A rectangle is plotted on the standard coordinate plane : GMAT Data Sufficiency (DS) - Page 2
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 19:20

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A rectangle is plotted on the standard coordinate plane

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93367 [0], given: 10557

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

15 Oct 2013, 04:36
Bunuel, I solved the problem using the concept of Pythagorean triplets.
Please check and tell if my solution is correct.
File attached below.

No, it's not correct. The answer is B, not D.

Check my post to see 2 possible scenarios for the first statement.
_________________
Manager
Joined: 07 May 2013
Posts: 109
Followers: 0

Kudos [?]: 24 [0], given: 1

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

15 Oct 2013, 06:46
OK, got it.
Thanks.
Intern
Joined: 20 Jun 2013
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 14

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

02 Jan 2014, 08:12
I think it should be c as 'non-negative integers' means it can be either negative non integer or positive integers. Please correct me if I'm wrong. Thanks!
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93367 [0], given: 10557

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

03 Jan 2014, 03:46
nariskat wrote:
I think it should be c as 'non-negative integers' means it can be either negative non integer or positive integers. Please correct me if I'm wrong. Thanks!

Non-negative integers mean integers more than or equal to zero: 0, 1, 2, ...

Hope it's clear.
_________________
Manager
Joined: 22 Feb 2009
Posts: 229
Followers: 5

Kudos [?]: 133 [0], given: 148

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

01 Aug 2014, 15:15
B is sufficient. The distance from (0,0) to other vertices is 8. So can be point (0,8) or the distance can be the the diagonal length of 8. Then the other length of the rectangle will be \sqrt{( 8^2 -6^2)} = 2\sqrt{7}. And 2\sqrt{7} is not an integer, there is left with one choice. (0,8)
_________________

.........................................................................
+1 Kudos please, if you like my post

Intern
Joined: 14 Dec 2014
Posts: 1
Concentration: Strategy, Finance
GMAT 1: 590 Q36 V35
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

20 Dec 2014, 15:46
I think in either statement you have a distance that can be the x coordinate you need or the diagonal. With 10 you can have (10, 0) or a diagonal 10 in which case with the Pythagorean theorem the coordinates would be (8,0). This is possible so you don't now the solution.
If the distance is 8 you can have (8,0) or a diagonal that gives coordinates (square root of 28, 0) which is not an integer. So in this case the only possibility is for (8,0). Therefore Stat 2 is suf.
Manager
Joined: 27 May 2014
Posts: 85
Followers: 0

Kudos [?]: 19 [0], given: 21

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

21 Dec 2014, 07:53
Bunuel can you explain why the rectangle can't be rotated a few degrees?
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93367 [0], given: 10557

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

21 Dec 2014, 08:03
bankerboy30 wrote:
Bunuel can you explain why the rectangle can't be rotated a few degrees?

Because we re told that the coordinates of all vertices of the rectangle are non-negative integers. If you rotate it this condition would be violated. I think the image here a-rectangle-is-plotted-on-the-standard-coordinate-plane-115697.html#p1098927 should help to visualize this.

Hope it helps.
_________________
Intern
Joined: 16 May 2015
Posts: 15
Followers: 0

Kudos [?]: 3 [0], given: 133

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

### Show Tags

17 May 2015, 07:56
1
This post was
BOOKMARKED
guygmat wrote:
A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (0,6). If the coordinates of all vertices of the rectangle are non-negative integers, what are the coordinates of the other two vertices?

(1) The distance between the origin and one of the other vertices is 10 units.

(2) The distance between the origin and one of the other vertices is 8 units.

The question states that it is a rectangle, so if u look at statement 2.
8 units has to be the length along the x plain because for it to be a square a min length of 6*1.4 =8.4 is needed.
If the length is lower that 8.4, then rectangle would have lower part move into the 4th quadrant, hence 8 has to be along the x axis and not
the diagonal length.

and statement 1 is not sufficient as its is more than 8.4 and hence the rectangle can be formed if it is a the diagonal or the horizontal length.
Re: A rectangle is plotted on the standard coordinate plane   [#permalink] 17 May 2015, 07:56

Go to page   Previous    1   2   [ 29 posts ]

Similar topics Replies Last post
Similar
Topics:
2 A coordinate plane is shown in the figure.. 2 21 May 2014, 02:20
2 In the attached figure: On the xy-coordinate plane, a 4 24 Aug 2011, 19:25
11 On the xy-coordinate plane, a quadrilateral is bounded by 16 17 May 2011, 03:07
9 A rectangle is plotted on the standard coordinate plane, 15 02 Dec 2010, 12:13
3 If, on a coordinate plane, point A has the coordinates 11 25 Jul 2010, 11:53
Display posts from previous: Sort by