|
Author |
Message |
|
TAGS:
|
|
|
Intern
Joined: 22 Dec 2009
Posts: 22
|
If r > 0 and s > 0, is r/s < s/r? [#permalink]
Show Tags
 17 Aug 2010, 09:02
1
This post received
KUDOS
10
This post was
BOOKMARKED
D
E
Question Stats:
78% (02:07) correct
22% (01:11) wrong based on 985 sessions
HideShow timer Statistics
If r > 0 and s > 0, is r/s < s/r? (1) r/(3s) = 1/4 (2) s = r + 4
Official Answer and Stats are available only to registered users. Register/ Login.
|
|
|
|
|
|
Math Expert
Joined: 02 Sep 2009
Posts: 39607
|
Re: GMAT - PAPER TEST QUESTION [#permalink]
Show Tags
17 Aug 2010, 09:21
3
This post received
KUDOS
Expert's post
6
This post was
BOOKMARKED
|
|
|
|
|
|
Manager
Joined: 06 Aug 2010
Posts: 220
Location: Boston
|
Re: GMAT - PAPER TEST QUESTION [#permalink]
Show Tags
01 Nov 2010, 08:44
7
This post received
KUDOS
1
This post was
BOOKMARKED
cmugeria wrote: If R > 0 and S > 0, Is r/s < s/r?
1) r/3s =1/4
2) s = r + 4 Since r and s are both positive, we can simplify the inequality to \(r^2 < s^2\), and by taking the square root of both sides, \(r < s\). (1) \(4r = 3s\) \(r = \frac{3}{4}s\) So r < s. Sufficient. (2) Since \(r = s - 4\), \(r < s\). Sufficient.
|
|
|
|
|
|
Intern
Joined: 09 Nov 2011
Posts: 7
|
Re: If R > 0 and S > 0, Is r/s < s/r? 1) r/3s =1/4 2) s [#permalink]
Show Tags
29 Nov 2011, 01:22
1. r/3s=1/4 so 3s = 4r , which is s>r - Sufficient
2. s=r+4 menas S>R - sufficient
Answer - D
|
|
|
|
|
|
Senior Manager
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 259
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
|
Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]
Show Tags
29 Jan 2013, 09:04
cmugeria wrote: If r > 0 and s > 0, is r/s < s/r?
(1) r/(3s) = 1/4
(2) s = r + 4 For 1 --- \(\frac{r}{s}\)= 3/4we can deduce from this From 2.... s = r+4 substituting this in the question--- \(\frac{r}{4+r}\)<\(\frac{4+r}{r}\)
_________________
I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+
|
|
|
|
|
|
Intern
Joined: 11 Jun 2013
Posts: 4
Location: United States
Concentration: Entrepreneurship, Technology
GMAT 1: 640 Q39 V38 GMAT 2: 660 Q44 V36
GPA: 3.5
WE: Military Officer (Military & Defense)
|
Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]
Show Tags
01 Sep 2013, 14:09
First I restated the problem since we are given r and s are greater than 0 --> therefore, the question can be solved by answering whether or not r^2<s^2.
(1) r = (3/4)s [r<s, so r^2 < s^2] Sufficient AD/BCE - elminate BCE
(3) s = r + 4 [r<s, so r^2 < s^2] Sufficent - elminate A ... answered D
|
|
|
|
|
|
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15926
|
Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]
Show Tags
01 Oct 2014, 05:30
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
|
|
|
|
|
|
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15926
|
Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]
Show Tags
14 Nov 2015, 04:55
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
|
|
|
|
|
|
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 3447
GPA: 3.82
|
Re: If r > 0 and s > 0, is r/s < s/r? [#permalink]
Show Tags
17 Nov 2015, 10:29
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. If r > 0 and s > 0, is r/s < s/r? (1) r/(3s) = 1/4 (2) s = r + 4 In inequalities, the sign does not change when a positive integer is multiplied on both sides. If we modify the question, r/x<s/r, or is r^2<s^2, of is r^2-s^2<0?, or (r-s)(r+s)<0? and r>0 and s>0, so we want to know whether r-s>0? For condition 1, in r/s=3/4, r and s are positive, so s>r, which answers the question 'yes' and is sufficient. For condition 2, s-r=4>0. s>r, so this also answers the question 'yes' and is sufficient. The answer becomes (D). Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
_________________
 MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo
|
|
|
|
|
|
Director
Joined: 04 Jun 2016
Posts: 650
|
If r > 0 and s > 0, is r/s < s/r? [#permalink]
Show Tags
18 Jul 2016, 05:51
cmugeria wrote: If r > 0 and s > 0, is r/s < s/r?
(1) r/(3s) = 1/4
(2) s = r + 4 If r > 0 and s > 0, \(is \frac{r}{s} < \frac{s}{r}?\) The question stem tells us that both r and s are positive. What a relief, we can now do any operations on r and s without worrying about the polarity of the variable. Lets rephrase the statement Is \(\frac{r}{s} < \frac{s}{r}\) THIS IS THE REAL QUESTION :- Is \(r^2 < s^2 ?\)(1)\(\frac{r}{(3s)} = \frac{1}{4}\) \(r=\frac{3}{4}*s\) Because r<s Therefore \(r^2 < s^2\) SUFFICIENT (2) s = r + 4 Its obvious that s is bigger and r is smaller \(r<s\) and \(r^2<s^2\) SUFFICIENT ANSWER IS D
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.
|
|
|
|
|
|
|
If r > 0 and s > 0, is r/s < s/r?
[#permalink]
18 Jul 2016, 05:51
|
|
|
|
|
|
|
|
|
|
|
|
|
7
