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.

What is maximum total number of green roofs for houses?

  1. 1

  2. 2

  3. 3

  4. 4
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Maximum green roofs possible is 3. We can assign: A-green roof, B-red roof, C-green roof, D-yellow roof, E-green roof. Check adjacency: No two adjacent houses have same color (green at A and C are separated by B, green at C and E are separated by D). This arrangement satisfies all constraints with 3 green roofs.

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