Multiple choice

Directions: Study the following information carefully to answer the question: 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:

  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 colour chimney as the colour of the roof.
  4. No house may use any of the same colours that the next house on each side uses.
  5. House E has a green roof.
  6. House B has a red roof and a black chimney.

If house C has a yellow roof, which one of the following is true?

  1. House E has a white chimney.

  2. House E has a black chimney.

  3. House E has a red chimney.

  4. House D has a red chimney.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If C has yellow roof, C's chimney must be white or black (not yellow). House B has red roof + black chimney. Since C (yellow roof) is adjacent to B, C cannot have black chimney (B already has black). Therefore C has white chimney. D (between C and E) cannot have white chimney (C has it) or black chimney (B has it), so D has red chimney. E (green roof) cannot have red chimney (adjacent to D with red chimney), so E has white chimney.

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