NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 13:06 It is currently 23 Apr 2024, 13:06
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Points P, R, M and S lie on the number line shown. The coor

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
DelSingh
Manager
Manager
Joined: 25 Jul 2012
Posts: 55
Own Kudos [?]: 492 [52]
Given Kudos: 137
Location: United States
Send PM
Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   26 Feb 2013, 08:31
6
Kudos
46
Bookmarks
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

65% (02:06) correct 35% (02:20) wrong based on 1047 sessions
Hide Show timer Statistics
Attachment:
File comment: Number Line
Screen Shot 2013-02-26 at 10.19.44 AM.png
Screen Shot 2013-02-26 at 10.19.44 AM.png [ 9.39 KiB | Viewed 27991 times ]
Points P, R, M and S lie on the number line shown. The coordinate of R is 0. The distance between P and R is 1/3 the distance between P and S. If M is the midpoint of line segment PS, what is the coordinate of P?

(1) The coordinate of M is 1.5
(2) The coordinate of S is 6

From the GMAT Question pack 1
Rated: Hard
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618580 [25]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   26 Feb 2013, 08:51
9
Kudos
16
Bookmarks
Expert Reply

Points P, R, M and S lie on the number line shown. The coordinate of R is 0. The distance between P and R is 1/3 the distance between P and S. If M is the midpoint of line segment PS, what is the coordinate of P?

The distance between P and R is 1/3 the distance between P and S --> -P=1/3*(S-P) (the distance between P and R=0 is -P and the distance between P and S is S-P) --> S=-2P.
M is the midpoint of line segment PS --> M=(S+P)/2.

(1) The coordinate of M is 1.5 --> 1.5=(S+P)/2. We have 2 distinct linear equations (1.5=(S+P)/2 and S=-2P) with 2 unknowns, thus we can solve for both of them. Sufficient.

(2) The coordinate of S is 6 --> 6=-2P --> P=-3. Sufficient.

Answer: D.

Hope it's clear.
General Discussion
User avatar
DelSingh
Manager
Manager
Joined: 25 Jul 2012
Posts: 55
Own Kudos [?]: 492 [1]
Given Kudos: 137
Location: United States
Send PM
Re: Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   26 Feb 2013, 09:13
1
Kudos
Bunuel wrote:

Points P, R, M and S lie on the number line shown. The coordinate of R is 0. The distance between P and R is 1/3 the distance between P and S. If M is the midpoint of line segment PS, what is the coordinate of P?

The distance between P and R is 1/3 the distance between P and S --> -P=1/3*(S-P) (the distance between P and R=0 is -P and the distance between P and S is S-P) --> S=-2P.
M is the midpoint of line segment PS --> M=(S+P)/2.



Thanks!

Question tho, are you getting -P (because it's to the left of 0) by subtracting -P-R ---> -P-(0) = -P ?

Then isn't the distance between S and P ---> S-(-P) = S+P?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618580 [2]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   26 Feb 2013, 10:01
1
Kudos
1
Bookmarks
Expert Reply
DelSingh wrote:
Bunuel wrote:

Points P, R, M and S lie on the number line shown. The coordinate of R is 0. The distance between P and R is 1/3 the distance between P and S. If M is the midpoint of line segment PS, what is the coordinate of P?

The distance between P and R is 1/3 the distance between P and S --> -P=1/3*(S-P) (the distance between P and R=0 is -P and the distance between P and S is S-P) --> S=-2P.
M is the midpoint of line segment PS --> M=(S+P)/2.



Thanks!

Question tho, are you getting -P (because it's to the left of 0) by subtracting -P-R ---> -P-(0) = -P ?

Then isn't the distance between S and P ---> S-(-P) = S+P?


Use numbers to test.

What is the distance between -3 and 0? It's 3.
What is the distance between -3 and 6? It's 6-(-3)=9.
User avatar
sagnik242
Manager
Manager
Joined: 28 Dec 2013
Posts: 50
Own Kudos [?]: 14 [0]
Given Kudos: 3
Send PM
Re: Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   26 Dec 2015, 17:18
Bunuel wrote:

Points P, R, M and S lie on the number line shown. The coordinate of R is 0. The distance between P and R is 1/3 the distance between P and S. If M is the midpoint of line segment PS, what is the coordinate of P?

The distance between P and R is 1/3 the distance between P and S --> -P=1/3*(S-P) (the distance between P and R=0 is -P and the distance between P and S is S-P) --> S=-2P.
M is the midpoint of line segment PS --> M=(S+P)/2.

(1) The coordinate of M is 1.5 --> 1.5=(S+P)/2. We have 2 distinct linear equations (1.5=(S+P)/2 and S=-2P) with 2 unknowns, thus we can solve for both of them. Sufficient.

(2) The coordinate of S is 6 --> 6=-2P --> P=-3. Sufficient.

Answer: D.

Hope it's clear.


Can you please outline step by step how to get S = -2P exactly? Thanks
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618580 [2]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   27 Dec 2015, 04:42
1
Kudos
1
Bookmarks
Expert Reply
sagnik242 wrote:
Bunuel wrote:

Points P, R, M and S lie on the number line shown. The coordinate of R is 0. The distance between P and R is 1/3 the distance between P and S. If M is the midpoint of line segment PS, what is the coordinate of P?

