Some of the people in Town X are left-handed, some are tall : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 23:02

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

Some of the people in Town X are left-handed, some are tall

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Intern
Joined: 17 Nov 2009
Posts: 37
Schools: University of Toronto, Mcgill, Queens
Followers: 0

Kudos [?]: 96 [0], given: 9

Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

05 Dec 2009, 09:27
15
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

61% (03:58) correct 39% (03:09) wrong based on 218 sessions

HideShow timer Statistics

Some of the people in Town X are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town X, three times as many people are tall as are tall in Town X, three times as many people are both as are both in Town X, but no one is neither. If the total number of people in Town X is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town X who are neither left-handed nor tall?

(A) 23
(B) 39
(C) 72
(D) 143
(E) 199
[Reveal] Spoiler: OA

_________________

--Action is the foundational key to all success.

Intern
Joined: 17 Nov 2009
Posts: 37
Schools: University of Toronto, Mcgill, Queens
Followers: 0

Kudos [?]: 96 [2] , given: 9

Re: Overlapping Sets Problem [#permalink]

Show Tags

05 Dec 2009, 09:32
2
KUDOS
2
This post was
BOOKMARKED
Let A = Left Handed, B = Tall and C = Both of left handed and Tall, D= neither

Two overlapping sets problem, therefore

Total = G1+ G2 - Both + neither

Town X
total = A+B+C+D

Town Y
= 3A+3B+3C + 0

as Town X 4 times greater.
4(3A+3B+3C) = A+B+C+D
after simplifying D = 11(A+B+C)

as D is the only multiple of 11 so to me it look like an answer.

_________________

--Action is the foundational key to all success.

Senior Manager
Status: mba here i come!
Joined: 07 Aug 2011
Posts: 270
Followers: 42

Kudos [?]: 1055 [1] , given: 48

Re: Overlapping Sets Problem [#permalink]

Show Tags

24 Feb 2012, 14:22
1
KUDOS
Bullet wrote:
as Town X 4 times greater.
4(3A+3B+3C) = A+B+C+D
after simplifying D = 11(A+B+C)

12(A+B+C) = A+B+C+D
look at both sides now. you have 12 times A rather than 3 times A.
_________________

press +1 Kudos to appreciate posts

Math Expert
Joined: 02 Sep 2009
Posts: 36520
Followers: 7067

Kudos [?]: 92940 [4] , given: 10528

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

24 Feb 2012, 14:39
4
KUDOS
Expert's post
3
This post was
BOOKMARKED
Bullet wrote:
Some of the people in Town X are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town X, three times as many people are tall as are tall in Town X, three times as many people are both as are both in Town X, but no one is neither. If the total number of people in Town X is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town X who are neither left-handed nor tall?

(A) 23
(B) 39
(C) 72
(D) 143
(E) 199

[Reveal] Spoiler:
I calculated OA and it looks like D but i'm not 100% sure

Yes, correct answer is indeed D.

Given:
{X}={Left} + {Tall} - {Both} + {Neither};

{Y} = 3*{Left} + 3*{Tall} - 3*{Both};

Since the total number of people in Town X is four times greater than the total number of people in Town Y, then:
{Left} + {Tall} - {Both} + {Neither}=4*(3*{Left} + 3*{Tall} - 3*{Both});

{Neither}=11*({Left} + {Tall} - {Both}), which means that # of people in Town X who are neither left-handed nor tall must be a multiple of 11.

Only answer choice D, is a multiple of 11: 143=11*13.

_________________
Manager
Joined: 26 Dec 2011
Posts: 117
Followers: 1

Kudos [?]: 32 [0], given: 17

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

13 Jul 2012, 01:08
I am not fine with the language with this question.. does four times greater right usage.. or should it be four times..does the same meaning is construed.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13421
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

16 Dec 2013, 16:37
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 Club Legend
Joined: 09 Sep 2013
Posts: 13421
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

01 Mar 2015, 10:57
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.
_________________
Intern
Joined: 20 Aug 2014
Posts: 1
Followers: 0

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

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

01 Mar 2015, 17:55
Hi Bunnel,

I have a quick question. The question says "total number of people in Town X is four times greater than the total number of people in Town Y". Wouldn't this translate to X=5Y instead of X=4Y. Sorry if I am missing something.
Current Student
Joined: 06 Mar 2014
Posts: 276
Location: India
GMAT Date: 04-30-2015
Followers: 0

Kudos [?]: 71 [0], given: 84

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

16 Apr 2015, 18:51
Bunuel wrote:
Bullet wrote:
Some of the people in Town X are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town X, three times as many people are tall as are tall in Town X, three times as many people are both as are both in Town X, but no one is neither. If the total number of people in Town X is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town X who are neither left-handed nor tall?

