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average- gmatprep2 question

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Intern
Joined: 03 Jun 2009
Posts: 49

Kudos [?]: 14 [0], given: 7

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03 Aug 2009, 04:33
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Hey folks, can any one throw some light on the below Q

In a class of 30 students, 2 students didn’t borrow any books from the library, 12 students borrowed 1 book, and the rest of the students borrowed at least 3 books. If the average number of books borrowed per student were 2, what is the maximum number of books that any student could have borrowed?
3
5
8
13
15

Kudos [?]: 14 [0], given: 7

Current Student
Joined: 12 Jun 2009
Posts: 1837

Kudos [?]: 273 [1], given: 52

Location: United States (NC)
Concentration: Strategy, Finance
Schools: UNC (Kenan-Flagler) - Class of 2013
GMAT 1: 720 Q49 V39
WE: Programming (Computer Software)

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03 Aug 2009, 06:15
1
KUDOS
3.

we know total books is 2 x 30 = 60. we know 2 students borrowed 0 and 12 borrowed 1 so 60-12 = 48. now we have 16 left with 3 each (at least) so 3 x 16=48 so max is 3
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Kudos [?]: 273 [1], given: 52

Intern
Joined: 03 Jun 2009
Posts: 49

Kudos [?]: 14 [0], given: 7

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03 Aug 2009, 10:26
shaselai wrote:
3.

we know total books is 2 x 30 = 60. we know 2 students borrowed 0 and 12 borrowed 1 so 60-12 = 48. now we have 16 left with 3 each (at least) so 3 x 16=48 so max is 3

-------------------

Hey shaselai...iam sorry, i missed an important part of the Question while typing. here it goes...

In a class of 30 students, 2 students didn’t borrow any books 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 number of books borrowed per student were 2, what is the maximum number of books that any student could have borrowed?
3
5
8
13
15

[Reveal] Spoiler:
OA:13

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Manager
Joined: 16 Apr 2009
Posts: 231

Kudos [?]: 101 [0], given: 10

Schools: Ross

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03 Aug 2009, 10:40
Quote:
In a class of 30 students, 2 students didn’t borrow any books 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 number of books borrowed per student were 2, what is the maximum number of books that any student could have borrowed?
3
5
8
13
15

Total 60 books for 30 students

2 students = no books
12 students x 1 = 12 books
10 students x 2= 20 books

60-(12+20)=60-32= 28 books left
30-(2+12+10)= 30-24= 6 students left

We knew that rest of the students took atleast 3 books
Consider 5 took 3 books and one student took the maxium number of books
5x3=15

28-15=13
so the maxiumum number of books taken by a single student is 13 hence D
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SVP
Joined: 05 Jul 2006
Posts: 1750

Kudos [?]: 430 [0], given: 49

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04 Aug 2009, 02:50
In a class of 30 students, 2 students didn’t borrow any books 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 number of books borrowed per student were 2, what is the maximum number of books that any student could have borrowed?
3
5
8
13
15

2...0
12...1 each
10...2 each
6...>=3 each

the maximum borrowed is by one of the 6 students, to know the max possibility minimize the books borrowed by the other 5 = 3*5 = 15

max books borrwed by the 6th = 60-(12+20+15) = 60-47 = 13

Kudos [?]: 430 [0], given: 49

Re: average- gmatprep2 question   [#permalink] 04 Aug 2009, 02:50
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