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average- gmatprep2 question

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average- gmatprep2 question [#permalink]

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New post 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?
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15

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Re: average- gmatprep2 question [#permalink]

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New post 03 Aug 2009, 06:15
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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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Re: average- gmatprep2 question [#permalink]

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New post 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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Re: average- gmatprep2 question [#permalink]

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New post 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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Re: average- gmatprep2 question [#permalink]

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New post 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

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