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 colored chimney. The roof and chimney of each house must be
painted as follows.
i. The roof must be painted
either green, red or yellow.
ii. The chimney must be painted
either white, black, or red.
iii. No house may have the same color
chimney as the color of roof.
iv. No house may use any of the same
colors that the very next house uses.
v. House E has a green roof.
vi. House B has a red roof and a black
chimney
1.
Which of the following must be 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) No two houses have same coloured chimneys
2.
Which must be false ?
a) House A has a yellow
roof
b) House A & C have different
color chimney
c) House D has a black chimney
d) House E has a white chimney
e) None of these
3.
If house C has a yellow roof. Which must
be true.
a) House D has a white roof
b) House E has a black chimney
c) House E has a red chimney
d) House D has a red chimney
e) House E has a white
chimney