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

It is currently 20 Sep 2014, 04:34

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

This might have come many times. The percentage of

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
User avatar
Joined: 01 Apr 2008
Posts: 909
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 15

Kudos [?]: 216 [0], given: 18

GMAT Tests User
This might have come many times. The percentage of [#permalink] New post 11 Aug 2009, 04:33
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

75% (02:31) correct 25% (01:07) wrong based on 13 sessions
This might have come many times.

The percentage of households with an annual income of more than $40,000 is higher in
Merton county than in any other county. However, the percentage of households with an
annual income of $60,000 or more is highest in Sommer county.
If the statements above are true, which of the following can properly be concluded on the
basis of them?
A. No household in Merton county has an annual income of $60,000 or more.
B. Some households in Merton county have an annual income between $40,000 and
$60,000.
C. The number of households with an annual income of more than $40,000 is greater
in Merton than in Sommer county.
D. Average annual household income is higher in Sommer than in Merton county.
E. The percentage of households with an annual income of $80,000 is higher in
Sommer than in Merton county

Can anyone give an example on why D is wrong ? If the percent of households within each county is considered then always average annual household income will be greater in Sommer.
Eg. 50% of all households in Sommer have 60,000 and 49% of all households in Merton have 59,000 income. As per my understanding Sommer's average will always be greater than Merton if we consider "percentage of households separately within each group". Where is the flaw?
1 KUDOS received
Director
Director
avatar
Joined: 05 Jun 2009
Posts: 852
WE 1: 7years (Financial Services - Consultant, BA)
Followers: 8

Kudos [?]: 182 [1] , given: 106

GMAT Tests User
Re: Average households [#permalink] New post 11 Aug 2009, 05:05
1
This post received
KUDOS
Economist wrote:
This might have come many times.

The percentage of households with an annual income of more than $40,000 is higher in
Merton county than in any other county. However, the percentage of households with an
annual income of $60,000 or more is highest in Sommer county.
If the statements above are true, which of the following can properly be concluded on the
basis of them?
A. No household in Merton county has an annual income of $60,000 or more.
B. Some households in Merton county have an annual income between $40,000 and
$60,000.
C. The number of households with an annual income of more than $40,000 is greater
in Merton than in Sommer county.
D. Average annual household income is higher in Sommer than in Merton county.
E. The percentage of households with an annual income of $80,000 is higher in
Sommer than in Merton county

Can anyone give an example on why D is wrong ? If the percent of households within each county is considered then always average annual household income will be greater in Sommer.
Eg. 50% of all households in Sommer have 60,000 and 49% of all households in Merton have 59,000 income. As per my understanding Sommer's average will always be greater than Merton if we consider "percentage of households separately within each group". Where is the flaw?


Lets say I add the premises - The percentage of households with an annual income below $10,000 is also highest in Sommer.
I hope you are getting, what I am setting. :)

You are neglecting the remaining households. In this kind of scenarios, information is incomplete to make such strong inferences as in D.
Also in case of averages, remember that just having the highest values does not suggest the average value will be high.

e.g.
Set 1 (Merton, M)- 41,41,41,41
Set 2 (Sommer, S) - 61,5,5,5

Lets check if satisying the premises of the question
M has >40 (100%), S has 25%
S has >60 (25%). S has 0%
==> average Annual income of M is higher


Set 1 (Merton, M)- 41,41,41,41
Set 2 (Sommer, S) - 500,5,5,5
==> Average annual income of S is higher

Also, in your example, I do not understand your sample figures. Can you explain why you pick that figures 49% and 50%?
M can have x% 40000+ as it has highest % over 40,000
S can have y% 60000+ as it has highest % over 60,000
But, y < x
as 60000+ is a subset of 40000+

if y > x the first premise will be broken.
_________________

Consider kudos for the good post ... :beer
My debrief : journey-670-to-720-q50-v36-long-85083.html

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 17 Jul 2009
Posts: 300
Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)
Followers: 1

Kudos [?]: 32 [1] , given: 9

GMAT Tests User
Re: Average households [#permalink] New post 11 Aug 2009, 05:26
1
This post received
KUDOS
B. very clear....since Morten has highest percentage of 40,000++s, and Sommer has higher percentage of 60,000, thus not all Morten's 40,000s can be 60,000+ households, therefore some must fall between 40,000 and 60,000
Senior Manager
Senior Manager
avatar
Joined: 17 Jul 2009
Posts: 300
Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)
Followers: 1

Kudos [?]: 32 [0], given: 9

GMAT Tests User
Re: Average households [#permalink] New post 11 Aug 2009, 05:27
agree with sudeep's explanation on why D is wrong btw.
Intern
Intern
avatar
Joined: 29 Jun 2009
Posts: 15
Location: Dallas TX
Followers: 0

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

Re: Average households [#permalink] New post 11 Aug 2009, 05:39
Clearly B
Director
Director
User avatar
Joined: 01 Apr 2008
Posts: 909
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 15

Kudos [?]: 216 [0], given: 18

GMAT Tests User
Re: Average households [#permalink] New post 11 Aug 2009, 09:50
sudeep wrote:
Economist wrote:
This might have come many times.

