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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

In the rectangular coordinate system, are the points (p,q) and (r,s) [#permalink]

Show Tags

27 Nov 2011, 17:54

2

This post received KUDOS

7

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

80% (01:49) correct
20% (00:47) wrong based on 221 sessions

HideShow timer Statistics

In the rectangular coordinate system, are the points (p,q) and (r,s) equidistant from the origin?

(1) |p| = |q|

(2) |q| = |r| = |s|

the answer that is given is option (C). But it is not possible to say that they r equidistanct from origin with statement 2 alone as it is a rectangular coordinate system.. points are symmetrical and equidistance abount the origin in a rectangle.....

Official Answer and Stats are available only to registered users. Register/Login.

_________________

Encourage me by pressing the KUDOS if you find my post to be helpful.

Help me win "The One Thing You Wish You Knew - GMAT Club Contest" http://gmatclub.com/forum/the-one-thing-you-wish-you-knew-gmat-club-contest-140358.html#p1130989

But it is not possible to say that they r equidistanct from origin with statement 2 alone as it is a rectangular coordinate system.. points are symmetrical and equidistance abount the origin in a rectangle.....

When they say 'rectangular coordinate system', they just mean that the x-axis and y-axis make a right angle between them. So they're just talking about the standard x-y coordinate plane. It doesn't mean that any two points are equidistant from the origin. Statement 2 here is not sufficient, since you need some information about p.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Re: In the rectangular coordinate system, are the points (p,q) and (r,s) [#permalink]

Show Tags

10 Aug 2015, 13:28

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.
_________________

In the rectangular coordinate system, are the points (p,q) and (r,s) equidistant from the origin?

(1) |p| = |q|

(2) |q| = |r| = |s|

the answer that is given is option (C). But it is not possible to say that they r equidistanct from origin with statement 2 alone as it is a rectangular coordinate system.. points are symmetrical and equidistance abount the origin in a rectangle.....

Per the question, is distance of (p,q) from (0,0) equal to the distance of (r,s) from (0,0).

Distance of (p,q) from (0,0) = \(\sqrt{p^2+q^2}\), similarly for (r,s) = \(\sqrt{r^2+s^2}\)

Per statement 1, |p|=|q|, no information about (r,s). Clearly not sufficient.

Per statement 2, |q|=|r|=|s| , you get different answers if you have (p,q) , (r,s) = (0,3), (3,3) , the answer is no. But with (p,q) , (r,s) = (3,3), (3,3), the answer is yes. Thus you get 2 different answers for the same statement. Not sufficient.

Combining the 2 statements, you get, |p|=|q|=|r|=|s| and clearly for all cases you will get \(\sqrt{p^2+q^2}\) = \(\sqrt{r^2+s^2}\) ---> distance of (p,q) from (0,0) = distance of (r,s) from (0,0).

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.

In the rectangular coordinate system, are the points (p,q) and (r,s) equidistant from the origin?

(1) |p| = |q|

(2) |q| = |r| = |s|

We obtain square root [(p-0)^2+(q-0)^2]=square root[(r-0)^2+(s-0)^2], p^2+q^2=r^2+s^2? if we modify the question and the original condition. There are 4 variables (p,q,r,s) but only 2 equations are given by the 2 conditions, so there is high chance (E) will become the answer. Looking at the conditions together, from p^2=q^2=r^2=s^2 p^2+q^2=r^2+s^2? --> 2p^2=2p^2, we can answer the question 'yes' and the conditions become sufficient. The answer therefore becomes (C).

For cases where we need 3 more equations, such as original conditions with “3 variables”, or “4 variables and 1 equation”, or “5 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 80% chance that E is the answer (especially about 90% of 2 by 2 questions where there are more than 3 variables), while C has 15% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since E is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, C or D.
_________________

Re: In the rectangular coordinate system, are the points (p,q) and (r,s) [#permalink]

Show Tags

17 Dec 2015, 10:25

Points that are equidistant are same in magnitude but vary in polarity. Any combination of the points (positive or negative) would be equidistant of they are all same in value. And the same goes with ordered pairs.
_________________

Fais de ta vie un rêve et d'un rêve une réalité

gmatclubot

Re: In the rectangular coordinate system, are the points (p,q) and (r,s)
[#permalink]
17 Dec 2015, 10:25

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...