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

It is currently 07 Dec 2019, 01:30

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

There are 210 rooms in a hotel. All of the rooms are cleaned by

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

Hide Tags

Find Similar Topics 
BSchool Forum Moderator
avatar
V
Joined: 29 Jan 2015
Posts: 1466
Location: India
WE: General Management (Non-Profit and Government)
GMAT ToolKit User Premium Member Reviews Badge
There are 210 rooms in a hotel. All of the rooms are cleaned by  [#permalink]

Show Tags

New post 16 Feb 2019, 05:48
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:49) correct 24% (02:15) wrong based on 45 sessions

HideShow timer Statistics

There are 210 rooms in a hotel. All of the rooms are cleaned by housekeepers. If each of the housekeepers cleans same number of rooms, how many housekeepers are there?

(1) Each of the housekeepers cleans an odd number of rooms.

(2) The number of the housekeepers is greater than the number of the rooms a housekeeper clean.
Intern
Intern
User avatar
B
Joined: 07 Jan 2018
Posts: 16
GMAT ToolKit User
Re: There are 210 rooms in a hotel. All of the rooms are cleaned by  [#permalink]

Show Tags

New post 16 Feb 2019, 06:36
1
Let number of housekeepers be K. Let number of rooms cleaned by each housekeeper be N
Given N*K=210= 2*3*5*7.

1) Each of the housekeepers cleans an odd number of rooms.
So, N can be 3,5,7,5*7,7*3,5*3,5*7*3.
Insufficient

2)The number of the housekeepers is greater than the number of the rooms a housekeeper clean.
K>N
Insufficient

Combining 1) and 2)
K>N and N is Odd
But by how much is K greater than N (We have two variables and only one equation)?
Insufficient.
Answer E.
Manager
Manager
avatar
G
Joined: 11 Mar 2018
Posts: 158
CAT Tests
Re: There are 210 rooms in a hotel. All of the rooms are cleaned by  [#permalink]

Show Tags

New post 19 Feb 2019, 04:17
rohan2345 wrote:
There are 210 rooms in a hotel. All of the rooms are cleaned by housekeepers. If each of the housekeepers cleans same number of rooms, how many housekeepers are there?

(1) Each of the housekeepers cleans an odd number of rooms.

(2) The number of the housekeepers is greater than the number of the rooms a housekeeper clean.


Please post the official answer. According to me answer should be [C].

I also considered the case of 210 x 1, that is 210 housekeepers and 1 room per housekeeper.

As far as I can understand it satisfies all conditions of the question.

Please help in pointing out any point that I may have missed while considering this.
Intern
Intern
avatar
B
Joined: 19 May 2019
Posts: 16
Re: There are 210 rooms in a hotel. All of the rooms are cleaned by  [#permalink]

Show Tags

New post 26 Sep 2019, 05:33
adstudy wrote:
rohan2345 wrote:
There are 210 rooms in a hotel. All of the rooms are cleaned by housekeepers. If each of the housekeepers cleans same number of rooms, how many housekeepers are there?

(1) Each of the housekeepers cleans an odd number of rooms.

(2) The number of the housekeepers is greater than the number of the rooms a housekeeper clean.


Please post the official answer. According to me answer should be [C].

I also considered the case of 210 x 1, that is 210 housekeepers and 1 room per housekeeper.

As far as I can understand it satisfies all conditions of the question.

Please help in pointing out any point that I may have missed while considering this.




HI,

There will be another option like 30*7,

In which 30 housekeepers and 7 rooms per house keeper. This also satisfies the both conditions...

And one more 42*5, 42 house keepers and 5 rooms per house keeper satisfies both options.

So even after combining we cannot find a unique solution of how many house keepers are available in hotel?

That's why, the correct answer is option E.

Hope the explanation helps.....
GMAT Club Bot
Re: There are 210 rooms in a hotel. All of the rooms are cleaned by   [#permalink] 26 Sep 2019, 05:33
Display posts from previous: Sort by

There are 210 rooms in a hotel. All of the rooms are cleaned by

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





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