The distance between P and R is 1/3 the distance between P and S --> -P=1/3*(S-P) (the distance between P and R=0 is -P and the distance between P and S is S-P) --> S=-2P.
M is the midpoint of line segment PS --> M=(S+P)/2.

(1) The coordinate of M is 1.5 --> 1.5=(S+P)/2. We have 2 distinct linear equations (1.5=(S+P)/2 and S=-2P) with 2 unknowns, thus we can solve for both of them. Sufficient.

(2) The coordinate of S is 6 --> 6=-2P --> P=-3. Sufficient.

Answer: D.

Hope it's clear.


Can you please outline step by step how to get S = -2P exactly? Thanks


\(-P = \frac{1}{3}*(S - P)\)

\(-3P = S - P\)

\(-3P + P = S\)

\(S = -2P\)
User avatar
B
Icecream87
Senior Manager
Senior Manager
Joined: 23 Sep 2015
Posts: 333
Own Kudos [?]: 325 [3]
Given Kudos: 72
Location: France
Schools: Insead Sept '17 (M$)
GMAT 1: 690 Q47 V38
GMAT 2: 700 Q48 V38
WE:Real Estate (Mutual Funds and Brokerage)
Send PM
Reviews Badge
Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   26 Jan 2016, 08:56
2
Kudos
1
Bookmarks
I do it this way:
First equation:
\(R - P = \frac{1}{3} (S - P)\)

\(3R = S + 2P\)

since R is zero
\(S = -2p\)

Second equation:
\(\frac{S + P}{2} = M\)

\(S + P = 2M\) replace P or S in the equation

replacing P
\(S-\frac{S}{2} = 2M\)

\(S= 4M\)

or replacing S
\(-2P + P = 2M\)

\(-P = 2M\)
avatar
S
RR88
Manager
Manager
Joined: 18 Oct 2016
Posts: 112
Own Kudos [?]: 141 [2]
Given Kudos: 91
Location: India
WE:Engineering (Energy and Utilities)
Send PM
Re: Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   05 Mar 2017, 10:30
2
Kudos
Option D

Let's assume PS = X
PM = MS = X/2
PR = X/3; RM = PM - PR = X/6

I) M = 1.5 (lies on X-axis)

Hence, RM = 1.5 = X/6
X = 9.
PR = X/3 = 9/3 = 3
R coordinates : 0,0
P coordinates : -3,0
Sufficient

II) S = 6
Therefore, RS = 6 = RM + MS = X/3 + X/2 = 2X/3
X = PS = 9
S : 6,0
Hence, P: -3,0

Sufficient




Sent from my MotoG3-TE using GMAT Club Forum mobile app
User avatar
G
Basshead
Director
Director
Joined: 09 Jan 2020
Posts: 967
Own Kudos [?]: 223 [0]
Given Kudos: 434
Location: United States
Send PM
Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   24 Nov 2020, 15:09
DelSingh wrote:
Attachment:
Screen Shot 2013-02-26 at 10.19.44 AM.png
Points P, R, M and S lie on the number line shown. The coordinate of R is 0. The distance between P and R is 1/3 the distance between P and S. If M is the midpoint of line segment PS, what is the coordinate of P?

(1) The coordinate of M is 1.5
(2) The coordinate of S is 6

From the GMAT Question pack 1
Rated: Hard


\(P = \frac{1}{3}(S+P)\) --------- P is 1/3 the distance between S and P

\(3P = S + P \)

\(2P = S\) ---------- twice the distance of P is S

\(P = \frac{1}{2}S\)

If we can determine the value of S, we can determine the coordinate of P.

(1) \(M = 1.5\)

\(M = \frac{-p + s}{2 }\)-------- M is the midway point between p and s. p is negative because its to the left of R, which is 0.

\(2M = -p + s\)

\(3 = \frac{-1}{2}s + s\)

\(3 = \frac{1}{2}s \)

\(6 = S\)

\(-3 = P\); SUFFICIENT.

(2) \(S = 6\)

\(-3 = P\); SUFFICIENT.

Answer is D.
User avatar
G
genericUser
Manager
Manager
Joined: 31 Jan 2022
Posts: 115
Own Kudos [?]: 70 [0]
Given Kudos: 35
Location: Italy
Schools: SDA Bocconi "24 (M)
GMAT 1: 670 Q49 V33
GMAT 2: 690 Q47 V37
GPA: 3.9
Send PM
Re: Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   05 Mar 2022, 09:07
IMO can be solved without any computation
From the quetion stem we know that all the point are "anchored" by a factor.
Fixing one point the others will follow.
Both 1) and 2) allow us to do so, so answer D

Regards
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32626
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Points P, R, M and S lie on the number line shown. The coor [#permalink] New post   11 Apr 2023, 21:00
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
gmatclubot
Re: Points P, R, M and S lie on the number line shown. The coor [#permalink]
11 Apr 2023, 21:00
Moderator:
Bunuel
Math Expert
92882 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions