Amelia, Beulah, Carrie, Dennis and Elwood attended a supper party with their spouses at Loverly's Restaurant. Chairs for the five couples were arranged around an L-shaped table as shown in the diagram below.

    
         a   
     +---------+        
     |         | 
     |         |   
    j|         |b    
     |         |      
     |         |    
     |         |
    i|         |c   
     |         |   
     |         |  d
     |         +---------+       
    h|                   |
     |                   |e
     |                   | 
     +-------------------+
        g        f 

At the table:

1. Amelia's husband sat next to Dennis' wife.
2. Beulah's husband was the only man who sat alone at one side of the table.
3. Carrie's husband was the only man who sat between two women.
4. No woman sat between two women.
5. Each man sat opposite his wife.
6. Elwood's wife sat on the Professor's right.

Who was the Professor?

Notes:

(i) "Between two women" means to the left of one woman and to the right of another woman, around the perimeter of the table.

(ii) Similarly "sat next to" means either immediately to the right or, immediately to the left of a given seat around the perimeter of the table. For example, chair-e and chair-f are next to each other.

Following are the possible solutions

A

• a) Beulah's Husband M ( Prof )
• b) Elwood M
• c) Carrie F
• d) Dennis's Wife F
• e) Amelia's Husband M
• f) Dennis M
• g) Beulah F
• h) Amelia F
• i) Carrie's Husband M
• j) Elwood's Wife

B

• a) Elwood's Wife F
• b) Carrie F ( prof )
• c) Dennis M
• d) Beulah's Husband M
• e) Amelia F
• f) Beulah F
• g) Elwood M
• h) Amelia's Husband M
• i) Dennis's Wife F
• j) Carrie's Husband M

C

• a) Amelia's Husband M
• b) Dennis M
• c) Carrie F
• d) Elwood's Wife F
• e) Beulah's Husband M ( prof )
• f) Elwood M
• g) Amelia F
• h) Beulah F
• i) Carrie's Husband M
• j) Dennis's Wife F

D

• a) Carrie F
• b) Amelia F
• c) Dennis M
• d) Elwood M
• e) Beulah's Husband M
• f) Elwood's Wife F
• g) Carrie's Husband M ( Prof )
• h) Beulah F
• i) Dennis's Wife F
• J) Amelia's Husband M

E

• a) Dennis M (prof)
• b) Elwood M
• c) Carrie F
• d) Amelia F
• e) Beulah's Husband M
• f) Amelia's Husband M
• g) Dennis's Wife F
• h) Beulah F
• i) Carrie's Husband M
• j) Elwood's Wife F

It was tough getting all options don't ask me how?? Used excel for help.

 

 

Posted by Salil on 2013-04-29 02:13:37