It is currently 20 Nov 2017, 20:15

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

1234 1243 1324 ... ... 4321 The addition problem above shows

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
avatar
Joined: 11 May 2004
Posts: 453

Kudos [?]: 55 [0], given: 0

Location: New York
1234 1243 1324 ... ... 4321 The addition problem above shows [#permalink]

Show Tags

New post 10 Dec 2005, 20:34
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

1234
1243
1324
...
...
4321


The addition problem above shows four of the 24 different integers that cna be formed by usinng each of the digits 1,2,3, and 4 exactly once in each integer. What is the sum of these 24 integers?

a. 24000
b. 26664
c. 40440
d. 60000
e. 66660

Kudos [?]: 55 [0], given: 0

SVP
SVP
User avatar
Joined: 24 Sep 2005
Posts: 1883

Kudos [?]: 386 [0], given: 0

Re: Number Properties 2 [#permalink]

Show Tags

New post 10 Dec 2005, 21:04
desiguy wrote:
1234
1243
1324
...
...
4321


The addition problem above shows four of the 24 different integers that cna be formed by usinng each of the digits 1,2,3, and 4 exactly once in each integer. What is the sum of these 24 integers?

a. 24000
b. 26664
c. 40440
d. 60000
e. 66660



24 differents integers -----> 1,2,3,4 are in thousands digit six times each AND 1,2,3,4 are in hundreds digit six times each AND 1,2,3,4 are in tens digit six times each AND 1,2,3,4 are in unit digit six times each.

That is to say:
for digit 1: 6*( 1000+100+10+1)
for digit 2: 6* (2000+200+20+2)= 12 * (1000+100+10+1)
for digit 3: 6* ( 3000+300+30+3)= 18 * (1000+100+10+1)
for digit 4: 6*( 4000+400+40+4)= 24*(1000+100+10+1)

-----> the sum of these 24 numbers= (1000+100+10+1)* ( 6+12+18+24)
= 1111 * 60 = 66660

Kudos [?]: 386 [0], given: 0

Senior Manager
Senior Manager
avatar
Joined: 11 May 2004
Posts: 453

Kudos [?]: 55 [0], given: 0

Location: New York
 [#permalink]

Show Tags

New post 11 Dec 2005, 09:43
Good job. E is the OA.

Kudos [?]: 55 [0], given: 0

Director
Director
User avatar
Joined: 10 Oct 2005
Posts: 713

Kudos [?]: 26 [0], given: 0

Location: Madrid
 [#permalink]

Show Tags

New post 12 Dec 2005, 03:01

Kudos [?]: 26 [0], given: 0

Intern
Intern
avatar
Joined: 09 Sep 2005
Posts: 18

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

Re: Number Properties 2 [#permalink]

Show Tags

New post 12 Dec 2005, 03:08
desiguy wrote:
1234
1243
1324
...
...
4321


The addition problem above shows four of the 24 different integers that cna be formed by usinng each of the digits 1,2,3, and 4 exactly once in each integer. What is the sum of these 24 integers?

a. 24000
b. 26664
c. 40440
d. 60000
e. 66660


A=6*(1+2+3+4)*1000+6*(1+2+3+4)*100+6*(1+2+3+4)*10+6*(1+2+3+4)

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

Re: Number Properties 2   [#permalink] 12 Dec 2005, 03:08
Display posts from previous: Sort by

1234 1243 1324 ... ... 4321 The addition problem above shows

  post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderator: chetan2u



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®.