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Of the science books in a certain supply room, 50 are on bot
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07 Feb 2020, 04:51
07 Feb 2020, 04:51
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Question Stats:
50% (03:20) correct
50% (01:08) wrong based on 2 sessions
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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
(A) 81
(B) 159
(C) 166
(D) 285
(E) 324
Re: Of the science books in a certain supply room, 50 are on bot
[#permalink]
08 Feb 2020, 02:42
08 Feb 2020, 02:42
1
We need to remove 80 books of the same science.
First remove 50 on botany. did not reach target.
remove 65 on zoology. did not reach target.
remove 50 on geology. did not reach target.
remove 79 on physics. still need to remove 1 more book to reach 80 but what if the next 79 books are of chemistry.
so after removing 79 books of chemistry, there are 31 books left of chemistry and 11 books of physics.
so removing any 1 book of either subject will ensure that 80 books of the same science topic are removed.
Total number of books required = \(50+65+50+79+79+1 = 324\)
OA,E
First remove 50 on botany. did not reach target.
remove 65 on zoology. did not reach target.
remove 50 on geology. did not reach target.
remove 79 on physics. still need to remove 1 more book to reach 80 but what if the next 79 books are of chemistry.
so after removing 79 books of chemistry, there are 31 books left of chemistry and 11 books of physics.
so removing any 1 book of either subject will ensure that 80 books of the same science topic are removed.
Total number of books required = \(50+65+50+79+79+1 = 324\)
OA,E
Asif123 wrote:
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
(A) 81
(B) 159
(C) 166
(D) 285
(E) 324
gmatclubot
Re: Of the science books in a certain supply room, 50 are on bot [#permalink]
08 Feb 2020, 02:42
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