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

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There are 210 rooms in a hotel. All of the rooms are cleaned by  [#permalink]

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

Difficulty:

  35% (medium)

Question Stats:

77% (01:50) correct 23% (02:33) wrong based on 22 sessions

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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.

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Re: There are 210 rooms in a hotel. All of the rooms are cleaned by  [#permalink]

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New post 16 Feb 2019, 06:36
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.
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Re: There are 210 rooms in a hotel. All of the rooms are cleaned by  [#permalink]

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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.
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Re: There are 210 rooms in a hotel. All of the rooms are cleaned by   [#permalink] 19 Feb 2019, 04:17
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There are 210 rooms in a hotel. All of the rooms are cleaned by

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