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

It is currently 20 Oct 2018, 19:39

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

What are the coordinates of point B in the figure above ?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50007
What are the coordinates of point B in the figure above ?  [#permalink]

Show Tags

New post 27 Aug 2015, 01:43
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (01:17) correct 20% (01:43) wrong based on 146 sessions

HideShow timer Statistics

Image
What are the coordinates of point B in the figure above ?

(1) The area of ∆ABC = 30

(2) Length of CB = 13


Kudos for a correct solution.


Attachment:
ds6.png
ds6.png [ 17.7 KiB | Viewed 1711 times ]

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Most Helpful Community Reply
Manager
Manager
User avatar
Joined: 14 Mar 2014
Posts: 147
GMAT 1: 710 Q50 V34
Re: What are the coordinates of point B in the figure above ?  [#permalink]

Show Tags

New post 27 Aug 2015, 03:30
2
3
Bunuel wrote:
Image
What are the coordinates of point B in the figure above ?

(1) The area of ∆ABC = 30

(2) Length of CB = 13

Kudos for a correct solution.

Attachment:
ds6.png


IMO: D

Given ∠CAB = 90 . Thus Line AB is parallel to x-axis and the y cordinate will always be "4"

St 1: The area of ∆ABC = 30


Area = \(\frac{1}{2}\)breadth * height
30 = \(\frac{1}{2}\) AC * AB
30 = \(\frac{1}{2}\) 5* AB
AB = 12
Thus Coordinates of B( 9,4)
Suff


St 2: Length of CB = 13

C(-3,-1) B(x,4)
Using Distance formula we can calculate the value of x
Which will be 9
Suff
_________________

I'm happy, if I make math for you slightly clearer
And yes, I like kudos
¯\_(ツ)_/¯ :-)

General Discussion
Manager
Manager
avatar
B
Joined: 26 Dec 2012
Posts: 146
Location: United States
Concentration: Technology, Social Entrepreneurship
WE: Information Technology (Computer Software)
CAT Tests
Re: What are the coordinates of point B in the figure above ?  [#permalink]

Show Tags

New post 28 Aug 2015, 11:38
B(x,4); we have to find out x.
1. 1/2* 5*x=30 ; so we can find out value of x. sufficient.
2. distance between (-3,-1) and (x,4) is 13 so we will be able to find out value of x. sufficient.

Hence answer is D
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: What are the coordinates of point B in the figure above ?  [#permalink]

Show Tags

New post 19 May 2017, 23:15
AC and AB are perpendicular, and we can see slope of AC = (4-(-1))/(-3-(-3)) = infinity
so slope of AB must be 0. Or we can say that since AC is parallel to y-axis, AB must be parallel to x-axis hence its slope must be 0.

This means the y-coordinate of point B must be same as y-coordinate of point A. Thus we can say that point B is (x,4). Our task is to find the value of x and the question is solved. If distance AB is known then also point B can be easily calculated.
We also know that distance AC = 5 (apply distance formula or its just plain visible).

Statement 1. Area of a right angled triangle = 1/2 * product of two perpendicular sides.
Ac is known so AB can be calculated. Thus x can be found. Sufficient.

Statement 2. Length of CB=13. This is a right angle triangle, so using Pythagoras theorem, AB can be calculated.
Thus x can be found. Sufficient.

Hence answer is D
CEO
CEO
User avatar
P
Joined: 08 Jul 2010
Posts: 2560
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: What are the coordinates of point B in the figure above ?  [#permalink]

Show Tags

New post 20 May 2017, 05:08
Bunuel wrote:
Image
What are the coordinates of point B in the figure above ?

(1) The area of ∆ABC = 30

(2) Length of CB = 13


Kudos for a correct solution.


Attachment:
ds6.png


Question: Co-ordinates of point B ?

Observation 1: that the given triangle ABC is a right triangle with one of the legs AC of length 5 units [Distance between (-3,4) and (-3,-1)]
Observation 2: Line AB is parallel to X-Axis so all we need is X-coordinate of point B or length of length of AC to find length of AB using pythagorus theorem

Statement 1: Area of ABC = 30
i.e. (1/2)*AB*AC = 30
i.e. (1/2)*AB*5 = 30
i.e. AB = 12
SUFFICIENT

Statement 2: BC=13
Using pythagorus theorem we find that AB = 12
SUFFICIENT

Answer: Option D
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 3021
Location: Canada
Re: What are the coordinates of point B in the figure above ?  [#permalink]

Show Tags

New post 30 Apr 2018, 10:17
1
Top Contributor
Bunuel wrote:
Image
What are the coordinates of point B in the figure above ?

(1) The area of ∆ABC = 30

(2) Length of CB = 13


Kudos for a correct solution.


Attachment:
ds6.png


IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the video below.

Target question: What are the coordinates of point B ?

NOTE: points A and C are LOCKED in their positions. Since ∠CAB = 90º, we know that point B is SOMEWHERE along the line y = 4. So, some of the MANY possible cases are as follows:

Image

Image

Image

Notice that, for EACH different position of point B, ∆ABC has a different area and side CB has a different length.

Okay, onto the statements...
Statement 1: The area of ∆ABC = 30
As I mentioned above, for EACH different position of point B, ∆ABC has a different area.
So, knowing that the area is 30, LOCKS point B into ONE AND ONLY ONE location.
In other words, statement 1 LOCKS IN the shape/dimensions of ∆ABC, which means there must be only one location for point B.
As such, statement 1 is SUFFICIENT

Statement 2: Length of CB = 13
As I mentioned above, for EACH different position of point B, side CB has a different length.
So, knowing that side CB has length 13 LOCKS point B into ONE AND ONLY ONE location.
In other words, statement 2 LOCKS IN the shape/dimensions of ∆ABC, which means there must be only one location for point B.
As such, statement 2 is SUFFICIENT

Answer: D

RELATED VIDEO

_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

GMAT Club Bot
Re: What are the coordinates of point B in the figure above ? &nbs [#permalink] 30 Apr 2018, 10:17
Display posts from previous: Sort by

What are the coordinates of point B in the figure above ?

  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®.