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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

This might have come many times. The percentage of [#permalink]
11 Aug 2009, 04:33

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

78% (02:29) correct
22% (01:13) wrong based on 35 sessions

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 higher in Sommer County.

If the statements above are true, which of the following must also be true?

(A) The percentage of households with an annual income of $80,000 is higher in Sommer County than in Merton County. (B) Merton County has the second highest percentage of households with an annual income of $60,000 or more. (C) Some households in Merton County have an annual income between $40,000 and $60,000. (D) The number of households with an annual income of more than $40,000 is greater in Merton County than in Sommer County. (E) Average annual household income is higher in Sommer County than in Merton County.

Re: This might have come many times. The percentage of [#permalink]
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. _________________

Re: This might have come many times. The percentage of [#permalink]
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

Re: This might have come many times. The percentage of [#permalink]
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.

Re: This might have come many times. The percentage of [#permalink]
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.

gmatclubot

Re: This might have come many times. The percentage of
[#permalink]
04 Jun 2014, 07:28

Hello everyone! Researching, networking, and understanding the “feel” for a school are all part of the essential journey to a top MBA. Wouldn’t it be great... ...

Booth allows you flexibility to communicate in whatever way you see fit. That means you can write yet another boring admissions essay or get creative and submit a poem...