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Are at least 80 percent of the people in Country X [#permalink]
30 Apr 2012, 17:18

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This post was BOOKMARKED

00:00

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E

Difficulty:

55% (hard)

Question Stats:

56% (02:21) correct
44% (01:25) wrong based on 174 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!

Re: Are at least 80 percent of the people in Country X [#permalink]
30 Apr 2012, 19:09

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!

Re: Are at least 80 percent of the people in Country X [#permalink]
30 Apr 2012, 23:10

1

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

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.

Re: Are at least 80 percent of the people in Country X [#permalink]
05 Jun 2014, 00:52

Bunuel please correct me : I approached this question with Venn Diagram <= 25 years ::: >25 years ::: Total Full Time :: Not Full T :: Total :: According to Statement 1 : <= 25 years ::: >25 years ::: Total Full Time :: Not Full T :: Total :: 32%

Since its given the percentage of students under or of 25 years is 32% , this states that the percentage can never be more than 32%.

Please correct me where I am making mistake. The second statement though uses the weighted average concept : hence the total average will be between 57% and 90% -- not sufficient.

Also, this is contradicting the two statements. Please mention what I am missing.

Re: Are at least 80 percent of the people in Country X [#permalink]
05 Jun 2014, 01:15

Expert's post

GmatDestroyer2013 wrote:

Bunuel please correct me : I approached this question with Venn Diagram <= 25 years ::: >25 years ::: Total Full Time :: Not Full T :: Total :: According to Statement 1 : <= 25 years ::: >25 years ::: Total Full Time :: Not Full T :: Total :: 32%

Since its given the percentage of students under or of 25 years is 32% , this states that the percentage can never be more than 32%.

Please correct me where I am making mistake. The second statement though uses the weighted average concept : hence the total average will be between 57% and 90% -- not sufficient.

Also, this is contradicting the two statements. Please mention what I am missing.

Thanks

Yes, from (1) we have that 32% of the population is 25 years old or younger. Now, the question asks whether 80% of those 32% are full-time students, not 80% of the whole population.

Re: Are at least 80 percent of the people in Country X [#permalink]
06 Jun 2014, 03:18

Hi Bunuel,

yes it does.

now I am clear from statement 1 - we can't say it may or may not from statement 2 - the proportion will lie between the 90% and 75% which can be more than 80%.but nothing definitive hence not sufficient.

Combining 1 and 2 : still not sufficient. Hence E .. thanks a lot

Re: Are at least 80 percent of the people in Country X [#permalink]
18 Jun 2015, 08:37

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