If r/s = 2/5 , what is the value of rs ? : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 Feb 2017, 09:07

### 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 r/s = 2/5 , what is the value of rs ?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 28 Jun 2009
Posts: 454
Location: United States (MA)
Followers: 18

Kudos [?]: 168 [0], given: 46

If r/s = 2/5 , what is the value of rs ? [#permalink]

### Show Tags

30 May 2012, 16:27
00:00

Difficulty:

15% (low)

Question Stats:

92% (01:49) correct 8% (00:24) wrong based on 39 sessions

### HideShow timer Statistics

If r/s = 2/5 , what is the value of rs ?

(1) If 2s/5 is multiplied by 12, the result is 25.
(2) If 5r/2 is multiplied by 4, the result is 250.

Though it looks like standard D (two unknowns, two equations : one equation in question stem and one equation from each answer choices) I'm getting two different values of r and 2 from two statements.

So in such cases, the answer should be E. What do you guys think?
Or am I making another silly calculation mistake?

Source : Jeff Sachmann DS challenge
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 37113
Followers: 7254

Kudos [?]: 96610 [0], given: 10770

Re: If r/s = 2/5 , what is the value of rs ? [#permalink]

### Show Tags

31 May 2012, 01:40
If r/s = 2/5 , what is the value of rs ?

(1) If 2s/5 is multiplied by 12, the result is 25. We have that 2s/5*12=25 and r/s=2/5 --> we can solve for r and s and thus get the value of rs. Sufficient. Notice that from this statement r=25/12 and s=125/24.

(2) If 5r/2 is multiplied by 4, the result is 250. We have that 5r/2*4=250 and r/s=2/5 --> we can solve for r and s and thus get the value of rs. Sufficient. Notice that from this statement r=25 and s=125/2.

Now, technically answer should be D, as EACH statement ALONE is sufficient to answer the question.

But even though formal answer to the question is D (EACH statement ALONE is sufficient), this is not a realistic GMAT question, as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.

So, the question is flawed. You won't see such a question on the GMAT.

Hope it's clear.
_________________
Senior Manager
Joined: 28 Jun 2009
Posts: 454
Location: United States (MA)
Followers: 18

Kudos [?]: 168 [0], given: 46

Re: If r/s = 2/5 , what is the value of rs ? [#permalink]

### Show Tags

31 May 2012, 05:25
Thanks Bunuel! Its perfectly clear now.
Intern
Joined: 29 Mar 2012
Posts: 8
Followers: 0

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

Re: If r/s = 2/5 , what is the value of rs ? [#permalink]

### Show Tags

31 May 2012, 09:52
interesting

Thanks Piya and Bunuel. This was informative and helpful
Intern
Joined: 07 Jan 2011
Posts: 25
Followers: 1

Kudos [?]: 3 [0], given: 1

Re: If r/s = 2/5 , what is the value of rs ? [#permalink]

### Show Tags

05 Jun 2012, 03:56
Yes very good information. Thanks Bunuel
Re: If r/s = 2/5 , what is the value of rs ?   [#permalink] 05 Jun 2012, 03:56
Similar topics Replies Last post
Similar
Topics:
What is the value of r^2 - 2rs + s^2? 2 02 Oct 2016, 09:37
16 Is r*s a multiple of 25? (r and s are positive integers) 7 13 Jan 2016, 22:34
1 If r and s are positive integers, is rs a multiple of 25? 3 13 Jan 2016, 18:13
36 What is the probability that rs=r? 16 12 Jun 2013, 13:29
12 If rs 0, does 1/r + 1/s = 1 (1) rs = 1 (2) s + r = 2.5 Did 7 12 Dec 2010, 08:05
Display posts from previous: Sort by