GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Apr 2019, 11:17

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

Using the letters A, M, O, S, and U, we can form five-letter "words".

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54376
Using the letters A, M, O, S, and U, we can form five-letter "words".  [#permalink]

Show Tags

New post 19 Mar 2019, 00:12
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

58% (02:30) correct 42% (02:03) wrong based on 19 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 05 Feb 2019
Posts: 2
Location: Indonesia
GPA: 3.3
Re: Using the letters A, M, O, S, and U, we can form five-letter "words".  [#permalink]

Show Tags

New post 19 Mar 2019, 00:32
1
Hi I will try to answer this,
Correct me if I'm wrong

5! = 120 rankings
arrange alphabetically

A**** = 1-24
M**** = 25-48
O**** = 49-72
S**** = 73-96
U**** = 97-120

Range 97-120

4!/4 = 6

The ranking as follows

UA*** = 97-102
UM*** = 103-108
UO*** = 109-114
US*** = 115-120

and since AMO follows the alphabetical order, it should be the first list on the US*** word list
USAMO should be Number 115

Answer D
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 3008
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Using the letters A, M, O, S, and U, we can form five-letter "words".  [#permalink]

Show Tags

New post 19 Mar 2019, 04:29
1
Bunuel wrote:
Using the letters A, M, O, S, and U, we can form five-letter "words". If these "words" are arranged in alphabetical order, then the "word" USAMO occupies position

(A) 112
(B) 113
(C) 114
(D) 115
(E) 116


total ways to arrange AMOSU = 5!= 120 WAYS
also for each starting alphabet we have total 120/5 = 24 ways each or say 4 position each for every string of letter ...
so until letter S we would have occupied 96 positions
for rest 24 positions ; from 97-114 = 18 would be occupied in series until we reach US..
so US series will start from 115 position
IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
GMAT Club Bot
Re: Using the letters A, M, O, S, and U, we can form five-letter "words".   [#permalink] 19 Mar 2019, 04:29
Display posts from previous: Sort by

Using the letters A, M, O, S, and U, we can form five-letter "words".

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.