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Twelve persons sit on twelve seats arranged in a row, and all are facing north. Y is the only neighbour of S. Three persons sit between S and O, who sits immediately to the left of K. More than three persons sit between K and H. K sits second to the left of P, who sits exactly between K and U. The number of persons between P and B is a multiple of 2. The number of persons between H and B is prime. How many persons sit to the left of B?

1. One
2. Two
3. Three
4. Four

Correct answer: Two

Solution

Using the relations, K, P, and U can be fixed with P exactly between K and U, and O immediately left of K. Then S is placed with three persons between S and O, and Y as S’s only neighbour. Applying the remaining distance conditions places B such that exactly two persons are to its left.

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