Concept:This is a circular seating arrangement problem where people sit around a table facing the centre. We use the given clues to determine the order and then find who is third to the left of O.
Explanation:There are seven people: M, N, O, P, W, X, Y. All face the centre. Facing centre means "right" is anticlockwise and "left" is clockwise.
• From the right of X, only two people sit between X and W. So the gap between X and W is 3 positions anticlockwise (counting X as 0).
• From the right of W, only two people sit between W and M. So moving 3 positions anticlockwise from W gives M.
• From the right of X, only three people sit between X and N. So moving 4 positions anticlockwise from X gives N.
• P sits to the immediate left of Y. That means P is clockwise next to Y.
Use these clues to build the arrangement stepwise. For example, start with X at position 1. Then W is at position 4 (since 3 steps anticlockwise). Then M is 3 steps anticlockwise from W, so M at position 7. N is 4 steps anticlockwise from X, so N at position 5. Now fill remaining positions (2,3,6) with P and Y such that P is clockwise next to Y. The only possibility is Y at position 3 and P at position 2 (clockwise from Y). The remaining spot at position 6 is O. The final clockwise order: X(1), P(2), Y(3), W(4), N(5), O(6), M(7). Now find third to the left of O. Left = clockwise from O. From O at 6, first left is M(7), second left is X(1), third left is P(2). So P is third to the left of O.
Answer:P is third to the left of O. Hence the correct option is B.