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by Nycgrl » Wed Aug 06, 2008 3:27 pm
Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
(A) 81
(B) 159
(C) 166
(D) 285
(E) 324
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by parallel_chase » Wed Aug 06, 2008 3:49 pm
You want to remove 80 books of the same science.

Lets take the worst case scenario.

remove 79 from botany = we only have 50
remove 79 from zoology= we only have 65
remove 79 from physics =79
remove 79 from geology= we only have 50
remove 79 from chemistry= 79

50+65+79+50+79= 323

Now we just have to pick 1 more book to make sure we at least have 80 of same science

323+1=324

Let me know if you have any doubts.
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by Nycgrl » Wed Aug 06, 2008 3:51 pm
I solved this question like this only but OA is 81.
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by parallel_chase » Wed Aug 06, 2008 4:00 pm
Nycgrl wrote:I solved this question like this only but OA is 81.
The OA is 324. I solved this question yesterday, refer this

https://www.beatthegmat.com/science-book ... html#65305
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by Wakka Wakka » Wed Aug 06, 2008 4:03 pm
dumb question what is OA?
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by Nycgrl » Wed Aug 06, 2008 4:10 pm
parallel_chase wrote:
Nycgrl wrote:I solved this question like this only but OA is 81.
The OA is 324. I solved this question yesterday, refer this

https://www.beatthegmat.com/science-book ... html#65305

Thanks Parallel_chase
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by Wakka Wakka » Wed Aug 06, 2008 4:11 pm
nevermind...tired...time to stop studying
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