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The percentage of households with an annual income of more

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Re: CR: Household income [#permalink] New post 30 Jan 2009, 13:36
Agree with B. A ,D & E are out of scope. We are talking about percentage of people with at certain income level. How can we co relate that to the average income of whole county. hence D is out of scope

Between B & C, B is correct

C is saying The number of households with an annual income of more than $40,000 is greater in Merton than in Sommer county.

Lets say M has 65 % > 40K

S has 55% > 60K

65/100 (M) > 55/100(S)?? cant say. Also the %ages above are arbitrary. As long as we dont know the exact percentages and total numbers in each county, we cannot say this.

B says Some households in Merton county have an annual income between $40,000 and $60,000.

Because M has highest percentage of people above 40K and it is not the county with highest % of people with above 60K, there must be some people with income greater than 40K and less than 60K
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Re: CR: Household income [#permalink] New post 02 Feb 2009, 05:25
pmenon wrote:
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.



just realized... i will go with D

Premise 1: % of households with an annual income of more than $40,000 is higher in Merton county than in any other county.

Premise 2: % households with an annual income of $60,000 or more is highest in Sommer county.

Now a conclusion should properly make use of both the premises.

So A - may be or may not be
B - (Some households in Merton county have an annual income between $40,000 and $60,000.)may be correct, from the given premise we can agree with this fact. but for choosing B as conclusion why i should give premise 2. premise 1 itself can say what B says here. :-)

C - repeating the premise.
D - clealy uses both the premise and gives a consolidated result.
E - may or may not be.
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Re: CR: Household income [#permalink] New post 02 Feb 2009, 07:28
pmenon wrote:
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. -Out of Scope
B. Some households in Merton county have an annual income between $40,000 and $60,000. -Must be true
C. The number of households with an annual income of more than $40,000 is greater in Merton than in Sommer county.-passage talk about % house not absolute numbers
D. Average annual household income is higher in Sommer than in Merton county.-can not be concluded based o above info
E. The percentage of households with an annual income of $80,000 is higher in Sommer than in Merton county.out of scope
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Re: The percentage of households with an annual income of more [#permalink] New post 10 Jan 2013, 11:54
I chose D. The OG says the answer is C and states that it can be inferred.

The reason I chose D was that the stem clearly states that the number of households with an annual income of more than $40k is higher in MC than in any other county.

D essentially restates the argument that MC has greatest number of households with with an annual income of more than $40k. I took this to mean that SC was considered to be "any of the other counties" and therefore could NOT have more people with an larger annual income above $40k.

Where did I go wrong???
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Re: The percentage of households with an annual income of more [#permalink] New post 20 Jan 2013, 19:58
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buymovieposters wrote:
I chose D. The OG says the answer is C and states that it can be inferred.

The reason I chose D was that the stem clearly states that the number of households with an annual income of more than $40k is higher in MC than in any other county.

D essentially restates the argument that MC has greatest number of households with with an annual income of more than $40k. I took this to mean that SC was considered to be "any of the other counties" and therefore could NOT have more people with an larger annual income above $40k.

Where did I go wrong???


Hi,

Coming straight to your question, you went wrong by confusing absolute numbers with percentages. The passage is talking about percentage of households while Option D is talking about actual number of households. These are nto the same things.

However, don't worry. This confuses so many of test takers. You are nor alone :)

To explain this, let's consider the following numbers:

Merton County

Population of MC: 100
Number of people with income above $40K: 60
Percentage of people with income above $40K: 60%

Number of people with income above $60K: 20
Percentage of people with income above $40K: 20%

Sommer County
Population of SC: 1000
Number of people with income above $40K: 400
Percentage of people with income above $40K: 40%

Number of people with income above $60K: 300
Percentage of people with income above $40K: 30%

Now, if you see all the statements in the passage holds; however, option D doesn't hold since MC has 60 people above 40K while SC has 400 people above 40K.

Hope this helps :)

Let me know if you have any further queries.

-Chiranjeev
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Re: The percentage of households with an annual income of more [#permalink] New post 21 Jan 2013, 20:48
If you go back to the beginning of this thread, you'll see that the answer choices are sequenced differently in the first post and in the fourth post. That is causing part of the confusion here. The correct answer is the one which says that some households in Merton county have an annual income between $40,000 and $60,000. This has to be true. If it were NOT true, and if Sommer has the highest percentage above $60,000 (which it has), then Sommer's percentage that is above $40,000 would necessarily be higher than Merton's.
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Re: The percentage of households with an annual income of more [#permalink] New post 22 Jan 2013, 16:19
ans is C.
FROM THE STIMULUS GIVEN IT IS NOT POSSIBLE TO REACH TO THE ANSWER D OR E
SO I WILL STICK WITH C
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Re: The percentage of households with an annual income of more [#permalink] New post 28 Jan 2013, 01:10
many cr question take me 4 minutes but this take me less than 2 minutes.

make drawing for this kind and prethink an inference.

Meton Sommer

40 level ======
=====



=====
60 level ======
==============

think that there are 2 tank of water, the left is Meton Tank, the right is Somer Tank. look at the drawing. this question is popular. remember the drawing is easy.
prethink: there is some person between 40 and 60 level in Meton tank
go to answer choice. C match.


ONE PROBLEM.
many expert advise us not to prethink an inference for inference questions. but I think differently. prethinking works for both assumption based questions and inference question simply because if helps us better understand the argument. Ron's lecture requires us to take note just to slow down our reading of the argument for better understanding.

pls, comment of this idea.

thank you.
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Re: The percentage of households with an annual income of more [#permalink] New post 28 Jan 2013, 01:23
sorry re-draw again


.................meton......................................sommer

40 level..... ====
...........................................................=====40 level


...........................................................=====60 level
60 leve ......====

bottom ===========================
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Re: The percentage of households with an annual income of more [#permalink] New post 25 Nov 2013, 18:15
gmataquaguy wrote:
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.

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There is confusion between B, C, D. The Passage states that % HH-Income> 40000-MC Highest in country; % HH-Income> 60000-SC Highest in country. Here you can delineate that later set of Annual income greater than 60000 can be part of former group- MC, But MC ranking need not to be part of Later SC ranking. Hence option B cannot be predicted from the information in the passage as we don't have the who stands after MC in the >40,000 ranking. Again C and D remains , both were true.

Sorry ——— to cannot give kudos as this is OG question.

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Re: The percentage of households with an annual income of more   [#permalink] 25 Nov 2013, 18:15
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