It is currently 18 Jan 2018, 00:04

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

At a certain library, 12 students borrowed a total of 71 books. If the

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43314

Kudos [?]: 139355 [0], given: 12786

At a certain library, 12 students borrowed a total of 71 books. If the [#permalink]

Show Tags

New post 12 Dec 2017, 22:44
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (02:03) correct 44% (02:52) wrong based on 34 sessions

HideShow timer Statistics

GMAT CLUB'S FRESH CHALLENGE QUESTION:



At a certain library, 12 students borrowed a total of 71 books. If the range of the number of books borrowed per student was 5, which of the following CANNOT be the number of students who borrowed 6 books?

I. 9
II. 10
III. 11

A. I only
B. III only
C. II and III only
D. I and III only
E. I, II and III
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139355 [0], given: 12786

SC Moderator
User avatar
P
Joined: 13 Apr 2015
Posts: 1538

Kudos [?]: 1292 [0], given: 910

Location: India
Concentration: Strategy, General Management
WE: Information Technology (Consulting)
GMAT ToolKit User Premium Member CAT Tests
Re: At a certain library, 12 students borrowed a total of 71 books. If the [#permalink]

Show Tags

New post 13 Dec 2017, 06:51
x1 + x2 + .... + x12 (in ascending order) = 71

Range = 5

Question: which of the following CANNOT be the number of students who borrowed 6 books

Start from high to low

iii) Number of students who borrowed 6 books = 11 (Assume x2.....x12)--> x1 + 11 * 6 = 71 --> x1 = 5. Here Range is 1. Not possible.

ii) Number of students who borrowed 6 books = 10 (Assume x2.....x11) --> x1 + 10 * 6 + x12 = 71 --> x1 + x12 = 11 --> x1 = 3 and x12 = 8.
Range = 5. Possible

i) Number of students who borrowed 6 books = 9 (Assume x3......x11) --> x1 + x2 + 9*6 + x3 = 71 --> x1 = x2 = 4 and x3 = 9.
Range = 5. Possible

Answer: B

Kudos [?]: 1292 [0], given: 910

Re: At a certain library, 12 students borrowed a total of 71 books. If the   [#permalink] 13 Dec 2017, 06:51
Display posts from previous: Sort by

At a certain library, 12 students borrowed a total of 71 books. If the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.