A certain high school with a total enrollment of 900 student

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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
Source: — Data Sufficiency |

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by bharathh » Sat Sep 05, 2009 5:51 pm
E IMO

Neither statement helps to come up with a number of students

Statement 1 is insufficient because our answer is a subset of the data given.

Statement 2 is insufficient due to the same explanation.

Even with both together we cannot narrow down the answer. So E

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by sanjib » Sat Sep 05, 2009 5:59 pm
Isn't it the statement 2 explains that 10% of 900 students attended all the three days.
Am I missing something?

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by bharathh » Sat Sep 05, 2009 6:07 pm
What is the OA?

Well the second statement says that 10% of everyone that went at least once went on all three days.

However do you know how many ppl went at least once? No.. so we don't know what 10% of that number is . Thus, 2 is insufficient. Just knowing the % is not enough unless the question asks what is the % of students that went on all three days.

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sanjib 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
nice q! (E)

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by sanjib » Sun Sep 06, 2009 12:22 pm
Thank you everybody
the OA is E