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

It is currently 19 May 2019, 05:51

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

On Tuesday, Kramer purchases exactly 3 new shirts, 2 new

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 01 Nov 2007
Posts: 125
GMAT ToolKit User
On Tuesday, Kramer purchases exactly 3 new shirts, 2 new  [#permalink]

Show Tags

New post 18 Jan 2008, 08:35
1
2
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (00:19) correct 0% (00:00) wrong based on 29 sessions

HideShow timer Statistics

On Tuesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
A.Tuesday
B. Wednesday
C.Thursday
D. Friday
E. Saturday

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Director
Director
User avatar
Joined: 12 Jul 2007
Posts: 833
Re: PS - Combinatorics  [#permalink]

Show Tags

New post 18 Jan 2008, 08:55
Quote:
1. To get the number of possible outfits we multiply the number of each new article of clothing together.

Image

Think of it this way. He has 3 ways to wear shirts S1, S2, S3 and 2 ways to wear his new sweaters W1, W2. Together this makes for 6 combinations:

S1-W1
S1-W2
S2-W1
S2-W2
S3-W1
S3-W2

He has 6 ways to wear the shirt and sweatshirt, then just multiply by 4 because he has 4 different hats he can wear was well.

Now we know he has 24 outfits to wear. Let's go about finding the day of the week:

He starts wearing the outfits on Wednesday. That means that in 7 days it will be Wednesday again and he will have gone through 7 outfits. In 21 days it will be Wednesday again and he will have gone through 21 outfits. This means Thursday he will have gone through 22. Friday 23. Saturday 24. He can't wear anything new on a Saturday.

Answer E


7-t58584 -- link to discussion about this problem from earlier this week 8-)
SVP
SVP
avatar
Joined: 29 Mar 2007
Posts: 2379
Re: PS - Combinatorics  [#permalink]

Show Tags

New post 18 Jan 2008, 15:57
JCLEONES wrote:
On Tuesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
A.Tuesday
B. Wednesday
C.Thursday
D. Friday
E. Saturday


Simple combinatorics. 2*3*4 = 24 days possible combinations.

Starts Wednesday. F=24 days. But we must count the next day so its

Saturday

E.
SVP
SVP
avatar
Joined: 04 May 2006
Posts: 1611
Schools: CBS, Kellogg
Re: PS - Combinatorics  [#permalink]

Show Tags

New post 18 Jan 2008, 19:40
GMATBLACKBELT wrote:
JCLEONES wrote:
On Tuesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
A.Tuesday
B. Wednesday
C.Thursday
D. Friday
E. Saturday


Simple combinatorics. 2*3*4 = 24 days possible combinations.

Starts Wednesday. F=24 days. But we must count the next day so its

Saturday

E.


Agree E,
But first I choose D, I missed the point of question asked. When I see it again, the point is "On which day is this no longer possible? "

Thanks guy!
_________________
Intern
Intern
avatar
Joined: 19 Jan 2008
Posts: 1
Re: PS - Combinatorics  [#permalink]

Show Tags

New post 19 Jan 2008, 15:53
Min number of days after Tuesday = 3*2*4 = 24

Last Day = Tuesday + mod(24,7) = Friday

So, the first day the condition fails falls on a Saturday.
Director
Director
User avatar
Joined: 03 Sep 2006
Posts: 771
GMAT ToolKit User
Re: PS - Combinatorics  [#permalink]

Show Tags

New post 19 Jan 2008, 23:46
JCLEONES wrote:
On Tuesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
A.Tuesday
B. Wednesday
C.Thursday
D. Friday
E. Saturday


Total number of combinations possible

\(3C1*2C1*4C1 = 24\)

For 24 days he can wear different combinations

( 1st day ) Wednesday + 7days ( another Wednesday) + 7days ( another Wednesday) +7days ( another Wednesday)+ Thursday +Friday

So from Saturday he finishes all his combinations and needs to go to market again :wink:
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 10947
Re: On Tuesday, Kramer purchases exactly 3 new shirts, 2 new  [#permalink]

Show Tags

New post 20 Jul 2017, 04:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
GMAT Club Bot
Re: On Tuesday, Kramer purchases exactly 3 new shirts, 2 new   [#permalink] 20 Jul 2017, 04:48
Display posts from previous: Sort by

On Tuesday, Kramer purchases exactly 3 new shirts, 2 new

  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®.