It is currently 18 Dec 2017, 10:48

# Final Week of R1 Decisions:

CHAT Rooms | MIT Sloan | McCombs

### 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

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

Author Message
TAGS:

### Hide Tags

Retired Moderator
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1626

Kudos [?]: 1142 [0], given: 109

Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Set S has a range of p and the largest number in set S is v [#permalink]

### Show Tags

09 Apr 2012, 12:13
1
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

52% (02:21) correct 48% (02:24) wrong based on 60 sessions

### HideShow timer Statistics

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: http://gmatclub.com/forum/my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 1142 [0], given: 109

TOEFL Forum Moderator
Joined: 16 Nov 2010
Posts: 1589

Kudos [?]: 608 [0], given: 40

Location: United States (IN)
Concentration: Strategy, Technology
Re: Set S has a range of p and the largest number in set S is v [#permalink]

### Show Tags

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
_________________

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

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 608 [0], given: 40

Retired Moderator
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1626

Kudos [?]: 1142 [0], given: 109

Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Re: Set S has a range of p and the largest number in set S is v [#permalink]

### Show Tags

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: http://gmatclub.com/forum/my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 1142 [0], given: 109

Current Student
Joined: 06 Sep 2013
Posts: 1965

Kudos [?]: 759 [0], given: 355

Concentration: Finance
Re: Set S has a range of p and the largest number in set S is v [#permalink]

### Show Tags

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

Kudos [?]: 759 [0], given: 355

Director
Joined: 23 Jan 2013
Posts: 602

Kudos [?]: 32 [0], given: 41

Schools: Cambridge'16
Re: Set S has a range of p and the largest number in set S is v [#permalink]

### Show Tags

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

My algebraic solution was not good

Kudos [?]: 32 [0], given: 41

Re: Set S has a range of p and the largest number in set S is v   [#permalink] 20 Apr 2014, 21:21
Display posts from previous: Sort by