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

It is currently 23 May 2019, 00:11

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

On the number line, if r < s, if p is halfway between r and s, and if

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

Hide Tags

 
Senior Manager
Senior Manager
User avatar
B
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 498
On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post Updated on: 05 May 2019, 21:23
1
3
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (01:37) correct 14% (01:56) wrong based on 169 sessions

HideShow timer Statistics

On the number line, if r < s, if p is halfway between r and s, and if t is halfway between p and r, then (s – t)/(t – r) =

(A) 1/4
(B) 1/3
(C) 4/3
(D) 3
(E) 4

_________________

Originally posted by Baten80 on 17 Feb 2011, 08:54.
Last edited by Bunuel on 05 May 2019, 21:23, edited 2 times in total.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55236
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post 17 Feb 2011, 09:29
1
1
Baten80 wrote:
On the number line, if r<S, if p is the halfway between r and s, and if t is the halfway between p and r, then s-t/t-r=

What i will the s-t either s minus t or s to t. please help.
1/4
1/3
4/3
3
4


PLEASE FORMAT THE QUESTIONS PROPERLY!

Also what do you mean by "What i will the s-t either s minus t or s to t"?

Original question is:

On the number line, if r<s, if p is halfway between r and s, and if t is halfway between p and r then (s-t)/(t-r)=
A. 1/4
B. 1/3
C. 4/3
D. 3
E. 4

Let r=0 and s=4 --> p is halfway between r and s: p=2;
t is halfway between p=2 and r=0: t=1;

(s-t)/(t-r)=(4-1)/(1-0)=3.

Answer: D.

P.S. On the GMAT we can often see such statement: \(k\) is halfway between \(m\) and \(n\) on the number line. Remember this statement can ALWAYS be expressed algebraically as: \(\frac{m+n}{2}=k\).
_________________
Senior Manager
Senior Manager
User avatar
B
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 498
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post 17 Feb 2011, 10:01
What i will READ the s-t either s minus t or s to t. please help.
_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55236
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post 17 Feb 2011, 10:05
Current Student
User avatar
P
Joined: 18 Aug 2016
Posts: 618
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Reviews Badge
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post 14 Jul 2017, 01:10
Bunuel wrote:
On the number line, if r < s, if p is halfway between r and s, and if t is halfway between p and r, then (s – t)/(t – r) =

(A) 1/4
(B) 1/3
(C) 4/3
(D) 3
(E) 4


We can solve it using integers..i would like to take negative integers first

r.......t.......p.................s.......0
-5....-4......-3................-1

on solving (-1+4)/(-4+5) = 3

Just to check with positive integers

0.......r.......t.......p.................s
0.......2......3........4................6

on solving (6-3)/(3-2) = 3

Hence D
_________________
We must try to achieve the best within us


Thanks
Luckisnoexcuse
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2755
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post 14 Jul 2017, 03:45
Bunuel wrote:
On the number line, if r < s, if p is halfway between r and s, and if t is halfway between p and r, then (s – t)/(t – r) =

(A) 1/4
(B) 1/3
(C) 4/3
(D) 3
(E) 4


Find endpoints.

Sketch r < s. From info and logic, neither p nor t can be an endpoint; both are midpoints.

r < s, p is halfway between:

R_____________P_____________S
|------------------|------------------|

t is halfway between p and r:

R______T______P____________S
|----x---|----x---|------2x------|

Track on distance as above. Then use smallest length to define. Let RT = x. Then TP = x, and PS = 2x.

Assign integer value to x; 1 is easy. Assign cardinal values in keeping with the ratios.

Let r = 1. Then t = 2, p = 3, and s, which is 2x = (2)(1) away from p, = 5.

A. (s - t) => (5 - 2) = 3
B. (t - r) => (2 - 1) = 1

\(\frac{A}{B}\) = \(\frac{3}{1}\) = 3

I tested it with x=2 as well, and started with r = 3. The ratio holds.

