Last visit was: 24 Apr 2024, 03:10 It is currently 24 Apr 2024, 03:10

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
SORT BY:
Date
Tags:
Difficulty: Sub 505 Levelx   Geometryx            
Show Tags
Hide Tags
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5957
Own Kudos [?]: 13386 [17]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Most Helpful Reply
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29902 [7]
Given Kudos: 799
Location: Canada
Send PM
General Discussion
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5957
Own Kudos [?]: 13386 [1]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618692 [0]
Given Kudos: 81586
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
Expert Reply
GMATinsight wrote:
Bunuel bb

I couldn't find the tag of OG2021 for this question for DS post which I could find for PS post. Please help


No tag yet. Please edit the image it's not visible.
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Posts: 3137
Own Kudos [?]: 2769 [2]
Given Kudos: 1510
Location: India
GPA: 4
WE:Analyst (Internet and New Media)
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
1
Kudos
1
Bookmarks
Answer is supposedly C.
We require both statements to conclude answer.

Statement 1 is just telling about the triangle being an equilateral triangle. No cordinates or data given to determine point N. (not sufficient)

Statement 2 states Only cordinate of M. No data for N or P.(not sufficient)

Since MNP is an equilateral triangle. Distance between MO and PO will be equal which is 8 unit.
Area of triangle is 1/2*(base)*(height)=Area of equilateral triangle
1/2*MP*NO= √3/4*(side)^2
1/2*8*N0 = √3/4*(8)^2
NO=4√3
Since N is on y intercept.
X cordinate will be zero.
Y will be 4√3.

So IOC should be C

Posted from my mobile device
Intern
Intern
Joined: 07 Jul 2019
Posts: 19
Own Kudos [?]: 7 [0]
Given Kudos: 441
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
According to me there is something wrong in the question. It's not mentioned that "O" is passing through the origin so how can we be sure that point P has co-ordinates (4,0). What if it's co-ordinates are (2,0). Then the side=6 and not 8. And in the exam the figure is never drawn to scale basis. So we just can't rely on the image.

Experts please help Bunuel chetan2u VeritasKarishma ScottTargetTestPrep
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5957
Own Kudos [?]: 13386 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
Expert Reply
TaizKaran wrote:
According to me there is something wrong in the question. It's not mentioned that "O" is passing through the origin so how can we be sure that point P has co-ordinates (4,0). What if it's co-ordinates are (2,0). Then the side=6 and not 8. And in the exam the figure is never drawn to scale basis. So we just can't rely on the image.

Experts please help Bunuel chetan2u VeritasKarishma ScottTargetTestPrep


Hi TaizKaran

There is nothing wrong in the question. This is official question

Since X and Y axis are meeting at Point O so it automatically becomes Origin.
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11161
Own Kudos [?]: 31879 [1]
Given Kudos: 290
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
1
Kudos
Expert Reply
TaizKaran wrote:
According to me there is something wrong in the question. It's not mentioned that "O" is passing through the origin so how can we be sure that point P has co-ordinates (4,0). What if it's co-ordinates are (2,0). Then the side=6 and not 8. And in the exam the figure is never drawn to scale basis. So we just can't rely on the image.

Experts please help Bunuel chetan2u VeritasKarishma ScottTargetTestPrep



Yes, you are correct that figures in DS question are not drawn to scale.

But the two statements combine tells you that P has co-ordinates (4,0).

It is an equilateral triangle, so the altitude will be in the middle of PM, so O has to be the center of MP.
Tutor
Joined: 16 Oct 2010
Posts: 14816
Own Kudos [?]: 64889 [1]
Given Kudos: 426
Location: Pune, India
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
1
Kudos
Expert Reply
TaizKaran wrote:
According to me there is something wrong in the question. It's not mentioned that "O" is passing through the origin so how can we be sure that point P has co-ordinates (4,0). What if it's co-ordinates are (2,0). Then the side=6 and not 8. And in the exam the figure is never drawn to scale basis. So we just can't rely on the image.

Experts please help Bunuel chetan2u VeritasKarishma ScottTargetTestPrep


You are given that it is the xy coordinate plane. y and x axis are drawn intersecting at O. Then O is definitely (0, 0). No questions about it.
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18753
Own Kudos [?]: 22043 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
1
Kudos
Expert Reply
TaizKaran wrote:
According to me there is something wrong in the question. It's not mentioned that "O" is passing through the origin so how can we be sure that point P has co-ordinates (4,0). What if it's co-ordinates are (2,0). Then the side=6 and not 8. And in the exam the figure is never drawn to scale basis. So we just can't rely on the image.

Experts please help Bunuel chetan2u VeritasKarishma ScottTargetTestPrep


Solution:

You are right that we cannot rely on the figure for certain information since figures are not necessarily drawn to scale; however, that doesn't mean that there's nothing about the figure that you can rely on. The figure clearly labels the perpendicular lines as the x-axis and the y-axis and since O is the point of intersections of the axes, it must be the origin. Even if the figure is not drawn to scale, the question cannot claim that the two perpendicular lines were just some arbitrary lines labeled "x" and "y"; those lines must be the x- and y-axes, respectively.

Some of the things you can assume of a figure are as follows: If a line is drawn as straight, then it is indeed straight (so that there are no hidden bends or curves). If a point is drawn on a line or a line segment, then that point is indeed on that line or line segment (so that the question cannot claim points M and P were "slightly above" the x-axis). If two lines or points are drawn as distinct, then they are indeed distinct (so that the question cannot claim points M and O were actually the same point). With these assumptions as well as the two statements, the answer is clearly C.
Manager
Manager
Joined: 24 Jan 2013
Posts: 113
Own Kudos [?]: 103 [0]
Given Kudos: 54
Location: India
GMAT 1: 720 Q50 V37
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
chetan2u
VeritasKarishma

Wont we have to take Negative value of N... i.e. below x-axis....
Arent 2 equilateral triangles possible....?
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11161
Own Kudos [?]: 31879 [0]
Given Kudos: 290
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
Expert Reply
zs2 wrote:
chetan2u
VeritasKarishma

Wont we have to take Negative value of N... i.e. below x-axis....
Arent 2 equilateral triangles possible....?



No, we will not take the negative value of N, as it is shown on the positive side of x axis, and other 2 points are shown on x-axis.
had it been not given on sketch and it was given that 2 points are equidistant from the origin and lie on x-axis, then there would be possibility of N having negative x-coord.
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4946
Own Kudos [?]: 7625 [1]
Given Kudos: 215
Location: India
Send PM
In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
1
Kudos
Top Contributor
Solution:

A new og 2021 question

St(1):- There is no information about coordinates of M,P. (Insufficient)

St(2):- We can shift the point N to any point on the Y axis with M remaining constant at (-4,0).

This would provide us with no unique value of N. (Insufficient)

Combining both we have

P has coordinates (4,0) as the perpendicular in an equilateral triangle(as given in St(1) bisects the base.

Given M is (-4,0) in St(2) =>P is (4,0).

Thus MP =4+4 = 8 units of length.

=> MN =8 units (equilateral triangle)

=>MO=4 units and hence ON can be computed ( Using Pythagorean theorem)

=> 1/2*8*N0 = √3/4*(8)^2

Since N is on y intercept, X coordinate will be 0 and hence N =(0, 4√3) (Sufficient) option (c)

Hope this helps :thumbsup:
Devmitra Sen (GMAT Expert in Quant)
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 32644
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
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: In the xy-coordinate plane above, what are the coordinates of point N [#permalink]
Moderator:
Math Expert
92901 posts

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