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Manager
Joined: 01 Jul 2010
Posts: 51
Schools: LBS, Harvard, Booth, Stanford, ISB, NTU
WE 1: S/W Engineer
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Kudos [?]: 49 [1] , given: 15

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20 Aug 2010, 02:05
1
KUDOS
00:00

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Question Stats:

86% (02:11) correct 14% (00:03) wrong based on 7 sessions

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[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 39040
Followers: 7750

Kudos [?]: 106490 [1] , given: 11626

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20 Aug 2010, 07:35
1
KUDOS
Expert's post
In a class of 30 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?

A. 3
B. 5
C. 8
D. 13
E. 15

"The average number of books per student was 2" means that total of 2*30=60 books were borrowed;
2+12+10=24 students borrowed total of 2*0+12*1+10*2=32 books;
So 60-32=28 books are left to distribute among 30-24=6 students, these 6 are "the rest who borrowed at least 3 books";

To maximize the number of books one student from above 6 could have borrowed we should minimize the number of books other 5 students from 6 could have borrowed. Minimum these 5 students could have borrowed is 3 books per student, so total number of books they could have borrowed is 5*3=15 books. So the 6th student could have borrowed is 28-15=13 books.

Hope it's clear.
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Manager
Joined: 01 Jul 2010
Posts: 51
Schools: LBS, Harvard, Booth, Stanford, ISB, NTU
WE 1: S/W Engineer
Followers: 0

Kudos [?]: 49 [0], given: 15

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20 Aug 2010, 08:18
Wow, Couldn't ask for a better explanation!! Thanks a ton!
Intern
Joined: 11 Jul 2010
Posts: 34
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Kudos [?]: 43 [0], given: 6

GMAT PREP Question [#permalink]

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04 Sep 2010, 03:37
In a class of 30 students, following is the information provide:

2 students - no books borrowed
12 students - 1 book borrowed
10 students - 2 books borrowed
Rest of the students - 3 books borrowed

The average (Arithematic Mean) of the books borrowed per student = 2. What is the maximum number of books that any student could have borrowed?

a) 3
b) 5
c) 8
d) 13
e) 15
Intern
Joined: 11 Jul 2010
Posts: 34
Followers: 0

Kudos [?]: 43 [0], given: 6

Re: GMAT PREP Question [#permalink]

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06 Sep 2010, 10:30
Bunuel wrote:
Merging similar topics.

Thanks a lot. I got the explanation...
Intern
Joined: 25 Oct 2010
Posts: 47
WE 1: 3 yrs
Followers: 0

Kudos [?]: 131 [0], given: 13

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13 Nov 2010, 12:31
In a class of 30 students, 2 students did not borrow any book from the library, 12 students each borrowed 1 book,10 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed?

A. 3
B. 5
C. 8
D. 13
E. 15
Class-students   [#permalink] 13 Nov 2010, 12:31
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