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

It is currently 18 Oct 2018, 21:49

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

If r, s, and t are all positive, what is the ratio of r to s to t?

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

Hide Tags

Intern
Intern
avatar
B
Joined: 16 Oct 2017
Posts: 38
If r, s, and t are all positive, what is the ratio of r to s to t?  [#permalink]

Show Tags

New post Updated on: 27 Mar 2018, 11:32
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

82% (01:53) correct 18% (01:11) wrong based on 33 sessions

HideShow timer Statistics

If r, s, and t are all positive, what is the ratio of r to s to t?
(1) r – s = 2s and (t – 2s)^2 = 0
(2) r = 6 and t = 8s^-1

I don't understand how to manipulate statement #2 to make it not sufficient...

Please help!

Originally posted by OCDianaOC on 27 Mar 2018, 11:23.
Last edited by OCDianaOC on 27 Mar 2018, 11:32, edited 2 times in total.
PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
Re: If r, s, and t are all positive, what is the ratio of r to s to t?  [#permalink]

Show Tags

New post 27 Mar 2018, 11:28
OCDianaOC wrote:
If r, s, and t are all positive, what is the ratio of r to s to t?
(1) r – s = 2s and (t – 2s)2 = 0
(2) r = 6 and t = 8s-1

I don't understand how to manipulate statement #2 to make it not sufficient...

Please help!


Statement 1: \(r-s=2s=>r=3s => \frac{r}{s}=\frac{3}{1} =>r:s=3:1\)

\((t-2s)2=0=>t=2s=>\frac{s}{t}=\frac{1}{2}=>s:t=1:2\)

Therefore \(r:s:t=3:1:2\). Sufficient

Statement 2: from this we cannot find the values of variable \(t\) & \(s\) and hence we cannot calculate the ratio of \(r:s:t\). Insufficient

Option A
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: If r, s, and t are all positive, what is the ratio of r to s to t?  [#permalink]

Show Tags

New post 27 Mar 2018, 22:31
OCDianaOC wrote:
If r, s, and t are all positive, what is the ratio of r to s to t?
(1) r – s = 2s and (t – 2s)^2 = 0
(2) r = 6 and t = 8s^-1

I don't understand how to manipulate statement #2 to make it not sufficient...

Please help!


Please refer to the solution above by Niks to understand how statement A is sufficient.
I presume you already knew that, but your concern is about second statement.

Well, in second statement, we get r=6. And t = 8/s which gives us s*t = 8
So we have value of r, and we just have the product of s & t. This will certainly not be sufficient to get r:s:t. Even if the statement had given us the ratio of s & t (s/t) instead of their product, still we wouldnt have been able to get the desired answer, because we are not given the relation of r to any of s or t. Hence this statement is not sufficient.
Intern
Intern
avatar
B
Joined: 16 Oct 2017
Posts: 38
Re: If r, s, and t are all positive, what is the ratio of r to s to t?  [#permalink]

Show Tags

New post 28 Mar 2018, 11:40
amanvermagmat wrote:
OCDianaOC wrote:
If r, s, and t are all positive, what is the ratio of r to s to t?
(1) r – s = 2s and (t – 2s)^2 = 0
(2) r = 6 and t = 8s^-1

I don't understand how to manipulate statement #2 to make it not sufficient...

Please help!


Please refer to the solution above by Niks to understand how statement A is sufficient.
I presume you already knew that, but your concern is about second statement.

Well, in second statement, we get r=6. And t = 8/s which gives us s*t = 8
So we have value of r, and we just have the product of s & t. This will certainly not be sufficient to get r:s:t. Even if the statement had given us the ratio of s & t (s/t) instead of their product, still we wouldnt have been able to get the desired answer, because we are not given the relation of r to any of s or t. Hence this statement is not sufficient.


How do you manipute to get s*t = 8 though? When I move things around, I get t/s = 1/8...
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: If r, s, and t are all positive, what is the ratio of r to s to t?  [#permalink]

Show Tags

New post 28 Mar 2018, 22:05
1
OCDianaOC wrote:
amanvermagmat wrote:
OCDianaOC wrote:
If r, s, and t are all positive, what is the ratio of r to s to t?
(1) r – s = 2s and (t – 2s)^2 = 0
(2) r = 6 and t = 8s^-1

I don't understand how to manipulate statement #2 to make it not sufficient...

Please help!


Please refer to the solution above by Niks to understand how statement A is sufficient.
I presume you already knew that, but your concern is about second statement.

Well, in second statement, we get r=6. And t = 8/s which gives us s*t = 8
So we have value of r, and we just have the product of s & t. This will certainly not be sufficient to get r:s:t. Even if the statement had given us the ratio of s & t (s/t) instead of their product, still we wouldnt have been able to get the desired answer, because we are not given the relation of r to any of s or t. Hence this statement is not sufficient.


How do you manipute to get s*t = 8 though? When I move things around, I get t/s = 1/8...


Hello

We are given t = 8s^-1. It means t = 8 * s^-1 or t = 8 * 1/s
So if we take s to the other side (cross multiply), we get: t*s = 8
Senior Manager
Senior Manager
User avatar
G
Joined: 20 Sep 2016
Posts: 300
GMAT ToolKit User CAT Tests
Re: If r, s, and t are all positive, what is the ratio of r to s to t?  [#permalink]

Show Tags

New post 28 Mar 2018, 23:15
A.

Why not st. 2 - r=6 okay
t= 8/s >> t*s = 8. You need a ratio ie. t/s . Therefore not sufficient

Sent from my XT1562 using GMAT Club Forum mobile app
Intern
Intern
avatar
B
Joined: 16 Oct 2017
Posts: 38
If r, s, and t are all positive, what is the ratio of r to s to t?  [#permalink]

Show Tags

New post 29 Mar 2018, 11:49
amanvermagmat ,

Oh, I get it now... didn't realize that t = 8 *1/s! Thank you for the explanation!
GMAT Club Bot
If r, s, and t are all positive, what is the ratio of r to s to t? &nbs [#permalink] 29 Mar 2018, 11:49
Display posts from previous: Sort by

If r, s, and t are all positive, what is the ratio of r to s to t?

  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®.