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# Viggo has 25 hardcover books that he is arranging upright on the top

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Math Expert
Joined: 02 Sep 2009
Posts: 58333
Viggo has 25 hardcover books that he is arranging upright on the top  [#permalink]

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20 Mar 2018, 06:51
00:00

Difficulty:

55% (hard)

Question Stats:

39% (01:16) correct 61% (01:01) wrong based on 31 sessions

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Viggo has 25 hardcover books that he is arranging upright on the top shelf of a bookcase. Will the 25 books fit on the top shelf?

(1) The top shelf of Viggo’s bookcase has a length of 36 inches.
(2) The average (arithmetic mean) thickness of the 25 books is at most 3/2 inches.

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Joined: 03 Jan 2018
Posts: 6
Re: Viggo has 25 hardcover books that he is arranging upright on the top  [#permalink]

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20 Mar 2018, 07:27
1) Not Sufficient. Length of each book is required.

2) Not Sufficient. Avg is at most 3/2 inches. Therefore total length of 25 books is at most 25*(3/2) = 37.5 inches. Length of the shelf is required.

1&2) Not Sufficient. Length of the shelf = 36 inches. Total length of books is "atmost" 37.5 inches. So length can be 20 inches for example (which fits) or 37 inches (which doesn't).

Answer : E

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Re: Viggo has 25 hardcover books that he is arranging upright on the top   [#permalink] 20 Mar 2018, 07:27
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# Viggo has 25 hardcover books that he is arranging upright on the top

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