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

It is currently 09 Dec 2019, 18:50

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

A rectangle is plotted on the standard coordinate plane,

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 23 Nov 2010
Posts: 8
A rectangle is plotted on the standard coordinate plane,  [#permalink]

Show Tags

New post Updated on: 03 Dec 2010, 11:19
11
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

58% (01:28) correct 42% (01:24) wrong based on 241 sessions

HideShow timer Statistics

A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (12,0). What are the coordinates of the other two vertices?

(1) The length of the diagonal is 13 units.

(2) The distance between the origin and one of the other vertices is 5 units.

Originally posted by JenniferClopton on 02 Dec 2010, 13:13.
Last edited by JenniferClopton on 03 Dec 2010, 11:19, edited 1 time in total.
Intern
Intern
avatar
Joined: 23 Nov 2010
Posts: 8
Re: DS: Coordinate Plane  [#permalink]

Show Tags

New post Updated on: 03 Dec 2010, 11:20
***OA INCORRECTLY LISTED AS "A." CORRECT ANSWER IS "E" AS CONFIRMED BELOW.***

I chose E. Does "standard coordinate plane" imply Q1? If not, couldn't the rectangle lie in either Q1 or Q4?

Furthermore, if Q1 is implied, then why is the answer not D?

Originally posted by JenniferClopton on 02 Dec 2010, 13:16.
Last edited by JenniferClopton on 03 Dec 2010, 11:20, edited 2 times in total.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59622
Re: DS: Coordinate Plane  [#permalink]

Show Tags

New post 02 Dec 2010, 13:27
2
2
JenniferClopton wrote:
A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (12,0). What are the coordinates of the other two vertices?

(1) The length of the diagonal is 13 units.

(2) The distance between the origin and one of the other vertices is 5 units.


So we have two vertices O(0,0) and B(12,0). First note that OA may be either one of the sides or a diagonal.

(1) The length of the diagonal is 13 units --> clearly OA is not a diagonal, so it's one of the sides. Now, if we take the length of the other side to be equal to x then we'll have x^2+12^2=13^2 --> x=5. But from this we can not get the coordinates of the other vertices. As you correctly noted rectangle can be in I quadrant with the other two vertices at (0, 5) and (12, 5) OR in IV quadrant with the other two vertices at (0, -5) and (12, -5). Not sufficient.

(2) The distance between the origin and one of the other vertices is 5 units. Clearly insufficient.

(1)+(2) Still two answers are possible: (0, 5) and (12, 5) OR (0, -5) and (12, -5). Not sufficient.

Answer: E.
_________________
Intern
Intern
avatar
Joined: 23 Nov 2010
Posts: 8
Re: DS: Coordinate Plane  [#permalink]

Show Tags

New post 02 Dec 2010, 13:38
OK, while I had not considered the additional possibilities of a rotated position, I concur that the answer is E.

Unless I have missed something, this question is wrong?

Are we absolutely sure that Q1 is not implied?
Attachments

File comment: Official Question
Untitled-2.jpg
Untitled-2.jpg [ 102.97 KiB | Viewed 4898 times ]

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59622
Re: DS: Coordinate Plane  [#permalink]

Show Tags

New post 02 Dec 2010, 13:43
Manager
Manager
avatar
Joined: 30 Aug 2010
Posts: 80
Location: Bangalore, India
Re: DS: Coordinate Plane  [#permalink]

Show Tags

New post 03 Dec 2010, 05:02
JenniferClopton wrote:
A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (12,0). What are the coordinates of the other two vertices?

(1) The length of the diagonal is 13 units.

(2) The distance between the origin and one of the other vertices is 5 units.


The answr must be "E". Not "A". Please post the correct OA.

Here is the simle explanation.

Just imagine the rectangle in the co-ordinate place. You get the answer. No need to use any calculations/values.

The below shows the picture with two rectangles, one in red and another in green, which can be drawn for statement given and which have different co-ordinates except the two given in the question.

