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

It is currently 06 May 2015, 11:47

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Set S has a range of p and the largest number in set S is v

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1725
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 75

Kudos [?]: 439 [0], given: 109

Set S has a range of p and the largest number in set S is v [#permalink] New post 09 Apr 2012, 12:13
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

49% (03:30) correct 51% (01:56) wrong based on 43 sessions
Set S has a range of p and the largest number in set S is v. Set T has a range of q and the largest number in set T and the largest number in set T is w. Is the smallest number in set S
greater than the smallest number in set T?

(1) p < q
(2) The median of set S is less than the median of set T, and the average (arithmetic mean) of set S is greater than the mean of set T.

Source: http://www.gmathacks.com
[Reveal] Spoiler: OA

_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings

Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesGMAT Pill GMAT Discount Codes
SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1684
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 342 [0], given: 36

Premium Member Reviews Badge
Re: Set S has a range of p and the largest number in set S is v [#permalink] New post 09 Apr 2012, 20:01
Smallest number in set S = v - p
Smallest number in set T = w - q
So we have to find whether v - p > w - q

(1) p < q
But we have no information about v and w, thus (1) is not sufficient


(2) The median of set S is less than the median of set T, and the average (arithmetic mean) of set S is greater than the mean of set T.

S = {-1,2,7} , T = {-3,3,5}
S = {-1,0,4}, T = {-3,1,3}
S = {0,1,5}, T = {0,2,3}
Not Sufficient

Combining (1) and (2), there can be cases where
S = {-1,0,4}, T = {-3,1,3}
S = {-2,0,5} T = {-2,-2,6},
Not Sufficient
Answer - E
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Retired Moderator
User avatar
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1725
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 75

Kudos [?]: 439 [0], given: 109

Re: Set S has a range of p and the largest number in set S is v [#permalink] New post 11 Apr 2012, 12:05
Is there a more conceptual or algebraical solution rather than picking numbers?
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings

SVP
SVP
User avatar
Joined: 06 Sep 2013
Posts: 2042
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 24

Kudos [?]: 295 [0], given: 354

GMAT ToolKit User
Re: Set S has a range of p and the largest number in set S is v [#permalink] New post 19 Apr 2014, 17:31
Bumping for further discussion

Would like to know if there's a better approach than drawing the number lines. Specially for mean / sum of both sets since these can't be easily graphed on number line to provide useful insight

Thanks a lot guys!
Cheers!
J :)
Senior Manager
Senior Manager
User avatar
Joined: 23 Jan 2013
Posts: 287
Schools: Cambridge'16
Followers: 2

Kudos [?]: 43 [0], given: 31

Re: Set S has a range of p and the largest number in set S is v [#permalink] New post 20 Apr 2014, 21:21
I did just logically:

S1. p<q. We just know that the difference between greatest and smalest numbers in sets S<T. No information about smallest ones. Insufficient

S2. Me of S<Me of T and M of S> M of T. Only conclude that they are not consecutive sets. No data about values of smallest numbers. Insufficient

S1+S2. We know S is just more "shrinked" than T, we know that some number of S placing in middle is less than that in T, and we know that sum of numbers in S divided by number of numbers is more than in T. No information

Answer E

My algebraic solution was not good
Re: Set S has a range of p and the largest number in set S is v   [#permalink] 20 Apr 2014, 21:21
    Similar topics Author Replies Last post
Similar
Topics:
12 Experts publish their posts in the topic The range of the numbers in set S is x, and the range of the Walkabout 5 14 Dec 2012, 02:47
3 The range of the numbers in set S is X, and the range of the ShamanthParamasibam 2 10 May 2012, 06:57
1 Experts publish their posts in the topic A set of numbers has an average of 50. If the largest devinawilliam83 3 12 Mar 2012, 21:38
range Set A has 20 numbers and B has 40 numbers. Is the vr4indian 1 03 Oct 2008, 09:34
Set A has 20 numbers and B has 40 numbers. Is the range of B vshaunak@gmail.com 3 12 Jun 2007, 01:06
Display posts from previous: Sort by

Set S has a range of p and the largest number in set S is v

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.