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Six Tenants Problem (Posted on 2006-08-25) Difficulty: 3 of 5
A group of six people live in the same apartment building. On a particular occasion, they got together one day for lunch. As part of their conversation, they discovered that each one lived on a different floor and that the amount of rent paid by each one of them was all different. Two facts immediately emerged out of the luncheon meeting. The higher the floor , the higher was the rent. The rent paid by one of the six people was $525.

The details of the six people are furnished below ( albeit not necessarily in that order).

First Names: Alice, Paul, Denise, Fiona, Sandra, Joe.

Last Names: Ackers, Pryor, Davidson, Johnson, Stevens, Falkin.

Floor: 12th, 14th, 17th, 21st, 24th, 25th.

Using the clues given below, determine the full names of the six renters, the floor on which each resides, and the amount of rent they each pay.

1. Ms. Johnson lives between Denise and Ackers.

2. The highest rent is not paid by Falkin, Stevens or Paul. It is $175 more than that of the 17th floor.

3. Floor 21 is rented at $75 more than where Ackers lives and $50 less than what Alice pays.

4. Sandra pays $475 which is $175 less than Ms. Davidson.

5. Pryor’s rent is $50 higher than Alice’s rent and $100 more than the rent paid by Joe.

6. The rent at the 12th floor is $450. No one with the initial P or A ( in either their first names or their surnames) lives there.

7. Stevens’ rent is lower than Johnson’s.

See The Solution Submitted by K Sengupta    
Rating: 4.2500 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution or Multiple solution | Comment 4 of 21 |
(In reply to Solution by Dej Mar)

Somehow I am getting multiple solutions.

Details given below. One is the same as yours.

Floor  Rent  Tenant
12th   450  Denise Stevens
14th   475  Sandra Johnson
17th   525  Paul Ackers
21st   600  Joe Falkin
24th   650  Alice Davidson
25th   700  Fiona Pryor 

Floor  Rent  Tenant
12th   450  Fiona Stevens/Falkins
14th   475  Sandra Falkins/Stevens
17th   525  Paul Ackers
21st   600  Joe Johnson
24th   650  Alice Davidson
25th   700  Denise Pryor 

Don't know the flaw.


  Posted by Salil on 2006-08-25 12:18:48
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