Aspire Faculty ID #16474 · Topic: NIMCET 2009 · Just now
NIMCET 2009

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 coloured roofs and chimneys. The roof and chimney of each house must be painted as follows:

The roof must be painted either green, red, or yellow.
The chimney must be painted either white, black, or red.
No house may have the same colour chimney as the colour of roof.
No house may use any of the same colours that the every next house uses.
House E has a green roof.
House B has a red roof and a black chimney.
Which possible combinations of roof & chimney can a house have?
i.A red roof & a black chimney.
ii.A yellow roof & a red chimney.
ii.A yellow roof & a black chimney.

Solution

A house cannot have roof and chimney of the same colour.
All three combinations satisfy this rule.
So all are possible.

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