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

It is currently 16 Jun 2019, 21:53

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

A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from

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

Hide Tags

 
Read Only User
Read Only User
avatar
G
Joined: 25 Dec 2018
Posts: 148
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from  [#permalink]

Show Tags

New post 06 Jan 2019, 10:40
3
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

56% (03:30) correct 44% (02:43) wrong based on 31 sessions

HideShow timer Statistics

A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from 25 to 180 were occupied and the rest were vacant. Two attendants, Kris and Michel, were given the duty of room service of occupied rooms. Each room numbered multiple of 3 was assigned to Kris and each room numbered multiple of 4 was given to Michel. If the rooms which were common for Kris and Michel, and rest of the unassigned occupied rooms were assigned to a third attendant named George, how many rooms were assigned to George?

A. 82
B. 98
C. 99
D. 100
E. 91
Director
Director
User avatar
D
Joined: 18 Jul 2018
Posts: 939
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member Reviews Badge CAT Tests
Re: A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from  [#permalink]

Show Tags

New post 06 Jan 2019, 22:23
Total number of occupied rooms = 180-25+1 = 156
Multiple of 3 for Kris = 27 to 180. Number of rooms = (180-27)/3 + 1 = 52.
Multiple of 4 for Michel = 28 to 180. Number of rooms = (180-28)/4 + 1 = 39.
Rooms common for both Kris and Michel = LCM(3,4) = Multiple of 12 from 25 to 180, i.e, 36 to 180. = (180-36)/12 + 1 = 13.
Number of rooms for George = 156-52-39+13 = 78.

akurathi12, Are the options correct?
_________________
Press +1 Kudo If my post helps!
Intern
Intern
avatar
B
Joined: 02 May 2018
Posts: 3
Location: Bangladesh
A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from  [#permalink]

Show Tags

New post Updated on: 07 Jan 2019, 02:09
2
Afc0892 wrote:
Rooms common for both Kris and Michel = LCM(3,4) = Multiple of 12 from 25 to 180, i.e, 36 to 180. = (180-36)/12 + 1 = 13.
Number of rooms for George = 156-52-39+13 = 78.

13 rooms are common to both Kris and Michel. So Kris served 52-13=39 rooms and Michel served 39-13=26 rooms.
George served=156-39-26=91 rooms.

Hope this helps.

Correct me if I am wrong.

Originally posted by Mahfuz1469 on 06 Jan 2019, 23:52.
Last edited by Mahfuz1469 on 07 Jan 2019, 02:09, edited 1 time in total.
Manager
Manager
avatar
B
Joined: 28 Mar 2017
Posts: 57
Location: Sweden
Concentration: Finance, Statistics
Re: A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from  [#permalink]

Show Tags

New post 07 Jan 2019, 01:59
2
Mahfuz1469 wrote:
Afc0892 wrote:
Rooms common for both Kris and Michel = LCM(3,4) = Multiple of 12 from 25 to 180, i.e, 36 to 180. = (180-36)/12 + 1 = 13.
Number of rooms for George = 156-52-39+13 = 78.

13 rooms are common to both Kris and Michel. So Kris served 52-13=39 rooms and Michel served 39-26=13 rooms.
George served=156-39-26=91 rooms.

Hope this helps.

Correct me if I am wrong.


I believe you meant to type Michael served 39-13=26, not 39 - 26=13,that would make sense!

Posted from my mobile device
_________________
* * *
Wish my good luck for 700 before Christmas!
If you think my post provided any help, please give +1 kudos, it helps a lot! <3
Intern
Intern
avatar
B
Joined: 02 May 2018
Posts: 3
Location: Bangladesh
A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from  [#permalink]

Show Tags

New post 07 Jan 2019, 02:05
1
Mahfuz1469 wrote:
Afc0892 wrote:
13 rooms are common to both Kris and Michel. So Kris served 52-13=39 rooms and Michel served 39-26=13 rooms.
George served=156-39-26=91 rooms.

Hope this helps.

Correct me if I am wrong.


I believe you meant to type Michael served 39-13=26, not 39 - 26=13,that would make sense!

Posted from my mobile device

Yeah. Sorry for my silly mistake. Thank you for your correction.
Read Only User
Read Only User
avatar
G
Joined: 25 Dec 2018
Posts: 148
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
Re: A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from  [#permalink]

Show Tags

New post 07 Jan 2019, 09:31
1
Mahfuz1469 wrote:
Afc0892 wrote:
Rooms common for both Kris and Michel = LCM(3,4) = Multiple of 12 from 25 to 180, i.e, 36 to 180. = (180-36)/12 + 1 = 13.
Number of rooms for George = 156-52-39+13 = 78.

13 rooms are common to both Kris and Michel. So Kris served 52-13=39 rooms and Michel served 39-13=26 rooms.
George served=156-39-26=91 rooms.

Hope this helps.

Correct me if I am wrong.

Your approach is correct. OA also same
GMAT Club Bot
Re: A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from   [#permalink] 07 Jan 2019, 09:31
Display posts from previous: Sort by

A hotel had 180 rooms numbered from 1 to 180. The rooms numbered from

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


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne