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Of the science books in a certain supply room, 50 are on

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Of the science books in a certain supply room, 50 are on [#permalink] New post 03 Jun 2005, 03:39
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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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 [#permalink] New post 03 Jun 2005, 07:55
Consider the worst scenario:
you pick 50, 50, 65, 79 (1) and 79 (2)=323

Next book must belong to the same science of (1) or (2)
That makes 324 the answer (in my reasoning!)
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 [#permalink] New post 03 Jun 2005, 09:51
thearch wrote:
Consider the worst scenario:
you pick 50, 50, 65, 79 (1) and 79 (2)=323

Next book must belong to the same science of (1) or (2)
That makes 324 the answer (in my reasoning!)


Bang on target ! flawless. I too got 324.

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 [#permalink] New post 03 Jun 2005, 10:20
same here :)

324
  [#permalink] 03 Jun 2005, 10:20
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