gmat preparation courses

It is currently Sat Jan 20, 2018 12:29 pm

All times are UTC - 5 hours [ DST ]




Post new topic Reply to topic  [ 2 posts ] 
Author Message
 Post subject: GMAT Coordinate Geometry (Data Sufficiency)
PostPosted: Mon Mar 12, 2012 12:54 pm 
Offline

Joined: Sun May 30, 2010 3:15 am
Posts: 424
Line A passes through point (r, s) on the coordinate plane. Is the slope of A > 0?
(1) Line A passes through point (0, 0).
(2) Line A passes through point (u, t), where r > u and t > s.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
D. Either statement BY ITSELF is sufficient to answer the question.
E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, meaning that further information would be needed to answer the question.

(B) The slope of a line is determined by the formula:
Slope = m = (change in y)/(change in x).

To establish the sufficiency of the statements, substitute the given values into the formula.

Statement (1): m = (s – 0)/(r – 0) tells us that the slope of A is s/r, but, because it doesn't tell us whether s and r are positive or negative, the slope cannot be determined. Thus, Statement (1) is insufficient.
Note: Be careful that you do not assume, because s and r do not have a negative sign before them, that they are positive. The both variables can be positive or negative.

Statement (2): m = (st)/(ru) tells us that the numerator in this equation is negative, because t > s. The denominator (ru) is positive because r > u. So the slope of line A is negative, and thus Statement (2) is sufficient.

Since Statement (1) is insufficient and Statement (2) is sufficient, the correct answer is B.
----------
In the question it is mentioned that line A passes through (r, s) in the coordinate plane. In option 1 it is clearly stated that line A passes through (0, 0). So, the slope becomes (s – 0)/(r – 0) = s/r.
When it is mentioned that in the coordinate plane there is a point (r, s) so it can be fathomed that r is in +ve x quadrant and s is also in +ve Y quadrant. If it is mentioned that (r, s) an arbitrary point lies in coordinate plane and in any of the 4 quadrants ,then option 1 will be insufficient to state about slope of A (=ve or -ve)?


Top
 Profile  
 
 Post subject: Re: GMAT Coordinate Geometry (Data Sufficiency)
PostPosted: Mon Mar 12, 2012 1:13 pm 
Offline

Joined: Sun May 30, 2010 2:23 am
Posts: 498
Quote:
In the question it is mentioned that line A passes through (r, s) in the coordinate plane. In option 1 it is clearly stated that line A passes through (0, 0). So, the slope becomes (s – 0)/(r – 0) = s/r.
That is correct.

Quote:
When it is mentioned that in the coordinate plane there is a point (r, s) so it can be fathomed that r is in +ve X quadrant and s is also in +ve Y quadrant.
No. We can not assume that. It is not stated that r and s are positive numbers.
Furthermore, nothing specific is stated about (r, s), except that it is a point on the coordinate plane. Therefore (r, s) can be anywhere on the coordinate plane.


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 2 posts ] 

All times are UTC - 5 hours [ DST ]


Who is online

Users browsing this forum: No registered users and 1 guest


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
cron
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group