Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 28 Jul 2015, 23:15

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?

Author Message
TAGS:
Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 3

Kudos [?]: 890 [0], given: 0

If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? [#permalink]  12 Dec 2012, 07:32
00:00

Difficulty:

5% (low)

Question Stats:

91% (01:29) correct 9% (00:54) wrong based on 358 sessions
If s > 0 and $$\sqrt{\frac{r}{s}}=s$$, what is r in terms of s ?

(A) 1/s
(B) $$\sqrt{s}$$
(C) $$s\sqrt{s}$$
(D) s^3
(E) s^2-s
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 28731
Followers: 4577

Kudos [?]: 47204 [1] , given: 7108

Re: If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? [#permalink]  12 Dec 2012, 07:33
1
KUDOS
Expert's post
If s > 0 and $$\sqrt{\frac{r}{s}}=s$$, what is r in terms of s ?

(A) 1/s
(B) $$\sqrt{s}$$
(C) $$s\sqrt{s}$$
(D) s^3
(E) s^2-s

$$\sqrt{\frac{r}{s}}=s$$ --> $$\frac{r}{s}=s^2$$ --> $$r=s^3$$.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 5675
Followers: 321

Kudos [?]: 61 [0], given: 0

Re: If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? [#permalink]  24 Jan 2015, 16:59
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.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 3018
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 131

Kudos [?]: 836 [0], given: 53

Re: If s > 0 and (r/s)^1/2=s, what what is r in terms of s ? [#permalink]  24 Jan 2015, 18:05
Expert's post
Hi All,

This question can be solved by TESTing VALUES. The key is to keep the values relatively small and think about how the square root sign impacts the math:

We're told that S > 0 and (r/s)^1/2=s

We're asked for the value of R.

IF....
R = 8
S = 2
\sqrt{4} = 2

So we're looking for an answer that = 8 when S = 2....

Answer A: 1/2 NOT a match
Answer B: \sqrt{2} NOT a match
Answer C: 2\sqrt{2} NOT a match
Answer D: 2^3 = 8 This IS a MATCH
Answer E: 2^2 - 2 = 2 NOT a match

[Reveal] Spoiler:
D

GMAT assassins aren't born, they're made,
Rich
_________________

Re: If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?   [#permalink] 24 Jan 2015, 18:05
Similar topics Replies Last post
Similar
Topics:
4 If x > 0, what is the least possible value for x + 1/x ? 4 20 Oct 2014, 06:09
12 What is the largest integer n such that 1/2^n > 0 ? 10 10 Feb 2014, 23:45
2 If p/3 = r/2 and r = 0.75s, what is the ratio of p to r to s 3 07 Jul 2013, 20:59
4 What is the largest integer n such that 1/2^n > 0.001? 12 04 Jul 2010, 17:52
3 If m > 0 and x is m percent of y, then, in terms of m, y is what perce 5 22 Jul 2007, 15:01
Display posts from previous: Sort by