Please answer : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 09 Dec 2016, 18:27

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Manager
Joined: 01 Jul 2010
Posts: 52
Schools: LBS, Harvard, Booth, Stanford, ISB, NTU
WE 1: S/W Engineer
Followers: 0

Kudos [?]: 44 [1] , given: 15

Show Tags

20 Aug 2010, 01:05
1
KUDOS
00:00

Difficulty:

(N/A)

Question Stats:

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

HideShow timer Statistics

Attachment:

Untitled.jpg [ 98.4 KiB | Viewed 1654 times ]
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 35932
Followers: 6860

Kudos [?]: 90101 [1] , given: 10413

Show Tags

20 Aug 2010, 06:35
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.
_________________
Manager
Joined: 01 Jul 2010
Posts: 52
Schools: LBS, Harvard, Booth, Stanford, ISB, NTU
WE 1: S/W Engineer
Followers: 0

Kudos [?]: 44 [0], given: 15

Show Tags

20 Aug 2010, 07:18
Wow, Couldn't ask for a better explanation!! Thanks a ton!
Intern
Joined: 11 Jul 2010
Posts: 35
Followers: 0

Kudos [?]: 40 [0], given: 6

GMAT PREP Question [#permalink]

Show Tags

04 Sep 2010, 02:37
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: 35
Followers: 0

Kudos [?]: 40 [0], given: 6

Re: GMAT PREP Question [#permalink]

Show Tags

06 Sep 2010, 09:30
Bunuel wrote:
Merging similar topics.

Thanks a lot. I got the explanation...
Intern
Joined: 25 Oct 2010
Posts: 46
WE 1: 3 yrs
Followers: 0

Kudos [?]: 115 [0], given: 13

Show Tags

13 Nov 2010, 11:31
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, 11:31
Similar topics Replies Last post
Similar
Topics:
For each of the following, could the answer be an integer if 2 06 Nov 2012, 09:43
2 Answer. Quicker. 3 14 Nov 2011, 10:48
Test Answers Correct 3 11 Mar 2011, 10:31
Very good PS set with answers! 1 22 Feb 2011, 15:28
Weird Answer 9 11 Apr 2010, 13:25
Display posts from previous: Sort by