Q. Three men (Tom, Peter and Jack) and three women (Eliza, Anne and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses.
1. Anne, Tom and Jack do not want to stay in any cottage, which is at the end of the row.
2. Eliza and Anne are unwilling to stay besides any occupied cottage ..
3. Karen is next to Peter and Jack.
4. Between Anne and Jack's cottage there is just one vacant house.
5. None of the girls occUpy adjacent cottages.
6. The house occupied by Tom is next to an end cottage.
1. Which of the above statements can be said to have been derived from two other statements?
A. Statement 1 B. Statement 2 C.Statement 3 D.Statement 5
2. How many of them occupy cottages next to a vacant cottage?
A.2 B.3 C.4 D.5
3. which among these statements are true?
A.Anne is between Eliza and Jack.
B.At the most four persons can have occupied cottages on either side of them.
e.Tom stays besides Peter. D. I only.

• Let A = Anne, E = Eliza, K = Karen, T = Tom, P = Peter, J = Jack, _ = empty cottage.
  
  From #6, Tom is next to an end cottage.
  From #3, PKJ can't be in the end cottage next to Tom.
  From #2, AE can't be in the end cottage next to Tom.
  Hence, the end cottage next to Tom must be empty.
  
  From #2 and #1, _A_ are in a row.
  From #3, we have either PKJ or JKP in a row.
  From #2 and #1, and the fact that there are three empty cottages, we know E is in the end cottage not next to Tom.
  From #4, we know that J_A (or A_J) are in a row.
  
  Just a couple quick tries will now show that the answer is:
  
  _TPKJ_A_E
  
  (Or if you prefer, the mirror image E_A_JKPT_ also works).
  
  BTW, constraint 5 is unnecessary - we already know that from constraints 2 and 3.
• 11 years agoHelpfull: Yes(2) No(4)