let's do puzzles: logic game #16

On a residential street there are exactly four houses on each side of the street.  Each house is constructed from exactly one type of building material--brick,wood, or adobe. Each Ouse has exactly one building style--split-level, ranch, or Tudor. On the north side of the street, from west toast, are houses 1, 2, 3, and 4. On the south side of the street, from west to east,  are houses 5, 6,7, and 8. The houses on the north side of the street face the houses on the south side of the street, such that house 1 faces house 5, house 2 faces house 6, house 3 faces house 7, and house 4 faces house 8. The following conditions also apply:

   On each side of the street, there must be at least one house of each style and material.

   A house cannot be of the same style or material as a house that is next to it or directly across from it.
There is exactly one brick house on each side of the street.
   House 3 is a ranch.
   House 8 is a Tudor.
   House 5 is made of brick.

SOLUTION:
1 b on each side
BWA - material
srt - style

1.   2.  3.  4 

            r.  s

--- ---- --- ---

B

             s  t   

--- --- --- ---

5.  6.  7.  8.

22. If there are exactly three ranch houses, then which one of the following must be true?

rrr

1. 2. 3. 4

r t r. s

--- ---- --- ---

B

s t

--- --- --- ---

5. 6. 7. 8.

(A) House 2 is a Tudor.

House 2 must be Tudor because of the rule 1, i.e., there must be at least one house and material on each side of the street.

23. If the house 2 is made of wood, for how many of the eight houses can be the exact building material determined?

BWA - material

  1. 2. 3. 4

             r. s 

--- --- --- --- 

 A   W

B.  A. W. A

           s t 

--- --- --- --- 

5. 6. 7. 8.

1, 2, 5, 6, 7, 8= 6 houses can be determined

(C) six

Note: Pay attention to the interplay of rules aka sudoku style.