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Are at least 80 percent of the people in Country X

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Are at least 80 percent of the people in Country X [#permalink] New post 30 Apr 2012, 18:18
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66% (01:34) correct 33% (00:31) wrong based on 0 sessions
Are at least 80 percent of the people in Country X who are 25 years old or younger full-time students?

(1) In Country X, 32 percent of the population is 25 years old or younger.

(2) In Country X, of the population 25 years old or younger, 90 percent of the women and 75 percent of the men are full-time students.

I think that the typical approach of the table to solve the set problems is not useful in this question. It seems there are more than two categories. Please, your help.
Also, please confirm whether it is a 700+ question according to your experience. Thanks!

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[Reveal] Spoiler: OA

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Re: Are at least 80 percent of the people in Country X [#permalink] New post 30 Apr 2012, 20:09
metallicafan wrote:
Are at least 80 percent of the people in Country X who are 25 years old or younger full-time students?

(1) In Country X, 32 percent of the population is 25 years old or younger.

(2) In Country X, of the population 25 years old or younger, 90 percent of the women and 75 percent of the men are full-time students.

I think that the typical approach of the table to solve the set problems is not useful in this question. It seems there are more than two categories. Please, your help.
Also, please confirm whether it is a 700+ question according to your experience. Thanks!

Source: http://www.gmathacks.com


Statement 1) The most this can give us is that 32% of the population is 25 years or younger

Statement 2) This gives us the fact that 90% of the women and 75% of men 25 years or younger are students

Combined) Now we can calculate the total population which in fact equals one because we know that 32% are younger than 25. and 68% are older.

Now we can see if it works out. Percentage women who are 25 and younger and are students= (.10)(.9)=9%

Percentage of men 25> who are students= (.25)(.75)=18.75%

Think it should be Not Sufficient therefor E

I would would complete the prob but no use
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Re: Are at least 80 percent of the people in Country X [#permalink] New post 01 May 2012, 00:10
Are at least 80 percent of the people in Country X who are 25 years old or younger full-time students?

Question asks whether 80% of some particular group are students.

(1) In Country X, 32 percent of the population is 25 years old or younger. We are given the size of this particular group. Not sufficient.

(2) In Country X, of the population 25 years old or younger, 90 percent of the women and 75 percent of the men are full-time students. Of this particular group 90% of the women and 75% of the men are students --> since the weighted average of 2 individual averages (90% and 75%) must lie between these individual averages, then the average percent of students in this particular group is between 75% and 90%, so it may or may not be more than 80%. Not sufficient.

(1)+(2) Nothing new. Not sufficient.

Answer: E.

Similar question to practice: at-least-10-percent-of-the-people-in-country-x-who-are-122734.html

P.S. I wouldn't rate this problem as 700 level.
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Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
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WE 3: Government: Foreign Trade and SMEs
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Re: Are at least 80 percent of the people in Country X [#permalink] New post 01 May 2012, 16:26
Thank you Bunuel.
You are right. Definitely, not a 700+ question.

Sometimes we are so used to some approachs that we don't see other ways to solve a problem. Thanks again.
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Re: Are at least 80 percent of the people in Country X   [#permalink] 01 May 2012, 16:26
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