Attachment:
rectangles.JPG
rectangles.JPG [ 7.93 KiB | Viewed 4829 times ]


Regards,
Murali.
Kudos?
Intern
Intern
avatar
Joined: 07 Sep 2010
Posts: 6
GMAT 1: 730 Q50 V38
Re: DS: Coordinate Plane  [#permalink]

Show Tags

New post 03 Dec 2010, 08:59
even if it is implied the answer shud be D not A becoz 5 cant be the diagonal as one side is already 12 and the diagonal will be greater than both sides.

Cheers,
Jaxis.
Intern
Intern
avatar
Joined: 23 Nov 2010
Posts: 8
Re: DS: Coordinate Plane  [#permalink]

Show Tags

New post 03 Dec 2010, 11:25
Bunuel wrote:
Yes, I think answer A is wrong.

muralimba wrote:
The answr must be "E". Not "A". Please post the correct OA.


The answer has been corrected above. Also, for any Grockit subscribers, I have reported the error to the Grockit support team.
Intern
Intern
avatar
Joined: 04 May 2009
Posts: 41
Location: Astoria, NYC
Re: DS: Coordinate Plane  [#permalink]

Show Tags

New post 07 Dec 2010, 08:17
wow good question i didnt see the other quadrant possibility.
Intern
Intern
avatar
Joined: 14 Feb 2013
Posts: 19
Re: A rectangle is plotted on the standard coordinate plane,  [#permalink]

Show Tags

New post 22 Jul 2014, 06:44
Bunuel wrote:
JenniferClopton wrote:
A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (12,0). What are the coordinates of the other two vertices?

(1) The length of the diagonal is 13 units.

(2) The distance between the origin and one of the other vertices is 5 units.


So we have two vertices O(0,0) and B(12,0). First note that OA may be either one of the sides or a diagonal.

(1) The length of the diagonal is 13 units --> clearly OA is not a diagonal, so it's one of the sides. Now, if we take the length of the other side to be equal to x then we'll have x^2+12^2=13^2 --> x=5. But from this we can not get the coordinates of the other vertices. As you correctly noted rectangle can be in I quadrant with the other two vertices at (0, 5) and (12, 5) OR in IV quadrant with the other two vertices at (0, -5) and (12, -5). Not sufficient.

(2) The distance between the origin and one of the other vertices is 5 units. Clearly insufficient.

(1)+(2) Still two answers are possible: (0, 5) and (12, 5) OR (0, -5) and (12, -5). Not sufficient.

Answer: E.



How can a rectangle have two unequal parallel sides (12 & 13)?

beats me
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59622
Re: A rectangle is plotted on the standard coordinate plane,  [#permalink]

Show Tags

New post 22 Jul 2014, 06:48
hamzakb wrote:
Bunuel wrote:
JenniferClopton wrote:
A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (12,0). What are the coordinates of the other two vertices?

(1) The length of the diagonal is 13 units.

(2) The distance between the origin and one of the other vertices is 5 units.


So we have two vertices O(0,0) and B(12,0). First note that OA may be either one of the sides or a diagonal.

(1) The length of the diagonal is 13 units --> clearly OA is not a diagonal, so it's one of the sides. Now, if we take the length of the other side to be equal to x then we'll have x^2+12^2=13^2 --> x=5. But from this we can not get the coordinates of the other vertices. As you correctly noted rectangle can be in I quadrant with the other two vertices at (0, 5) and (12, 5) OR in IV quadrant with the other two vertices at (0, -5) and (12, -5). Not sufficient.

(2) The distance between the origin and one of the other vertices is 5 units. Clearly insufficient.

(1)+(2) Still two answers are possible: (0, 5) and (12, 5) OR (0, -5) and (12, -5). Not sufficient.

Answer: E.



How can a rectangle have two unequal parallel sides (12 & 13)?

beats me


It cannot. Where in my solution is written this?
_________________
Intern
Intern
avatar
Joined: 14 Feb 2013
Posts: 19
Re: A rectangle is plotted on the standard coordinate plane,  [#permalink]

Show Tags

New post 22 Jul 2014, 07:05
(1) The length of the diagonal is 13 units.

