Ten persons — M, N, O, P, Q, T, U, V, W, and X — are seated around a circular table, not necessarily in the given order. Five face inward, and the oth...
Question
Ten persons — M, N, O, P, Q, T, U, V, W, and X — are seated around a circular table, not necessarily in the given order. Five face inward, and the other five face outward. The following conditions apply:
- No two persons with consecutive alphabetical names sit next to each other.
- Not more than two neighbors face the same direction.
- Exactly two persons sit between W and N.
- M sits third to the right of N.
- Immediate neighbors of M face opposite directions.
- X and V sit immediately to the left of each other but are not immediate neighbors of N.
- O and P sit second to the right of each other.
- No one sits between O and X on either side.
- Immediate neighbors of U face the same direction, which is opposite to U's direction.
- W and Q face the same direction.
- X does not face outside.
Question: The number of persons sitting between N and W when counted to the left of W is equal to the number of persons sitting between which two persons when counted to the left of the latter?