Directions: Each of the questions below, consist of a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the three statements and give answer: Six persons sit around a triangular table. Three persons sit at each corner of table and rest sit at middle of each side of table. All of them face inside and like different colours. Who among the following likes Green colour? I. Y likes Purple and sits second to the left of X. W is not an immediate neighbor of X but sits third to the right of the one who likes Pink colour. II. The one who likes Pink sits second to the right of Z, who does not sit at any side of the table. U neither likes Black nor Green. The one who likes Green sits second to the right of the one who likes Black colour. III. V likes White colour and sits second to the left of the one who likes Yellow colour.

### Concept & Logic In data sufficiency problems involving seating arrangements, combine the statements systematically to determine the exact positions and attributes (colours) of all entities. Draw a diagram and assign positions based on relative clues. ### Step-by-Step Solution Let the 6 positions be numbered 1 to 6 in an anti-clockwise direction, with 1, 3, 5 as corners and 2, 4, 6 as middle sides. Since everyone faces inside: * **Right** means Anti-Clockwise. * **Left** means Clockwise. **From Statement II:** * Z is at a corner. Let Z be at position 1. * The one who likes Pink sits 2nd to the right (anti-clockwise) of Z. So, Pink is at position 3. **From Statement I:** * W sits 3rd to the right of Pink. 3rd right of position 3 is position 6. So, W is at 6. * Y likes Purple and sits 2nd to the left (clockwise) of X. W is not an immediate neighbor of X. * Since W is at 6, X cannot be at 5 or 1 (Z is at 1 anyway). * If X is at 4, Y is at 2 (2nd left). This fits perfectly. So X is at 4, Y(Purple) is at 2. * Remaining persons: U and V. They must occupy positions 3 and 5. **From Statement III:** * V likes White and sits 2nd to the left of Yellow. * If V is at 3, V would like Pink (contradiction). So V must be at 5. V likes White. * V(5) is 2nd left of Yellow. This means Yellow is at 1. Thus, Z likes Yellow. * Since V is at 5, U must be at 3. So U likes Pink. **Back to Statement II for remaining colours:** * Colours placed: Yellow(1), Purple(2), Pink(3), White(5). Remaining: Black, Green. * Green sits 2nd right of Black. Remaining positions: 4 and 6. * If Black is at 4(X), 2nd right is 6(W). This fits. So X=Black, W=Green. * This uniquely determines that W likes Green. All three statements were necessary to find this. ### Exam Strategy & Shortcut Always fix the most definitive clue first (Z at a corner). In circular/polygonal seating, direction of left/right is crucial. Tracing combinations mentally step-by-step reveals that dropping any statement leaves missing variables (e.g., dropping III leaves V and U ambiguous, thus colours unresolvable). ### Common Pitfall Misinterpreting "Left" and "Right" when facing inside. Remember: Facing inside -> Left is Clockwise, Right is Anti-Clockwise. ### Final Answer Therefore, the correct answer is **Data in statements I, II and III together are sufficient to answer the question.**