It is currently 19 Oct 2017, 15:42

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

During the 31-day month of May, a tuxedo shop rents a different number

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

Hide Tags

2 KUDOS received
Intern
Intern
avatar
Joined: 01 Oct 2014
Posts: 46

Kudos [?]: 279 [2], given: 188

Reviews Badge
During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 21 Sep 2015, 03:33
2
This post received
KUDOS
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (01:37) correct 38% (01:17) wrong based on 217 sessions

HideShow timer Statistics

During the 31-day month of May, a tuxedo shop rents a different number of tuxedos each day, including a store-record 55 tuxedos on May 23rd. Assuming that the shop had an unlimited inventory of tuxedos to rent, what is the maximum number of tuxedos the shop could have rented during May?

A 1240
B 1295
C 1650
D 1705
E 1760

I was unable to solve this question can anyone please guide how to solve it ?


Press +1 if you like the post
[Reveal] Spoiler: OA

Kudos [?]: 279 [2], given: 188

3 KUDOS received
Manager
Manager
avatar
Joined: 29 Jul 2015
Posts: 159

Kudos [?]: 184 [3], given: 59

GMAT ToolKit User
Re: During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 21 Sep 2015, 04:26
3
This post received
KUDOS
5
This post was
BOOKMARKED
amatya wrote:
During the 31-day month of May, a tuxedo shop rents a different number of tuxedos each day, including a store-record 55 tuxedos on May 23rd. Assuming that the shop had an unlimited inventory of tuxedos to rent, what is the maximum number of tuxedos the shop could have rented during May?

A 1240
B 1295
C 1650
D 1705
E 1760

I was unable to solve this question can anyone please guide how to solve it ?


Press +1 if you like the post


There are 31 days in may. On each day shop rents different number of tuxedo.
Store record is of 55 rented tuxedo on a day i.e Maximum number of tuxedos rented on any day in may was 55.
To maximize the sum of tuxedos rented, we must maximize the number of tuxedos rented per day.
This can be done by taking consecutive numbers starting with 55 and decreasing in number by 1 for each day. (55,54,53,52...)
Now,
the lowest number of tuxedos sold on any day will be (55-31)+1 = 25
So the sum of tuxedos will be
\(Average*Total Number Of Terms\) or \(Total Number Of Terms*(first+last)/2\)
= 31*(25+55)/2
= 31*40
=1240

Answer:- A

Kudos [?]: 184 [3], given: 59

1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 15 Oct 2015
Posts: 367

Kudos [?]: 157 [1], given: 211

Concentration: Finance, Strategy
GPA: 3.93
WE: Account Management (Education)
GMAT ToolKit User
Re: During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 16 Feb 2016, 01:04
1
This post received
KUDOS
amatya wrote:
During the 31-day month of May, a tuxedo shop rents a different number of tuxedos each day, including a store-record 55 tuxedos on May 23rd. Assuming that the shop had an unlimited inventory of tuxedos to rent, what is the maximum number of tuxedos the shop could have rented during May?

A 1240
B 1295
C 1650
D 1705
E 1760

I was unable to solve this question can anyone please guide how to solve it ?


Press +1 if you like the post



I failed it too the first time, but i later realized how i should have analysed the question better.


For a 31 day period there are 31 different numbers to add up: the sum is the solution to the problem.
this is because it asks you the MOST(maximum) amount (not just any amount) and no amount is repeated.
you biggest number is already given- 55.
so you count down from 55 and get the other 30 integers. long process.
for short is 55 - 30 equals 25.
Sum of consecutive integers = the middle number(median) \(*\) N(number of digits).
middle number from 25 thru 55 is 40 (say, 25, 30, 35, 40, 45, 50, 55)
Sum = 40 * 31 (31 is number of days)
1240 - answer

give some kudos

Kudos [?]: 157 [1], given: 211

1 KUDOS received
VP
VP
User avatar
S
Joined: 18 Sep 2014
Posts: 1205

Kudos [?]: 866 [1], given: 75

Location: India
GMAT ToolKit User Premium Member Reviews Badge
During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 16 Jun 2016, 10:51
1
This post received
KUDOS
During the 31-day month of May, a tuxedo shop rents a different number of tuxedos each day, including a store-record 55 tuxedos on May 23rd. Assuming that the shop had an unlimited inventory of tuxedos to rent, what is the maximum number of tuxedos the shop could have rented during May?

