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

 It is currently 14 Oct 2019, 08:57 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  In the rectangular coordinate system, are the points (p,q) and (r,s)

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

Hide Tags

Manager  Joined: 19 Oct 2011
Posts: 97
Location: India
In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

5
11 00:00

Difficulty:   5% (low)

Question Stats: 86% (01:07) correct 14% (01:17) wrong based on 279 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.....
GMAT Tutor G
Joined: 24 Jun 2008
Posts: 1810
Re: In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

1
dvinoth86 wrote:
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
Math Expert V
Joined: 02 Sep 2009
Posts: 58316
Re: In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

dvinoth86 wrote:
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.....

Similar questions to practice:
in-the-rectangular-coordinate-system-are-the-points-a-79105-20.html
in-the-rectangular-coordinate-system-are-the-points-r-s-92823.html
_________________
Manager  Joined: 23 Sep 2015
Posts: 81
Concentration: General Management, Finance
GMAT 1: 680 Q46 V38 GMAT 2: 690 Q47 V38 GPA: 3.5
Re: In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

1
My Answe:

We need information about all points to know if they are equidistant from (0,0)

A and B are eliminated due to not enough Info

The B) Trap is that we carry the info from A over.

C gives us |p| = |q| = |r| = |s|

When x<0 we have all values in Q1 and equal in distance
When x>0 we have all points in Q3 and equal in distance

Therefore C
Intern  Joined: 02 Aug 2015
Posts: 1
Concentration: International Business, Operations
Re: In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

Hi

Can someone please explain this?
CEO  S
Joined: 20 Mar 2014
Posts: 2603
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44 GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

1
1
crazydove29 wrote:
Hi

Can someone please explain this?

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).

C is the correct answer.

Hope this helps.
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8001
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

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.
_________________
Manager  B
Joined: 17 Jun 2015
Posts: 196
GMAT 1: 540 Q39 V26 GMAT 2: 680 Q46 V37 Re: In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

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
Non-Human User Joined: 09 Sep 2013
Posts: 13140
Re: In the rectangular coordinate system, are the points (p,q) and (r,s)  [#permalink]

Show Tags

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.
_________________ Re: In the rectangular coordinate system, are the points (p,q) and (r,s)   [#permalink] 24 Dec 2018, 20:55
Display posts from previous: Sort by

In the rectangular coordinate system, are the points (p,q) and (r,s)

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

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