Question

Six persons, A, B, C, D, E and F, live in six bungalows, three of which face North and three face South. The bungalows are named after six different flowers: Yarrow, Periwinkle, Rose, Orchid, Blue Star and White Primrose, not necessarily in that order. The following facts are known:
1. C lives in the Yarrow bungalow and faces South.
2. There is no bungalow to the left of White Primrose.
3. The bungalow of D is to the right of the bungalow opposite that of B.
4. The bungalow opposite C is Periwinkle.
5. The bungalow opposite B faces North and it is not Rose.
6. The Blue Star bungalow is to the immediate left of Rose, and it faces North.
7. E lives in a bungalow that is to the right of F.

Who lives in the Orchid bungalow?

• A. A
• B. B
• C. E
• D. D

Hint:

Work out which three flowers sit on the North side first, using the clue about the bungalow opposite C.

Answer 1

The Correct Option is B

Step 1: Set up the two facing rows.
Three bungalows face North and three face South, and each one has a bungalow directly opposite it on the other side of the road. Call the North side positions N1, N2, N3 from left to right, and the South side positions S1, S2, S3 from left to right, with N1 opposite S1, N2 opposite S2 and N3 opposite S3.

Step 2: Place the North side flowers.
Clue 4 says the bungalow opposite C is Periwinkle, and clue 1 says C faces South, so Periwinkle sits on the North side. Clue 6 says Blue Star is the immediate left of Rose and faces North, so Blue Star and Rose are also on the North side, sitting right next to each other. That already accounts for all three North slots: Periwinkle, Blue Star and Rose. This also fixes the South side as the remaining three flowers: Yarrow, Orchid and White Primrose.

Step 3: Fix the exact North order.
If Periwinkle were not the leftmost North bungalow, then Blue Star would have to take the leftmost North spot (since it sits immediately left of Rose). But clue 2 says White Primrose has nothing to its left, and White Primrose is a South side flower, so this only works cleanly if Periwinkle occupies the leftmost North spot, N1. That leaves Blue Star at N2 and Rose at N3, keeping Blue Star immediately left of Rose.

Step 4: Place the South side flowers.
Since Periwinkle sits at N1 and is opposite C, C sits at S1, in the Yarrow bungalow. The South row faces the opposite way to the North row, so a South bungalow's own sense of left runs the other way: the South row's leftmost bungalow is the one farthest from the North row's leftmost end, which is S3. White Primrose has nothing to its left, so White Primrose sits at S3, leaving Orchid at S2.

Step 5: Place B using clue 5.
Clue 5 says the bungalow opposite B faces North (confirming B sits on the South side) and is not Rose. Rose is at N3, so B cannot sit at S3. S1 already belongs to C, so B must sit at S2, which is the Orchid bungalow.

Final Answer:
B lives in the Orchid bungalow. \[ \boxed{\text{B}} \]