Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A certain high school with a total enrollment of 900 student [#permalink]

Show Tags

03 Sep 2012, 06:10

2

This post received KUDOS

Expert's post

21

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

67% (02:29) correct
33% (01:37) wrong based on 804 sessions

HideShow timer Statistics

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days?

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. (2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days.

Practice Questions Question: 34 Page: 277 Difficulty: 650

Re: A certain high school with a total enrollment of 900 student [#permalink]

Show Tags

03 Sep 2012, 06:11

2

This post received KUDOS

Expert's post

10

This post was BOOKMARKED

SOLUTION

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days?

The trick here is that we don't know whether all of 900 students attended on at least one day. Meaning that there can be # of students which didn't take part in the fair.

So we have the following groups: A. Attended on only one day B. Attended on two days exactly C. Attended on all three days D. Not attended. And the sum of these groups is A+B+C+D=900. We want to determine the value of C.

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. So, 900*0.3=270 attended 2 or more days --> B+C=270. Not sufficient.

(2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days --> 10%*(A+B+C)=C --> A+B=9C. Not sufficient.

(1)+(2) B+C=270, A+B=9C and A+B+C+D=900. Three equations four unknowns. Not sufficient.

Re: A certain high school with a total enrollment of 900 student [#permalink]

Show Tags

03 Sep 2012, 06:37

1

This post received KUDOS

Each statement alone is clearly not sufficient.

Statement (1) + (2) together: 900 * 0.3 = 270 students attended the fair on two or more days. Since we don't know the number of students that didn't attend the fair at all or on one day, we don't know, how many students attended the fair on all three days.

It could be: 30 students on all three days, 240 students on two days, 30 students on one day, 600 students never. It could be: 60 students on all three days, 210 students on two days, 330 students on one day, 300 students never.

Answer is E, both statements together not sufficient.

Re: A certain high school with a total enrollment of 900 student [#permalink]

Show Tags

07 Sep 2012, 06:06

1

This post received KUDOS

Expert's post

SOLUTION

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days?

The trick here is that we don't know whether all of 900 students attended on at least one day. Meaning that there can be # of students which didn't take part in the fair.

So we have the following groups: A. Attended on only one day B. Attended on two days exactly C. Attended on all three days D. Not attended. And the sum of these groups is A+B+C+D=900. We want to determine the value of C.

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. So, 900*0.3=270 attended 2 or more days --> B+C=270. Not sufficient.

(2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days --> 10%*(A+B+C)=C --> A+B=9C. Not sufficient.

(1)+(2) B+C=270, A+B=9C and A+B+C+D=900. Three equations four unknowns. Not sufficient.

Answer: E.

Kudos points given to everyone with correct solution. Let me know if I missed someone. _________________

Re: A certain high school with a total enrollment of 900 student [#permalink]

Show Tags

19 Dec 2013, 05:06

Bunuel wrote:

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days?

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. (2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days.

Practice Questions Question: 34 Page: 277 Difficulty: 650

Stmt 1: 30 % attended on two or more days. so 270 students attended at least two days, but you get nothing about three days. IS

Stmt 2: 10 % of those that attended 1 day attended all three days. Since you don't know whether all 900 students attented once, this doesn't help. IS

Together: I still don't know nothing about the number of students in stmt 2 and stmt 1 doesn't help here. So still IS. Hence E.

Looks more complicated than it actually was. some logic thinking and the answer was there

A certain high school with a total enrollment of 900 students held a s [#permalink]

Show Tags

20 Feb 2015, 23:00

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days?

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. (2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days.

Re: A certain high school with a total enrollment of 900 student [#permalink]

Show Tags

21 Feb 2015, 04:09

Expert's post

whitehalo wrote:

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days?

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. (2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days.

Merging topics. Please search before posting. Thank you. _________________

A certain high school with a total enrollment of 900 student [#permalink]

Show Tags

20 Dec 2015, 07:07

1

This post received KUDOS

Bunuel wrote:

SOLUTION

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days?

The trick here is that we don't know whether all of 900 students attended on at least one day. Meaning that there can be # of students which didn't take part in the fair.

So we have the following groups: A. Attended on only one day B. Attended on two days exactly C. Attended on all three days D. Not attended. And the sum of these groups is A+B+C+D=900. We want to determine the value of C.

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. So, 900*0.3=270 attended 2 or more days --> B+C=270. Not sufficient.

(2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days --> 10%*(A+B+C)=C --> A+B=9C. Not sufficient.

(1)+(2) B+C=270, A+B=9C and A+B+C+D=900. Three equations four unknowns. Not sufficient.

Answer: E.

Dear Bunuel,

Could you be so kind to help me to puzzle out?

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days.

as i understand if 30% of students attended on two or more days, then more days=3 days, so why it is not sufficient? OR maybe i'm having problem with wording and INSTEAD OF "on two days" it must to be "on the 2nd day"?

(2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days.

even if 10% of 900 students attended all three days, there are may be some other students who attended only one day or two days, i.e. there are might be additional number of students except 10%; for instance: 25% of 900 students may attend on 3rd day, so 10%+25%

Re: A certain high school with a total enrollment of 900 student [#permalink]

Show Tags

20 Dec 2015, 11:34

Expert's post

studentsensual wrote:

Bunuel wrote:

SOLUTION

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days?

The trick here is that we don't know whether all of 900 students attended on at least one day. Meaning that there can be # of students which didn't take part in the fair.

So we have the following groups: A. Attended on only one day B. Attended on two days exactly C. Attended on all three days D. Not attended. And the sum of these groups is A+B+C+D=900. We want to determine the value of C.

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. So, 900*0.3=270 attended 2 or more days --> B+C=270. Not sufficient.

(2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days --> 10%*(A+B+C)=C --> A+B=9C. Not sufficient.

(1)+(2) B+C=270, A+B=9C and A+B+C+D=900. Three equations four unknowns. Not sufficient.

Answer: E.

Dear Bunuel,

Could you be so kind to help me to puzzle out?

(1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days.

as i understand if 30% of students attended on two or more days, then more days=3 days, so why it is not sufficient? OR maybe i'm having problem with wording and INSTEAD OF "on two days" it must to be "on the 2nd day"?

(2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days.

even if 10% of 900 students attended all three days, there are may be some other students who attended only one day or two days, i.e. there are might be additional number of students except 10%; for instance: 25% of 900 students may attend on 3rd day, so 10%+25%

Thanks!

Of the students enrolled in the school, 30 percent, attended the science fair on two or more days. This means that 270 people attended the science fair on two days exactly or on all three days. For example, 100 people could have attended on 2 days exactly out of 3 and 170 on all 3 days. _________________

Excellent posts dLo saw your blog too..!! Man .. you have got some writing skills. And Just to make an argument = You had such an amazing resume ; i am glad...

So Much $$$ Business school costs a lot. This is obvious, whether you are a full-ride scholarship student or are paying fully out-of-pocket. Aside from the (constantly rising)...

They say you get better at doing something by doing it. then doing it again ... and again ... and again, and you keep doing it until one day you look...

I barely remember taking decent rest in the last 60 hours. It’s been relentless with submissions, birthday celebration, exams, vacating the flat, meeting people before leaving and of...