It is currently 25 Feb 2018, 07:54

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

Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam an

  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: 43904
Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam an [#permalink]

Show Tags

New post 02 Apr 2017, 23:34
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (00:39) correct 14% (00:21) wrong based on 36 sessions

HideShow timer Statistics

Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam and Diane must sit next to each other, how many different seating arrangements are possible on the bench?

A. 4
B. 8
C. 10
D. 48
E. 120
[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

1 KUDOS received
Senior Manager
Senior Manager
User avatar
G
Joined: 19 Apr 2016
Posts: 275
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
Re: Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam an [#permalink]

Show Tags

New post 03 Apr 2017, 01:25
1
This post received
KUDOS
Bunuel wrote:
Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam and Diane must sit next to each other, how many different seating arrangements are possible on the bench?

A. 4
B. 8
C. 10
D. 48
E. 120


Since Adam and Diane must sit next to each other, lets consider them as a single entity X.
Therefore we have Bob, Carol, Ed and X

different seating arrangements = 4! * 2! = 24*2 = 48

4! ==> ways to arrange Bob, Carol, Ed and X on a bench
2! ==> since Adam and Diane can switch the seats between themselves

Hence option D is correct
Hit Kudos if you liked it 8-)
BSchool Forum Moderator
avatar
P
Joined: 17 Jun 2016
Posts: 535
Location: India
GMAT 1: 720 Q49 V39
GMAT 2: 710 Q50 V37
GPA: 3.65
WE: Engineering (Energy and Utilities)
GMAT ToolKit User Premium Member Reviews Badge
Re: Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam an [#permalink]

Show Tags

New post 03 Apr 2017, 06:54
Bunuel wrote:
Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam and Diane must sit next to each other, how many different seating arrangements are possible on the bench?

A. 4
B. 8
C. 10
D. 48
E. 120


Since A & D must be together, we can consider total 4 entities (B,C, E & "AD")
thus ways to arrange these 4 = 4! = 24
and internally "AD" can be arranged in 2 ways
Hence, total ways = 24 x 2 = 48
_________________

Compilation of Blogs by Mike Mcgarry - Magoosh

Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2192
Location: United States (CA)
Re: Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam an [#permalink]

Show Tags

New post 06 Apr 2017, 08:34
Bunuel wrote:
Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam and Diane must sit next to each other, how many different seating arrangements are possible on the bench?

A. 4
B. 8
C. 10
D. 48
E. 120


Let’s denote Adam, Bob, Carol, Diane, and Ed as A, B, C, D, and E, respectively.

If Adam and Diane must sit together, we can consider them as one person [AD]. For example, one seating arrangement could be [AD][B][C][E]. Thus, the number of ways to arrange four people in a row is 4! = 24.

However, we must also account for the ways we can arrange Adam and Diane, which could be either [AD] or [DA], which is 2! = 2 ways.

Therefore, the total number of seating arrangements is 24 x 2 = 48.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam an   [#permalink] 06 Apr 2017, 08:34
Display posts from previous: Sort by

Adam, Bob, Carol, Diane, and Ed are all sitting on a bench. If Adam an

  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®.