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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.

Data Sufficiency Question: 10 Category:Arithmetic Percents Page: 153 Difficulty: 650

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

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. We don't know the percentage of the occupied single-family homes that were built last year. Not sufficient.

(2) A total of 7,200 single-family homes in City X were occupied at the end of last year. The same here: we don't know the percentage of the occupied single-family homes that were built last year. Not sufficient.

(1)+(2) We know the total number and the percentage of the single-family homes that were occupied but still don't know the percentage of the occupied single-family homes that were built last year. Not sufficient.

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

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27 Dec 2013, 12:02

1

This post received KUDOS

IMO E is the answer.

We are required to find the number of occupied out of the 230 single-family homes houses that were built last year.

Statement 1: NOT Sufficient since we are only given with the percentage of all the single-family homes houses that were occupied.

Statement 2: Again NOT Sufficient as we know the total number of single-family homes occupied at the end of last year but not of those that were built last year.

Statements 1&2 together are also not sufficient as we can only find the total number of single-family homes but not what is required.

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. We don't know the percentage of the occupied single-family homes that were built last year. Not sufficient.

(2) A total of 7,200 single-family homes in City X were occupied at the end of last year. The same here: we don't know the percentage of the occupied single-family homes that were built last year. Not sufficient.

(1)+(2) We know the total number and the percentage of the single-family homes that were occupied but still don't know the percentage of the occupied single-family homes that were built last year. Not sufficient.

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.

we need to find how many of the 230 Built last year, were occupied at the end of last year.

1)Doesn't tell us of the 230 built last year, how many were occupied at the end.Just tells us that of all the homes present , those built last year and also those before last year, 90% were occupied at the end.

Even if we knew total number of single homes built in all years we wouldn't be able to separate how many of the newly built 230 were occupied and how many otherwise . So Insufficient.

2)Again we don't know out of the 7200 occupied , how many of the 230 were occupied , could be all 230 of the new ones are occupied or may be none. Insufficient

1+2

we would be able to find the total homes built in all years and how many of them were occupied at the end of last year, but we still wouldn't know how many of those occupied were of the 230 built last year . Insufficient Answer E

( Coincidentally at the end of this year (2013), got this question about end of last year )
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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.

Data Sufficiency Question: 10 Category:Arithmetic Percents Page: 153 Difficulty: 650

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

B.L. - Built Last... O.L. - Occupied Last...

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

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22 Dec 2015, 10:24

Built last year is the keyword. None of the statements give a clarity on what number of houses built last year comprise the 90 percent occupancy or the 7200 single homes occupied. Hence, E

A classic example of GMAT checking judicious use of language
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Re: Of the 230 single-family homes built in City X last year, ho [#permalink]

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12 Jun 2016, 03:13

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.

However we do not know if 90% of the newly built homes were occupied or if 0% were occupied and the 90% contribution came from previously built homes. INSUFFICIENT

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

Again we have no idea how many of these belonged to the set containing the 230 newly built homes. INSUFFICIENT

On combining, we know that 7200 = 90 percent of all the single family homes. But we still cant answer how many of the 230 homes were occupied.

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

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23 Dec 2017, 10:30

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