(A) 23
(B) 39
(C) 72
(D) 143
(E) 199

[Reveal] Spoiler:
I calculated OA and it looks like D but i'm not 100% sure

Yes, correct answer is indeed D.

Given:
{X}={Left} + {Tall} - {Both} + {Neither};

{Y} = 3*{Left} + 3*{Tall} - 3*{Both};

Since the total number of people in Town X is four times greater than the total number of people in Town Y, then:
{Left} + {Tall} - {Both} + {Neither}=4*(3*{Left} + 3*{Tall} - 3*{Both});

{Neither}=11*({Left} + {Tall} - {Both}), which means that # of people in Town X who are neither left-handed nor tall must be a multiple of 11.

Only answer choice D, is a multiple of 11: 143=11*13.

I think the highlighted portion actually means: If X is the total population of Town X and Y is the total population of town Y then
X = 4Y + Y = 5Y
The Question stem states 4 times greater than Y not 4 times as much as Y.

Kindly Let me know if at all i am wrong.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7119
Location: Pune, India
Followers: 2129

Kudos [?]: 13625 [1] , given: 222

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

16 Apr 2015, 23:44
1
KUDOS
Expert's post
earnit wrote:
Bunuel wrote:
Bullet wrote:
Some of the people in Town X are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town X, three times as many people are tall as are tall in Town X, three times as many people are both as are both in Town X, but no one is neither. If the total number of people in Town X is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town X who are neither left-handed nor tall?

(A) 23
(B) 39
(C) 72
(D) 143
(E) 199

[Reveal] Spoiler:
I calculated OA and it looks like D but i'm not 100% sure

Yes, correct answer is indeed D.

Given:
{X}={Left} + {Tall} - {Both} + {Neither};

{Y} = 3*{Left} + 3*{Tall} - 3*{Both};

Since the total number of people in Town X is four times greater than the total number of people in Town Y, then:
{Left} + {Tall} - {Both} + {Neither}=4*(3*{Left} + 3*{Tall} - 3*{Both});

{Neither}=11*({Left} + {Tall} - {Both}), which means that # of people in Town X who are neither left-handed nor tall must be a multiple of 11.

Only answer choice D, is a multiple of 11: 143=11*13.

I think the highlighted portion actually means: If X is the total population of Town X and Y is the total population of town Y then
X = 4Y + Y = 5Y
The Question stem states 4 times greater than Y not 4 times as much as Y.

Kindly Let me know if at all i am wrong.

This discussion has taken place many times before. Check out this link to understand why it will be the way Bunuel has done it: http://mathforum.org/library/drmath/view/52334.html
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Director
Joined: 23 Jan 2013
Posts: 579
Schools: Cambridge'16
Followers: 1

Kudos [?]: 42 [0], given: 40

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

17 Apr 2015, 03:42
w+x+y+z=12w+12x+12y

z=11w+11x+11y

z=11(w+x+z)

it should be multiple of 11

D
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13421
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Some of the people in Town X are left-handed, some are tall [#permalink]

Show Tags

02 May 2016, 02:05
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.
_________________
Re: Some of the people in Town X are left-handed, some are tall   [#permalink] 02 May 2016, 02:05
Similar topics Replies Last post
Similar
Topics:
18 In Smithtown, the ratio of right-handed people to left-handed people i 9 09 Jun 2015, 02:06
1 A group of people participate in some curriculum, 20 of them 1 15 Dec 2013, 00:38
20 A certain organization presents reward to some people... 5 15 Oct 2012, 18:37
15 Some of the people in Town X are left-handed, some are tall 10 27 Jan 2012, 02:20
A group of people participate in some curriculums, 20 of 16 24 Oct 2007, 18:41
Display posts from previous: Sort by

Some of the people in Town X are left-handed, some are tall

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.