A. 1240
B. 1295
C. 1650
D. 1705
E. 1760
_________________

The only time you can lose is when you give up. Try hard and you will suceed.
Thanks = Kudos. Kudos are appreciated

http://gmatclub.com/forum/rules-for-posting-in-verbal-gmat-forum-134642.html
When you post a question Pls. Provide its source & TAG your questions
Avoid posting from unreliable sources.


My posts
http://gmatclub.com/forum/beauty-of-coordinate-geometry-213760.html#p1649924
http://gmatclub.com/forum/calling-all-march-april-gmat-takers-who-want-to-cross-213154.html
http://gmatclub.com/forum/possessive-pronouns-200496.html
http://gmatclub.com/forum/double-negatives-206717.html
http://gmatclub.com/forum/the-greatest-integer-function-223595.html#p1721773
https://gmatclub.com/forum/improve-reading-habit-233410.html#p1802265

Kudos [?]: 866 [1], given: 75

Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2015
Posts: 388

Kudos [?]: 100 [0], given: 10

Concentration: Strategy, General Management
During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 17 Jun 2016, 03:01
another approach !!

since the number tuxedos has to be different on each day.

max tuxedos = maximum (55) + (multiply 54 with the remaining no of days) - ( subtract the difference (Arithmetic progression) from the 30 days of 54 tuxedos)

max tuxedos = 55 + (54*30) - 29(30)/2 = 1675 - 435 = 1240

Kudos [?]: 100 [0], given: 10

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 332

Kudos [?]: 112 [1], given: 36

Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 23 Jun 2016, 16:01
1
This post received
KUDOS
Since the maximum is 55 and everyday is distinct , just list(not literally) for the 31 days, 55 + 54 + ..... 25 (for 31 days) . Use the formula for Sum of series (AP) and it will be 1240.

Kudos [?]: 112 [1], given: 36

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16652

Kudos [?]: 273 [0], given: 0

Premium Member
Re: During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 03 Jul 2017, 08:23
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

Manager
Manager
avatar
B
Joined: 07 Jun 2017
Posts: 111

Kudos [?]: 3 [0], given: 454

Re: During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 22 Aug 2017, 12:01
can anyone tell me which word states that "55" is the maximum?

Kudos [?]: 3 [0], given: 454

Intern
Intern
avatar
B
Joined: 20 Sep 2015
Posts: 22

Kudos [?]: 3 [0], given: 46

Re: During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 06 Sep 2017, 01:06
pclawong wrote:
can anyone tell me which word states that "55" is the maximum?


"a store-record 55 tuxedos on May 23rd."

Kudos [?]: 3 [0], given: 46

Director
Director
User avatar
G
Joined: 13 Mar 2017
Posts: 522

Kudos [?]: 120 [0], given: 62

Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: During the 31-day month of May, a tuxedo shop rents a different number [#permalink]

Show Tags

New post 06 Sep 2017, 03:01
amatya wrote:
During the 31-day month of May, a tuxedo shop rents a different number of tuxedos each day, including a store-record 55 tuxedos on May 23rd. Assuming that the shop had an unlimited inventory of tuxedos to rent, what is the maximum number of tuxedos the shop could have rented during May?

A 1240
B 1295
C 1650
D 1705
E 1760

I was unable to solve this question can anyone please guide how to solve it ?


Press +1 if you like the post


Sure I would be happy to help ..
Different number of tuxedos was rented each day.
Max no. rented is 55
Also we have to take max value for each other days to maximize the overall value.

So, other days can have 54, 53, 52,.......,25 tuxedos rented.
So, we need calculate a total of 55+54+53+52+.... +26+25 which is sum A.P , 1st term = 25 c.d. = 1 and last term is 55
Sum = n/2*(first term + last term ) = 31/2 * (25+55) = 31*40 = 1240

Answer A
_________________

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

Kudos [?]: 120 [0], given: 62

Re: During the 31-day month of May, a tuxedo shop rents a different number   [#permalink] 06 Sep 2017, 03:01
Display posts from previous: Sort by

During the 31-day month of May, a tuxedo shop rents a different number

  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®.