Five houses lettered A,B,C,D, & E are built in a row next to each other. The houses are lined up
in the order
A,B,C,D, & E. Each of the five houses has a coloured chimney. The roof and chimney of each
house must be
painted as follows.
1. The roof must be painted either green,red ,or yellow.
2. The chimney must be painted either white, black, or red.
3. No house may have the same color chimney as the color of roof.
4. No house may use any of the same colors that the every next house uses.
5. House E has a green roof.
6. House B has a red roof and a black chimney

10.Which of the following is true ?
(A) At least two houses have black chimney.
(B) At least two houses have red roofs.
(C) At least two houses have white chimneys
(D) At least two houses have green roofs
(E) At least two houses have yellow roofs

11.Which must be false ?
(A) House A has a yellow roof
(B) House A & C have different colour chimney
(C) House D has a black chimney
(D) House E has a white chmney
(E) House B&D have the same color roof.

12.If house C has a yellow roof. Which must be true.
(A) House E has a white chimney
(B) House E has a balck chimney
(C) House E has a red chimney
(D) House D has a red chimney
(E) House C has a balck chimney

13.Which possible combinations of roof & chimney can house
I. A red roof 7 a black chimney
II. A yellow roof & a red chimney
III. A yellow roof & a black chimney
(A) I only (B) II only (C) III only (D) I & II only (E) I&II&III
14.What is the maximum total number of green roofs for houses

12.If house C has a yellow roof. Which must be true.
(A) House E has a white chimney
12 years agoHelpfull: Yes(5) No(3)

Read Solution (Total 6)