Find all School-related info fast with the new School-Specific MBA Forum

It is currently 27 Jun 2016, 02:31
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

There are 15 questions in a test paper in which the question

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

Hide Tags

Manager
Manager
User avatar
Joined: 24 Aug 2012
Posts: 129
Followers: 2

Kudos [?]: 165 [0], given: 2

Reviews Badge
There are 15 questions in a test paper in which the question [#permalink]

Show Tags

New post 11 Nov 2012, 11:26
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 4 sessions

HideShow timer Statistics

There are 15 questions in a test paper in which the questions need to be correctly matched with 15 answer choices. A student is awarded 6 marks for a correct answer. What is the maximum number of students who give different sets of correct answers and get 66 marks in the test

a. 13600
b. 12285
c. 14480
d. 13845
e. None of these
_________________

Push +1 kudos button please, if you like my post

Director
Director
User avatar
Status:
Joined: 24 Jul 2011
Posts: 879
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Followers: 108

Kudos [?]: 453 [0], given: 16

Re: There are 15 questions in a test paper in which the question [#permalink]

Show Tags

New post 11 Nov 2012, 23:38
The number of ways to choose 11 questions to be answered correctly from the 15 = 15C11 = 1365
The number of ways of answering the 4 remaining questions wrongly = 4![1/2! - 1/3! + 1/4!] = 9 (derangement formula)

Therefore the maximum number of students = 1365 * 9 = 12285

Option (B)
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Manager
Manager
avatar
Joined: 26 Jul 2011
Posts: 125
Location: India
WE: Marketing (Manufacturing)
Followers: 1

Kudos [?]: 86 [0], given: 15

Re: There are 15 questions in a test paper in which the question [#permalink]

Show Tags

New post 12 Nov 2012, 00:27
GyanOne wrote:
The number of ways to choose 11 questions to be answered correctly from the 15 = 15C11 = 1365
The number of ways of answering the 4 remaining questions wrongly = 4![1/2! - 1/3! + 1/4!] = 9 (derangement formula)

Therefore the maximum number of students = 1365 * 9 = 12285

Option (B)



Hi Gyanone can you please explain this part?? " 4![1/2! - 1/3! + 1/4!]"
Re: There are 15 questions in a test paper in which the question   [#permalink] 12 Nov 2012, 00:27
    Similar topics Author Replies Last post
Similar
Topics:
3 A question paper consists of two sections A and B having respectively mac07 1 12 Dec 2014, 01:48
4 Experts publish their posts in the topic In a Question paper there are 4 multiple choice questions avaneeshvyas 6 18 Oct 2012, 13:54
10 Fractions Question From GMAT Club Test (m25#15) MitDavidDv 7 08 May 2011, 00:27
6 prep test question- combinations marcusaurelius 22 21 May 2010, 12:52
Experts publish their posts in the topic question from MGMAT test - MontrealLady 1 18 Apr 2010, 08:30
Display posts from previous: Sort by

There are 15 questions in a test paper in which the question

  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 and phpBB SEO

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®.