(2) The distance between the origin and one of the other vertices is 5 units.[/quote]

So we have two vertices O(0,0) and B(12,0). First note that OA may be either one of the sides or a diagonal.

(1) The length of the diagonal is 13 units --> clearly OA is not a diagonal, so it's one of the sides. Now, if we take the length of the other side to be equal to x then we'll have x^2+12^2=13^2 --> x=5. But from this we can not get the coordinates of the other vertices. As you correctly noted rectangle can be in I quadrant with the other two vertices at (0, 5) and (12, 5) OR in IV quadrant with the other two vertices at (0, -5) and (12, -5). Not sufficient.

(2) The distance between the origin and one of the other vertices is 5 units. Clearly insufficient.

(1)+(2) Still two answers are possible: (0, 5) and (12, 5) OR (0, -5) and (12, -5). Not sufficient.

Answer: E.[/quote][/quote]




You say clearly OA is not a diagonal, it is one of the side. I think you are mentioning to two sets of parallel lines having length 12 & 13?

Also, how can 13 not be a diagonal, given that it has been explicitly mentioned in the question that it IS a diagonal.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59622
Re: A rectangle is plotted on the standard coordinate plane,  [#permalink]

Show Tags

New post 22 Jul 2014, 07:31
hamzakb wrote:
You say clearly OA is not a diagonal, it is one of the side. I think you are mentioning to two sets of parallel lines having length 12 & 13?

Also, how can 13 not be a diagonal, given that it has been explicitly mentioned in the question that it IS a diagonal.


You are not reading the question and the solution carefully. Also, with geometry and coordinate geometry question it's always a good idea to make a sketch:
Attachment:
Untitled.png
Untitled.png [ 8.01 KiB | Viewed 3623 times ]
OA is NOT the diagonal it's one of the sides, diagonal = 13. Two possible rectangles.

Hope it's clear now.
_________________
Intern
Intern
avatar
Joined: 14 Feb 2013
Posts: 19
Re: A rectangle is plotted on the standard coordinate plane,  [#permalink]

Show Tags

New post 22 Jul 2014, 08:27
Bunuel wrote:
hamzakb wrote:
You say clearly OA is not a diagonal, it is one of the side. I think you are mentioning to two sets of parallel lines having length 12 & 13?

Also, how can 13 not be a diagonal, given that it has been explicitly mentioned in the question that it IS a diagonal.


You are not reading the question and the solution carefully. Also, with geometry and coordinate geometry question it's always a good idea to make a sketch:
Attachment:
Untitled.png
OA is NOT the diagonal it's one of the sides, diagonal = 13. Two possible rectangles.

Hope it's clear now.




I get it. I didn't understand properly before.

Thanks a lot!! Your posts are the most helpful I've found on the net
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8245
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: A rectangle is plotted on the standard coordinate plane,  [#permalink]

Show Tags

New post 22 Oct 2015, 13:27
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (12,0). What are the coordinates of the other two vertices?

(1) The length of the diagonal is 13 units.

(2) The distance between the origin and one of the other vertices is 5 units.

There is one variable (b), and 2 equations are given; the answer is likely to be (D).
From condition 1, b=5, -5. So this is an insufficient condition as it does not give a unique answer.
condition 2, similarly, gives b=5, -5, so this is also insufficient for the same reason.
Even if we combine the 2 conditions, b=5,-5, so as a whole, they are insufficient, so the answer is going to be (E).

For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
_________________
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"
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13731
Re: A rectangle is plotted on the standard coordinate plane,  [#permalink]

Show Tags

New post 28 Nov 2019, 07:31
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 Club Bot
Re: A rectangle is plotted on the standard coordinate plane,   [#permalink] 28 Nov 2019, 07:31
Display posts from previous: Sort by

A rectangle is plotted on the standard coordinate plane,

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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