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# Of the 230 single-family homes built in City X last year.

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Senior Manager
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Of the 230 single-family homes built in City X last year. [#permalink]

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09 Jul 2011, 20:04
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Of the 230 single-family homes built in City X last year. how many were occupied at the end of the year?

(1) Of all single-family homes in City X, 90 percent were occupied at the end of last year.
(2) A total of 7,200 single-family homes in City X were occupied at the end of last year.

[Reveal] Spoiler: My doubt
If we combine 1 and 2 do we get total 7200 homes were occupied which is 90% of total so total is 90/100 X = 7200 .... x = 7200 *100 /90 = 8000? Is this total no of houses that are in city X at the end of last yr 8000?
[Reveal] Spoiler: OA
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09 Jul 2011, 20:39
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The value of X that you calculated gives you all single families homes in City X. But the question ask you the number of single family homes built at the end of the last year out of the particular 230 single families homes that were built in city X.
Remember- out of the particular 230 homes - how many were occupied at the end of the last year?

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30 Jul 2011, 03:17
The question asks - of the 230 single-family homes built in city X last year how many were occupied at the end of the year?

Looking at both the choices, we see right away (without any calculations) that the options only give us information about the occupancy of single-family homes in city X. None of the options talks about the occupancy of the newly built homes. Therefore even by combining both options we cannot reach the answer.

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13 Aug 2011, 08:32

GyanOne's explanation is good.
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09 Sep 2011, 22:48
+E, since both number of single family homes in the city.
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16 Oct 2011, 21:48
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KUDOS
Actually , Sentence correction skills would help us out here -if some of us havent understood the question part yet.

The question says about "of THE 230 single family homes- here, the determiner is THE and qualifies the noun 230 single family homes. So, the question is asking about only those 230 single family homes and thats all.
But both statements (St1 & St2) are giving info only abt total number of SF homes built last year. None of them are talking abt THE 230 single-family homes. ANS: E
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17 Oct 2011, 10:53
My answer is E as well.

Though statement 1 is lucarative and tends to create a trap of assuming 90% of 230. However, one way to overcome that trap is to read statement 2
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17 Oct 2011, 13:31
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Re: Of the 230 single-family homes built in City X last year. [#permalink]

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23 Mar 2013, 11:24
OF THE 230 Single HOMES BUILT in city X last year,How many were occupied at the end of the year?

we have to calculate (Number of homes OF the 230 that were occupied at the EOY)

(1).

All Single Family Homes = X + 230
where X = OLD Single Family Homes that were built before LAST YEAR

So, statement says

0.9(X + 230) were OCCUPIED at EOY

=> 0.9X + 0.9*230 = > 90% of (230) were OCCUPIED LAST YEAR.

SUFFICIENT

Rgds,
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Re: Of the 230 single-family homes built in City X last year. [#permalink]

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01 Apr 2013, 20:29
targetgmatchotu wrote:
OF THE 230 Single HOMES BUILT in city X last year,How many were occupied at the end of the year?

we have to calculate (Number of homes OF the 230 that were occupied at the EOY)

(1).

All Single Family Homes = X + 230
where X = OLD Single Family Homes that were built before LAST YEAR

So, statement says

0.9(X + 230) were OCCUPIED at EOY

=> 0.9X + 0.9*230 = > 90% of (230) were OCCUPIED LAST YEAR.

SUFFICIENT

Rgds,
TGC

From the question we get:

Total Homes in City X = [Homes built before last year] + 230

We are asked how many of the 230 homes were occupied.

So we also have equation:

230 = [Occupied Homes Built last year] + [Unoccupied Homes Built last year]

Question is, Occupied Homes BUILT LAST YEAR = ?

Statement (1) gives us an entirely new equation that adds even more unknown variables:

Total Homes in City X = Total Occupied(.9) + Total Unoccupied(.1)

We can't do anything with this. Insufficient.

Statement (2) gives us the exact same information from Statement 1 in a different form

Total Homes In City X = 7200 + Total Unoccupied

Insufficient.

Even combining these two equations it is impossible to get any information on the homes built last year to answer the question, let alone which ones were occupied. So (C) is also insufficient.

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Re: Of the 230 single-family homes built in City X last year. [#permalink]

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07 Sep 2015, 23:15
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Re: Of the 230 single-family homes built in City X last year. [#permalink]

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27 May 2017, 08:49
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.
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Re: Of the 230 single-family homes built in City X last year.   [#permalink] 27 May 2017, 08:49
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