cd=0 and mq = -1
Sufficient

(2) none of the lines are parallel to either axis

no information about c and d
Hence not sufficient

A
_________________
We must try to achieve the best within us


Thanks
Luckisnoexcuse
Current Student
avatar
B
Joined: 21 Sep 2016
Posts: 13
Location: Zambia
Schools: Duke '20 (A)
GPA: 3
GMAT ToolKit User
Re: Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

Show Tags

New post 14 Aug 2017, 23:59
Bunuel wrote:
Lines m and n are perpendicular to one another. Is the product of the slopes of the lines less than the product of the Y-intercepts of the two lines?

(1) Only line m passes through the origin.
(2) None of the lines are parallel to either axis


Hi Bunuel,

Please explain why statement 1 alone is not sufficient I came up with the same answer as Luckisnoexcuse.
Manager
Manager
avatar
B
Joined: 12 Nov 2016
Posts: 70
Re: Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

Show Tags

New post 15 Aug 2017, 00:25
Bro, that question is not flawed of coordinate geometry..consider 2 scenarios for statement 1:
2 perpendicular lines, 1 line is x axis and the other one is line x=6 . In this case, y intercept of the both the lines will be 0.
Second scenario, what if the perpendicular lines are Y axis and line y=4. In this case y intercept need not be 0 since y axis has x intercept as 0 and can have any value for y including 0. That makes statement 1 insufficient.
Statement 2 is insufficient.
From 1&2, we can definitely answer hence it's C.


Sent from my iPhone using GMAT Club Forum
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55265
Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

Show Tags

New post 15 Aug 2017, 00:41
1
grantcke wrote:
Bunuel wrote:
Lines m and n are perpendicular to one another. Is the product of the slopes of the lines less than the product of the Y-intercepts of the two lines?

(1) Only line m passes through the origin.
(2) None of the lines are parallel to either axis


Hi Bunuel,

Please explain why statement 1 alone is not sufficient I came up with the same answer as Luckisnoexcuse.


The reason is that m could coincide with y-axis, so vertical and in this case n would be parallel to x-axis, so horizontal. Vertical line has undefined slope, which makes comparison impossible. This is somewhat technical thing, so because of this I don't think that the question is of good quality.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
GMAT Club Bot
Lines m and n are perpendicular to one another. Is the product of the   [#permalink] 15 Aug 2017, 00:41
Display posts from previous: Sort by

Lines m and n are perpendicular to one another. Is the product of the

  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®.