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

It is currently 10 Dec 2018, 23:17

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

Points A, B, and, C have xy-coordinates (2,0), (8,12), and (

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

Hide Tags

Intern
Intern
avatar
Joined: 14 Mar 2013
Posts: 45
Location: United States
Concentration: General Management, Leadership
GMAT Date: 12-03-2013
WE: General Management (Retail)
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 19 Nov 2013, 02:19
1
3
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (02:09) correct 26% (02:05) wrong based on 187 sessions

HideShow timer Statistics

Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction of the area of triangle ABC is the area of triangle XYZ?

(A) 1/9
(B) 1/8
(C) 1/6
(D) 1/5
(E) 1/3
Manager
Manager
avatar
Joined: 25 Oct 2013
Posts: 153
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 19 Nov 2013, 02:33
If you notice, both triangles ABC and XYZ have a side on X axis. we can take these sides as bases for each triangle, therefore

Area of ABC is 1/2*12*12 (Height of ABC is the y coordinate of the third point (8,12))
similarly Area of XYZ is 1/2*4*4

dividing area of XYZ with that of ABC gives 1/9.

Hope it helps.
_________________

Click on Kudos if you liked the post!

Practice makes Perfect.

VP
VP
User avatar
Joined: 02 Jul 2012
Posts: 1178
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Premium Member
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 19 Nov 2013, 02:33
ABC is a triangle with base = 12 units and height = 12 units

Area = 0.5*base*height = 0.5*12*12 = 72

XYZ is a triangle with base = 4 units and height = 4 units

Area = 0.5*base*height = 0.5*4*4 = 8

Fraction = 8/72 = 1/9
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types

Current Student
User avatar
P
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 1124
Location: India
WE: General Management (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 19 Nov 2013, 02:39
1
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively.


Area of triangle in coordinate plane is

\(1/2 *[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]\)...

The area of ABC will be 72 and area of xyz will be 8..

Fraction : 8/72= 1/9

So the answer is A.
_________________

Become a GMAT Club Premium member to avail lot of discounts

Intern
Intern
avatar
Joined: 26 Aug 2014
Posts: 46
GMAT 1: 650 Q49 V30
GMAT 2: 650 Q49 V31
WE: Programming (Computer Software)
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 02 Sep 2015, 07:08
How do I get heights and bases of triangle ABC and XYZ as 12 and 4 respectively?
CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2633
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 02 Sep 2015, 07:15
1
ShristiK wrote:
How do I get heights and bases of triangle ABC and XYZ as 12 and 4 respectively?


If you plot the points in XY plane, you will see that the height of triangle ABC = y-coordinate of B = 12, the other 2 points lie on the X axis and thus can not give the height of the triangle.

Similarly, height of triangle XYZ = y-coordinate of Y = 4, the other 2 points lie on the X axis and thus can not give the height of the triangle.

Hope this helps.
Intern
Intern
avatar
Joined: 26 Aug 2014
Posts: 46
GMAT 1: 650 Q49 V30
GMAT 2: 650 Q49 V31
WE: Programming (Computer Software)
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 02 Sep 2015, 08:17
Thanks a lot!
I really need to read the question carefully. I've been plotting (14,0) and (10,0) as (0,14) and (0,10) all this time!
Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 377
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 22 Oct 2016, 08:58
I'd recommend plotting this one. It's very easy to see that they are equilateral triangles & you can calculate the area of each and compare.

Area ABC = 36sqrt(3)
Area XYZ = 4sqrt(3)

Ratio of XYZ: ABC = 1/9
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9102
Premium Member
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (  [#permalink]

Show Tags

New post 18 Aug 2018, 18:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Points A, B, and, C have xy-coordinates (2,0), (8,12), and ( &nbs [#permalink] 18 Aug 2018, 18:04
Display posts from previous: Sort by

Points A, B, and, C have xy-coordinates (2,0), (8,12), and (

  new topic 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®.