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27 Jul 2022, 16:00
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E
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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.
(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.
27 Jul 2022, 17:14
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210 = 2 x 3 x 5 x 7
Each housekeeper cleans the same number of rooms
How many housekeepers are there?
(1) Each of the housekeepers cleans an odd number of rooms.
10 housekeepers cleaning 21 rooms each
14 housekeepers cleaning 15 rooms each
Not sufficient
(2) The number of the housekeepers is greater than the number of the rooms a housekeeper clean.
21 housekeepers cleaning 10 rooms each
15 housekeepers cleaning 14 rooms each
Not sufficient
Both combined
Each housekeeper cleans an odd number of rooms and number of housekeepers is greater than the number of rooms each housekeeper cleans
30 housekeepers cleaning 7 rooms each
42 housekeepers cleaning 5 rooms each
Not sufficient
Answer - E
Posted from my mobile device
Each housekeeper cleans the same number of rooms
How many housekeepers are there?
(1) Each of the housekeepers cleans an odd number of rooms.
10 housekeepers cleaning 21 rooms each
14 housekeepers cleaning 15 rooms each
Not sufficient
(2) The number of the housekeepers is greater than the number of the rooms a housekeeper clean.
21 housekeepers cleaning 10 rooms each
15 housekeepers cleaning 14 rooms each
Not sufficient
Both combined
Each housekeeper cleans an odd number of rooms and number of housekeepers is greater than the number of rooms each housekeeper cleans
30 housekeepers cleaning 7 rooms each
42 housekeepers cleaning 5 rooms each
Not sufficient
Answer - E
Posted from my mobile device
27 Jul 2022, 21:57
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Prime factorisation of 210= 7*3*5*2
7 |210
3 |30
5 |10
2 |2
Using S1: Each of the housekeepers cleans an odd number of rooms.
No of rooms = No of housekeepers * No of rooms cleaned by each HK
No of housekeepers = (No of rooms)/(No of rooms cleaned by each HK)
Basically, the s1 is saying that the No of rooms cleaned by each HK is an odd no. so it could be 5, 7, 3 or 21, 35, etc
Hence not sufficient
S2: The number of the housekeepers is greater than the number of the rooms a housekeeper clean
No of rooms = No of housekeepers * No of rooms cleaned by each HK
No of housekeepers > No of rooms cleaned by each HK
So it can be like:
No of Rooms cleaned per HK = 5
No of housekeepers = 42
or
No of Rooms cleaned per HK = 7
No of housekeepers = 30
not sufficient
using both: Each housekeeper cleans an odd number of rooms and number of housekeepers is greater than the number of rooms each housekeeper cleans
again:
No of Rooms cleaned per HK = 5
No of housekeepers = 42
or
No of Rooms cleaned per HK = 7
No of housekeepers = 30
not sufficient
therefore E
7 |210
3 |30
5 |10
2 |2
Using S1: Each of the housekeepers cleans an odd number of rooms.
No of rooms = No of housekeepers * No of rooms cleaned by each HK
No of housekeepers = (No of rooms)/(No of rooms cleaned by each HK)
Basically, the s1 is saying that the No of rooms cleaned by each HK is an odd no. so it could be 5, 7, 3 or 21, 35, etc
Hence not sufficient
S2: The number of the housekeepers is greater than the number of the rooms a housekeeper clean
No of rooms = No of housekeepers * No of rooms cleaned by each HK
No of housekeepers > No of rooms cleaned by each HK
So it can be like:
No of Rooms cleaned per HK = 5
No of housekeepers = 42
or
No of Rooms cleaned per HK = 7
No of housekeepers = 30
not sufficient
using both: Each housekeeper cleans an odd number of rooms and number of housekeepers is greater than the number of rooms each housekeeper cleans
again:
No of Rooms cleaned per HK = 5
No of housekeepers = 42
or
No of Rooms cleaned per HK = 7
No of housekeepers = 30
not sufficient
therefore E
