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The percentage of households with an annual income of more

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Re: The percentage of households with an annual income of more  [#permalink]

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New post 10 Jan 2013, 12:54
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]

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New post 20 Jan 2013, 20:58
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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]

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New post 21 Jan 2013, 21:48
1
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]

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New post 22 Jan 2013, 17:19
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]

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New post 28 Jan 2013, 02:10
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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New post 28 Jan 2013, 02:23
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]

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New post 25 Nov 2013, 19:15
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.

Official Guide 12 Question

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Good One
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]

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New post 27 Mar 2014, 09:57
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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.

Hi, I added this as previous posts don't have OA.
Can anyone explain why A is wrong, please.
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New post 27 Mar 2014, 11:52
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goodyear2013 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.

Hi, I added this as previous posts don't have OA.
Can anyone explain why A is wrong, please.

Dear goodyear2013,
I'm happy to help. :-)

Variants of this question are jumbled all over GC --- different orders and different combinations for the answer choices. FYI, in this configuration, (B) is the OA, not (C). Choice (C) makes the classic numbers/percentage confusion, a tried and true trap.

Why is (A) wrong? The short answer is: it's too extreme. When you are drawing a conclusion or inference on the GMAT CR, any choice with "always", "never", "no", "none", "every", etc. are usually not going to work. Any answer making any kind of absolute statement typically does not work.

Think about it. The prompt says: "the percentage of households with an annual income of $60,000 or more is highest in Sommer county." What could this mean? Well, it could mean:
Sommer county: 10% of households have income > $60K
Merton county: 5% of households have income > $60K
This would be 100% consistent with the information in the prompt. If 5% of the households in Merton county have incomes over $60,000, then that's obvious more than zero. Choice (A) makes the fallacy that if P > Q, then it must be true that Q is zero. That's far too much of a leap, given only that P > Q.

Does this make sense?
Mike :-)
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 04 Apr 2014, 00:18
I totally agree with Mike. The correct Answer is B.

A)No household in Merton county has an annual income of $60,000 or more.
Avoid using the words No, never , none. As these word denote extreme.

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

Number Vs Percentage issue.

D. Average annual household income is higher in Sommer than in Merton county.

We cannot do average until and unless we know the No of people in each area.

E. The percentage of households with an annual income of $80,000 is higher in
Sommer than in Merton county.

A very trick option but i try to explain this in simple way

We are given that
P1 : households with an annual income of more than $40,000 is higher in
Merton county than in any other county.

It is possible that people with salaries higher than 80,000$ are present in Merton.

P2 : percentage of households with an annual income of $60,000 or more is highest in Sommer county.

It is possible that people with more than 80,000$ are also present in Sommer.

So, it is not possible to conclude that Sommer has more people earning 80.000$ than those in Sommer .
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New post 27 Apr 2014, 11:46
goodyear2013 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.

Hi, I added this as previous posts don't have OA.
Can anyone explain why A is wrong, please.


Answer is B.
Please make sure to post correct OA while posting any question. This will help to avoid any confusion.

Thanks.
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 03 May 2014, 02:18
goodyear2013 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.

Hi, I added this as previous posts don't have OA.
Can anyone explain why A is wrong, please.


The premise says: % of households with A.Income of more than 40k is higher than in MC than in any others, implying that 1: there may be at least 1 household in MC with a.income more than 60k, and 2: there may be NO household in MC of more than 60k
A. NO household in MC has A.income of more than 60k, ==> can not be PROPERLY concluded on that basis
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 05 May 2014, 23:08
I too totally agree B is the official answer because in order to have an average annual income of >40,000$, some households can fall under 40,000 to 60,000$ category.
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New post 06 May 2014, 01:24
B is the correct answer! I met it in the OG 13th and Im sure that the correct one is B, NOT C
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New post 06 May 2014, 06:26
nhanqtvn wrote:
B is the correct answer! I met it in the OG 13th and Im sure that the correct one is B, NOT C

everyone is saying the answer is B but when i marked B as my answer the system gave C as the right one.
Can anyone check on this
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 06 May 2014, 13:57
tyagigar wrote:
nhanqtvn wrote:
B is the correct answer! I met it in the OG 13th and Im sure that the correct one is B, NOT C

everyone is saying the answer is B but when i marked B as my answer the system gave C as the right one.
Can anyone check on this

Dear tyagigar,
I just changed the OA in the top entry to (B). I had said that in my post, the second on the page, but this brings everything on the page into consistency.

My friend, don't naively assume that questions on all GMAT Club are entered flawlessly with no absolutely errors. Anyone, ANYONE, can submit a question here. "Anyone" is an awfully big category --- someone who barely knows English, someone who has been awake for 30 hours, someone who is drunk, etc. Many people are quite careful, but some people entering questions make all kinds of mistakes --- spelling mistakes, missing sentences, missing diagrams, and yes, entering the wrong letter as the OA. Don't naively assume that the way it was entered by the first person is perfect. If everyone on the page, including experts, agrees that the answer is something else, that's a very good sign that the system, based on how the first person entered it, is not to be trusted.

Does all this make sense?
Mike :-)
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Re: The percentage of households with an annual income of more  [#permalink]

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New post Updated on: 28 Mar 2017, 02:01
To keep things simple, Population for both = 100
I'll explain the most Restrictive scenario

S County
Population 100
# Of Household greater than or equal to 60K = 10
# Of Household Between 40K to 60K = 0

% above 40K = 10% AND % above 60K = 10%
None between 40 to 60 range but still satisfies conditions

M County
Population 100
# Of Household greater than or equal to 60K = 9
# Of Household Between 40K to 60K = 2

% above 40K = 11% BUT % above 60K = 9%
Some has to be in that 40 to 60 range, otherwise wont satisfy condition

Hence C is the Ans

Originally posted by TheRzS on 10 Jan 2017, 15:49.
Last edited by TheRzS on 28 Mar 2017, 02:01, edited 1 time in total.
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 26 Jan 2017, 19:57
The whole goal is the confusion of %age vs numbers.. You can't assume both counties have the same total no of households. If that were the case, the answer would be an obvious D.

Here is a scenario:

Answer is C.

There have to be some households that have incomes between 40K and 60K

TheRzS wrote:
To keep things simple, Population for both = 100
I'll explain the most Restrictive scenario

S County
Population 100
# Of Household greater than or equal to 60K = 10
# Of Household Between 40K to 60K = 0

% above 40K = 10% AND % above 60K = 10%
None between 40 to 60 range but still satisfies conditions

M County
Population 100
# Of Household greater than or equal to 60K = 9
# Of Household Between 40K to 60K = 2

% above 40K = 11% BUT % above 60K = 9%
Some has to be in that 40 to 60 range, otherwise wont satisfy condition

Hence B is the Ans
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 25 Jul 2017, 04:53
tyagigar wrote:
nhanqtvn wrote:
B is the correct answer! I met it in the OG 13th and Im sure that the correct one is B, NOT C

everyone is saying the answer is B but when i marked B as my answer the system gave C as the right one.
Can anyone check on this
[/URL]

Check the correct answer by the statement and not just by the correct answer tagging A/B/C/D/E.

Correct answer is : Some households in Merton County have an annual income between $40,000 and $60,000. (Regardless of whatever tagging has been made to the answer choice - A/B/C/D/E.

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Re: The percentage of households with an annual income of more  [#permalink]

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New post 09 Sep 2017, 13:40
this is a common pattern in gmat, test takers should know this, also, this pattern is relating to percentage and numbers, but the right answer turns out to connect with sth else.
Re: The percentage of households with an annual income of more &nbs [#permalink] 09 Sep 2017, 13:40

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