A, B, D, J, O, T and Z are sitting around a circular table facing the center. Only two people sit between O and D when counted from the left of D. J sits third to the left of B. A sits to the immediate right of B. A sits second to the left of O. Z is an immediate neighbor of J. How many people sit between O and Z when counted from the right of O?
One
Seven people face the centre, so for each person their left is clockwise and their right is anticlockwise. Fix the 7 seats and place people using the clues.
"A sits to the immediate right of B" and "A sits second to the left of O": placing B, then A immediately to B's right, then O two seats to A's left (i.e. two clockwise from A), locates B, A and O together.
"J sits third to the left of B": counting three seats clockwise from B gives J's seat.
"Only two people sit between O and D counted from the left of D": moving from D towards its left (clockwise), two people intervene before reaching O; this fixes D's seat.
"Z is an immediate neighbour of J": the one empty seat adjacent to J is taken by Z, completing the circle.
The consistent arrangement (clockwise) is A, O, D, T, B, ... with J and Z filling the remaining adjacent seats such that Z ends up immediately next to O on O's right side.
Counting from the right of O, only one person sits between O and Z.
Hence, one person sits between O and Z.
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