The percentage of households with an annual income of more than $40,000 is higher in
Merton county than in any other county. However, the percentage of households with an
annual income of $60,000 or more is highest in Sommer county.
If the statements above are true, which of the following can properly be concluded on the
basis of them?
A. No household in Merton county has an annual income of $60,000 or more.
B. Some households in Merton county have an annual income between $40,000 and
$60,000.
C. The number of households with an annual income of more than $40,000 is greater
in Merton than in Sommer county.
D. Average annual household income is higher in Sommer than in Merton county.
E. The percentage of households with an annual income of $80,000 is higher in
Sommer than in Merton county

Can anyone give an example on why D is wrong ? If the percent of households within each county is considered then always average annual household income will be greater in Sommer.
Eg. 50% of all households in Sommer have 60,000 and 49% of all households in Merton have 59,000 income. As per my understanding Sommer's average will always be greater than Merton if we consider "percentage of households separately within each group". Where is the flaw?


Lets say I add the premises - The percentage of households with an annual income below $10,000 is also highest in Sommer.
I hope you are getting, what I am setting. :)

You are neglecting the remaining households. In this kind of scenarios, information is incomplete to make such strong inferences as in D.
Also in case of averages, remember that just having the highest values does not suggest the average value will be high.

e.g.
Set 1 (Merton, M)- 41,41,41,41
Set 2 (Sommer, S) - 61,5,5,5

Lets check if satisying the premises of the question
M has >40 (100%), S has 25%
S has >60 (25%). S has 0%
==> average Annual income of M is higher


Set 1 (Merton, M)- 41,41,41,41
Set 2 (Sommer, S) - 500,5,5,5
==> Average annual income of S is higher

Also, in your example, I do not understand your sample figures. Can you explain why you pick that figures 49% and 50%?
M can have x% 40000+ as it has highest % over 40,000
S can have y% 60000+ as it has highest % over 60,000
But, y < x
as 60000+ is a subset of 40000+

if y > x the first premise will be broken.

Thanks sudeep for taking out time to explain so much ! :) +1 Kudo to you.
That is where I goofed up the entire question. Guess I am frustrated now..
I was trying to compare percentages of 60+ and 40+ in each set with a blank mindset of M only having values between 40-60 and nothing else. So I had only two sets in mind: M (40-60) and S(60+). Also when the question says percentage of households, I interpreted as "% of households within M" ...so M has more % of 40-60 values within M, and S has more % ( greater than % value of M ) of 60+ within S.

COMPLETE goof up :(
Anyways I need a break now :)
Manager
Manager
avatar
Joined: 21 Jun 2009
Posts: 156
Followers: 3

Kudos [?]: 8 [0], given: 1

Re: Average households [#permalink] New post 11 Aug 2009, 14:25
B
Dont look too hard on CRs, they will backfire.
Director
Director
User avatar
Joined: 25 Oct 2008
Posts: 611
Location: Kolkata,India
Followers: 9

Kudos [?]: 173 [0], given: 100

GMAT Tests User
Re: Average households [#permalink] New post 11 Aug 2009, 20:00
yup..familiar problem..B it is!
_________________

countdown-beginshas-ended-85483-40.html#p649902

Senior Manager
Senior Manager
User avatar
Joined: 21 Dec 2009
Posts: 268
Location: India
Followers: 9

Kudos [?]: 70 [0], given: 25

GMAT Tests User
Re: Average households [#permalink] New post 03 Sep 2010, 14:42
B is the answer
_________________

Cheers,
SD

Director
Director
User avatar
Joined: 21 Dec 2010
Posts: 658
Followers: 10

Kudos [?]: 81 [0], given: 51

GMAT Tests User
Re: Average households [#permalink] New post 28 Apr 2011, 10:31
i did not plug any numbers to make the conclusion , intuitively B
_________________

What is of supreme importance in war is to attack the enemy's strategy.

SVP
SVP
User avatar
Joined: 01 Oct 2013
Posts: 1920
Followers: 260

Kudos [?]: 58 [0], given: 0

Premium Member
Re: This might have come many times. The percentage of [#permalink] New post 04 Jun 2014, 07:28
Hello from the GMAT Club VerbalBot!

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: This might have come many times. The percentage of   [#permalink] 04 Jun 2014, 07:28
    Similar topics Author Replies Last post
Similar
Topics:
Many convicts who, at one time, might then have been found vaivish1723 1 03 Jul 2009, 00:39
17 Experts publish their posts in the topic Some parents have a very difficult time coming to grips with asthanap 29 11 Mar 2009, 06:46
This might have been posted before.. gmatornot 3 10 Aug 2006, 14:00
This might have been discussed.. At the invitation of celiaXDN 7 28 Sep 2005, 12:45
Some parents have a very difficult time coming to grips with ngobaotrung 6 15 May 2005, 03:22
Display posts from previous: Sort by

This might have come many times. The percentage of

  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®.