NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 20:11 It is currently 26 Apr 2024, 20:11
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

How many different three-digit multiples of 5 can be

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
beckee529
Senior Manager
Senior Manager
Joined: 11 Jun 2007
Posts: 402
Own Kudos [?]: 1748 [9]
Given Kudos: 0
Send PM
How many different three-digit multiples of 5 can be [#permalink] New post   Updated on: 21 May 2023, 11:39
1
Kudos
8
Bookmarks
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

77% (01:06) correct 23% (01:14) wrong based on 274 sessions
Hide Show timer Statistics
How many distinct three-digit positive multiples of 5 can be formed from the digits 2, 3, 4, and 5 without repeating any digit?

A. 3
B. 6
C. 10
D. 12
E. 18

Experience a GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
GMAT Club Tests Check Our Products Try Free Tests
ShowHide Answer
Official Answer
B

Originally posted by beckee529 on 28 Oct 2007, 13:19.
Last edited by Bunuel on 21 May 2023, 11:39, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
User avatar
beckee529
Senior Manager
Senior Manager
Joined: 11 Jun 2007
Posts: 402
Own Kudos [?]: 1748 [0]
Given Kudos: 0
Send PM
Re: How many different three-digit multiples of 5 can be [#permalink] New post   28 Oct 2007, 13:31
never mind i think i got it.

since we can only use 2,3,4, and 5. units digit must be 5

so for possible combinations of xy5

it would be 235, 325, 245, 425, 345, 435

answer 6
User avatar
bmwhype2
VP
VP
Joined: 21 Jan 2007
Posts: 1346
Own Kudos [?]: 5012 [0]
Given Kudos: 4
Location: New York City
Send PM
Re: How many different three-digit multiples of 5 can be [#permalink] New post   19 Nov 2007, 09:37
GMAT TIGER wrote:
beckee529 wrote:
How many different three-digit multiples of 5 can be composed of digits 2, 3, 4, and 5 if none of the digits is repeated?

3
6
10
12
18


= 3c2 x 2 = 6


can you explain your method. i solved it differently

XYZ, where Z must be 5. therefore 1 variation of digit in Z.
Y can be any of the 3 possible choices.
X can be any of the 2 possible choices.

2+3+1= 6
User avatar
legitpro
Intern
Intern
Joined: 02 Aug 2013
Posts: 14
Own Kudos [?]: 26 [0]
Given Kudos: 1
Send PM
Re: How many different three-digit multiples of 5 can be [#permalink] New post   16 Dec 2013, 20:52
I don't get why the combination is multiplied by two? i solved by writing out the different possibilities
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14831
Own Kudos [?]: 64941 [3]
Given Kudos: 427
Location: Pune, India
Send PM
Re: How many different three-digit multiples of 5 can be [#permalink] New post   16 Dec 2013, 21:46
2
Kudos
1
Bookmarks
Expert Reply
legitpro wrote:
I don't get why the combination is multiplied by two? i solved by writing out the different possibilities


Available: 2, 3, 4, 5

You need to make 3 digit numbers which are multiples of 5.
___ ___ ___

For the number to be a multiple of 5, it must end with either 0 or 5. We only have 5 available so the number must end with 5.

___ ___ 5

Now you select 2 numbers out of the leftover 3 numbers (2, 3 and 4) in 3C2 ways and arrange them in the 2 places in 2! ways which gives you 3C2*2! = 6

or you can say that you can select a number for the hundreds place in 3 ways and select a number for the tens place in 2 ways (since numbers cannot be repeated). So you can make the number in 3*2 = 6 ways
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619255 [0]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: How many different three-digit multiples of 5 can be [#permalink] New post   21 May 2023, 11:40
Expert Reply
beckee529 wrote:
How many distinct three-digit positive multiples of 5 can be formed from the digits 2, 3, 4, and 5 without repeating any digit?

A. 3
B. 6
C. 10
D. 12
E. 18


The units digit must be 5 for the number to be a multiple of 5: _ _ 5. This leaves us with three choices for the hundreds digit: 2, 3, or 4. Subsequently, we're left with two choices for the tens digit. Therefore, we can form 3*2 = 6 such numbers.


Answer: B
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: How many different three-digit multiples of 5 can be [#permalink] New post   21 May 2023, 11:51
Ways to arrange numbers
2,3,4 : 3!
Last digit has to be 5
3!*1
Option B


beckee529 wrote:
How many distinct three-digit positive multiples of 5 can be formed from the digits 2, 3, 4, and 5 without repeating any digit?

A. 3
B. 6
C. 10
D. 12
E. 18


Posted from my mobile device
GMAT Club Bot
gmatclubot
Re: How many different three-digit multiples of 5 can be [#permalink]
21 May 2023, 11:51
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions