Directions : Five houses lettered \(A, B, C, D\) and \(E\) are built in a row next to each other. The houses are lined up in the order A, B, C, D and E. Each of the five houses have colored roots and chimneys. The root 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 adjacent house uses. \[\] 5. House E has a green roof. \[\] 6. House B has a red roof and a black chimney. \[\] Which of the following is true?
Step-by-step Solution:
The colour of B's roof and Chimney is Red and Black so the colour of Chimney of \(A\) and \(C\) can not be Red and Black so it has to be white. \[\begin{array}{|l|l|l|l|l|l|} \hline & A & B & C & D & E \\ \hline Roof & Green & Red & Green & Yellow & Green \\ \hline Chimney & White & Black & White & Blue & Red \\ \hline \end{array}\]\[\]Choice (C)\[\]