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Several students are studying together for an exam - Kaplan

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a1choi
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Several students are studying together for an exam - Kaplan [#permalink] New post   25 Aug 2011, 22:33
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67% (02:21) correct 33% (02:15) wrong based on 169 sessions
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Several students are studying together for an exam. 60% of the students who studied less than 10 hours a week feel unprepared. 80% of students who studied 10 hours or more each week feel prepared. If 75% of the students studied less than 10 hours per week, what percent of the students feel prepared for the exam?

A. 20
B. 25
C. 30
D. 35
E. 50
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a1choi
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Re: Several students are studying together for an exam - Kaplan [#permalink] New post   25 Aug 2011, 22:46
I tackled this problem by doing this:

<10hr: Unprepped 60%
Prepped 40%
percent of total = 75%

>10hr:Unprepped 20%
Prepped 80%
% of total = 25%

total prepped% = 0.75*40+ 0.25*80 = 50%

so therefore, 50% of all students feel prepped.

in other words, lets say there are 100 students.

<10hrs = 75 (45 unprep, 30 prep)
>10hrs = 25 (5 unprep, 20 prep)

total 50 prepped, 50 unprepped.


but 50% is not an option?
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Berbatov
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Re: Several students are studying together for an exam - Kaplan [#permalink] New post   26 Aug 2011, 01:50
a1choi wrote:
...


Made the same calculation :?
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gurumurthyb
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Re: Several students are studying together for an exam - Kaplan [#permalink] New post   13 Sep 2011, 12:55
yeah me too got the same answer....is thr any thng wrong in the answer choices?
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Re: Several students are studying together for an exam - Kaplan [#permalink] New post   13 Sep 2011, 22:06
Expert Reply
a1choi wrote:
Several students are studying together for an exam. 60% of the students who studied less than 10 hours a week feel unprepared. 80% of students who studied 10 hours or more each week feel prepared. If 75% of the students studied less than 10 hours per week, what percent of the students feel prepared for the exam?

A. 20
B. 25
C. 30
D. 35
E. 60


The answer is missing from the options.

Let's say there are 100 students.

Students who studied <10 hrs = 75% = 75
So students who studied =>10hrs = 25

Given: 60% of the students who studied less than 10 hours a week feel unprepared.
So 40% of 75 (=30) feel prepared

Given: 80% of students who studied 10 hours or more each week feel prepared.
So 80% of 25 (= 20) feel prepared

Total (30 + 20) = 50 out of 100 feel prepared. 50% feel prepared
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Re: Several students are studying together for an exam - Kaplan [#permalink] New post   16 May 2020, 00:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Several students are studying together for an exam - Kaplan [#permalink]
16 May 2020, 00:42
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