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.

Which bungalow is the leftmost and faces North?

• A. Blue Star
• B. White Primrose
• C. Rose
• D. Periwinkle

Hint:

Check which flower has to occupy the very first North side position once White Primrose is fixed on the South side.

Answer 1

The Correct Option is D

This question only needs the North row worked out, so it helps to test the two possible orders for the North row directly instead of building the full six person layout.

1. What we know for certain: the bungalow across from the South facing C is Periwinkle, so Periwinkle is on the North side. Blue Star sits right before Rose and faces North as well. So the North row is made up of exactly Periwinkle, Blue Star and Rose, and the South row is made up of Yarrow, Orchid and White Primrose.
2. Try Blue Star first: if Blue Star were the leftmost North bungalow, Rose would be next to it, and Periwinkle would end up at the far end of the North row. Since Periwinkle sits opposite C, C would then sit at the far end of the South row too. But White Primrose, a South side flower, is also required to have nothing to its left, meaning it needs the South row's own leftmost spot, and because the two rows face opposite ways, that spot is the one physically farthest from the North row's leftmost bungalow. With Periwinkle now at the North row's far end, the South row's own leftmost spot lines up with C's position, which already holds Yarrow, not White Primrose. This is a clash, so Blue Star cannot be the leftmost North bungalow.
3. Try Periwinkle instead: if Periwinkle is the leftmost North bungalow, then C, sitting opposite it, is at the near end of the South row, and the South row's own leftmost spot (farthest from Periwinkle) is free for White Primrose with no clash at all. Blue Star and Rose then fill the remaining two North spots in the required order.

Only the second case works without breaking any clue.

Let's summarize:

• Testing Blue Star as the leftmost North bungalow creates a clash with White Primrose's position.
• Testing Periwinkle as the leftmost North bungalow satisfies every clue.

So the bungalow that is both leftmost and North facing is Periwinkle, option (d).