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

It is currently 18 Jul 2018, 21:12

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

Triangle integers

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 08 Jul 2009
Posts: 160
Triangle integers [#permalink]

Show Tags

New post 10 Jul 2009, 21:30
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (00:25) correct 0% (00:00) wrong based on 5 sessions

HideShow timer Statistics

Picture a triangle OPQ on a coordinate plane with the following coordinates P(0,30) O (0,0) Q (50,0)

In the figure above, how many of the points on line segment PQ have coordinates that are both integers?
(A) 5
(B) 8
(C) 10
(D) 11
(E) 20

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

This is not a quality discussion. 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.
Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2008
Posts: 279
Re: Triangle integers [#permalink]

Show Tags

New post 10 Jul 2009, 21:44
After drawing/imagining the triangle, you will be able to find out the equation of the line PQ.

ie (Y-Y1)/(X-X1) = m..........m=slope

(30-0)/(0-50) = m
m = -3/5
so slope of PQ is -3/5

Now using Y = mx +C we get Y = -3x/5 + 30.......... equation of line PQ

for Y to be an integer, x must be a multiple of 5. You have 10 multiples of 5 upto 50 (50 is the highest value of x)

ans is 10
Manager
Manager
avatar
Joined: 08 Jul 2009
Posts: 160
Re: Triangle integers [#permalink]

Show Tags

New post 10 Jul 2009, 22:23
The ans is 11 though

I see your point but you are not counting the extremes

50,0
45,3
40,6
35,9
30,12
25,15
20,18
15,21
10,24,
5,27
0,30
Director
Director
User avatar
Joined: 01 Apr 2008
Posts: 827
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: Triangle integers [#permalink]

Show Tags

New post 11 Jul 2009, 01:06
Yup.
X is from 0,5,10...50. so ans shud be 11.
sher676 wrote:
The ans is 11 though

I see your point but you are not counting the extremes

50,0
45,3
40,6
35,9
30,12
25,15
20,18
15,21
10,24,
5,27
0,30
Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2008
Posts: 279
Re: Triangle integers [#permalink]

Show Tags

New post 11 Jul 2009, 06:45
thanks for the correction.

missed out on x=0 :oops :-D

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

This is not a quality discussion. 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.
Re: Triangle integers   [#permalink] 11 Jul 2009, 06:45
Display posts from previous: Sort by

Triangle integers

  post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


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®.