Answer D
_________________
Listen, are you breathing just a little, and calling it a life?
-- Mary Oliver

For practice SC questions go to SC Butler, here.


Please DO NOT write short answers in your verbal posts! Such answers will be deleted.
VP
VP
User avatar
D
Joined: 09 Mar 2016
Posts: 1284
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post 18 Mar 2018, 03:01
Bunuel wrote:
Baten80 wrote:
On the number line, if r<S, if p is the halfway between r and s, and if t is the halfway between p and r, then s-t/t-r=

What i will the s-t either s minus t or s to t. please help.
1/4
1/3
4/3
3
4


PLEASE FORMAT THE QUESTIONS PROPERLY!

Also what do you mean by "What i will the s-t either s minus t or s to t"?

Original question is:

On the number line, if r<s, if p is halfway between r and s, and if t is halfway between p and r then (s-t)/(t-r)=
A. 1/4
B. 1/3
C. 4/3
D. 3
E. 4

Let r=0 and s=4 --> p is halfway between r and s: p=2;
t is halfway between p=2 and r=0: t=1;

(s-t)/(t-r)=(4-1)/(1-0)=3.

Answer: D.

P.S. On the GMAT we can often see such statement: \(k\) is halfway between \(m\) and \(n\) on the number line. Remember this statement can ALWAYS be expressed algebraically as: \(\frac{m+n}{2}=k\).



niks18 hi there :)

i took following numbers R=2, S=5, T=3, P =4 whats wrong with my reasoning ? :? im free to choose any numbers as long as p is the halfway between r and s, and if t is the halfway between p and r. No ? :? :)

thanks & have a great weekend :)
Retired Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1214
Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post 18 Mar 2018, 03:50
1
dave13 wrote:
Bunuel wrote:
Baten80 wrote:
On the number line, if r<S, if p is the halfway between r and s, and if t is the halfway between p and r, then s-t/t-r=

What i will the s-t either s minus t or s to t. please help.
1/4
1/3
4/3
3
4


PLEASE FORMAT THE QUESTIONS PROPERLY!

Also what do you mean by "What i will the s-t either s minus t or s to t"?

Original question is:

On the number line, if r<s, if p is halfway between r and s, and if t is halfway between p and r then (s-t)/(t-r)=
A. 1/4
B. 1/3
C. 4/3
D. 3
E. 4

Let r=0 and s=4 --> p is halfway between r and s: p=2;
t is halfway between p=2 and r=0: t=1;

(s-t)/(t-r)=(4-1)/(1-0)=3.

Answer: D.

P.S. On the GMAT we can often see such statement: \(k\) is halfway between \(m\) and \(n\) on the number line. Remember this statement can ALWAYS be expressed algebraically as: \(\frac{m+n}{2}=k\).



niks18 hi there :)

i took following numbers R=2, S=5, T=3, P =4 whats wrong with my reasoning ? :? im free to choose any numbers as long as p is the halfway between r and s, and if t is the halfway between p and r. No ? :? :)

thanks & have a great weekend :)


Hi dave13

Before I answer your question, what according to you is "halfway"? how do you define "halfway" and as per that definition what will be the "halfway" of 2 & 5
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3631
Reviews Badge
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

Show Tags

New post 18 Mar 2018, 04:59
1
dave13 wrote:
i took following numbers R=2, S=5, T=3, P =4 whats wrong with my reasoning ? :? im free to choose any numbers as long as p is the halfway between r and s, and if t is the halfway between p and r. No ? :? :)

thanks & have a great weekend :)


Hey dave13 ,

Halfway means middle of the two numbers.

So, If the distance between you and I is 1000 Kms, then the halfway between us will be 500 Kms away from both of us.

Does that make sense?
_________________
My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.
GMAT Club Bot
Re: On the number line, if r < s, if p is halfway between r and s, and if   [#permalink] 18 Mar 2018, 04:59
Display posts from previous: Sort by

On the number line, if r < s, if p is halfway between r and s, and if

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.