|
Author |
Message |
|
TAGS:
|
|
|
Manager
Joined: 01 Jul 2010
Posts: 53
Schools: LBS, Harvard, Booth, Stanford, ISB, NTU
WE 1: S/W Engineer
Followers: 0
Kudos [?]:
3
[1] , given: 15
|
1
This post received
KUDOS
Question Stats:
100% (02:26) correct
0% (00:00) wrong based on 0 sessions
Please help. Attachment: 
Untitled.jpg [ 98.4 KiB | Viewed 930 times ]
|
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11506
Followers: 1791
Kudos [?]:
9526
[1] , given: 826
|
1
This post received
KUDOS
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. Answer: D. Hope it's clear.
_________________
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Manager
Joined: 01 Jul 2010
Posts: 53
Schools: LBS, Harvard, Booth, Stanford, ISB, NTU
WE 1: S/W Engineer
Followers: 0
Kudos [?]:
3
[0], given: 15
|
Wow, Couldn't ask for a better explanation!! Thanks a ton!
|
|
|
|
|
|
Intern
Joined: 11 Jul 2010
Posts: 37
Followers: 0
Kudos [?]:
1
[0], given: 6
|
GMAT PREP Question [#permalink]
 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: 37
Followers: 0
Kudos [?]:
1
[0], given: 6
|
Re: GMAT PREP Question [#permalink]
06 Sep 2010, 10:30
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 [?]:
5
[0], given: 13
|
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
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
close
