Step 1 — Fix basic facts from the clues:
Mahesh sits third to the right of Deepika and likes Chess. Deepika is not at an extreme end and Sonal faces Deepika. Vacant seats (one per row) are not opposite to each other; Row-1’s vacant seat does not face Mahesh and is not adjacent to Sonal; Mahesh is not at any extreme end. Suresh sits at an extreme end, with exactly two people between him and the vacant seat in his row. David likes Skating. Arvind neither likes Wrestling nor Boating, does not face a vacant seat, and sits opposite the person who likes Kabaddi. The one who likes Swimming faces the one who likes Chess (therefore faces Mahesh). The one who likes Baseball faces the one who likes Running, and the persons with Kabaddi and Running are adjacent.
Step 2 — Consequences of “Swimming faces Chess” and “Mahesh not at ends”:
Since Mahesh is not at an extreme end and likes Chess, the person who likes Swimming must sit directly opposite Mahesh. Therefore, neither the seat opposite Mahesh nor Mahesh’s seat can be vacant. This also locks one Row-1 seat (opposite Mahesh) to be occupied and to be the Swimming liker.
Step 3 — Using Arvind’s constraints (no Wrestling/Boating, not facing a vacancy, opposite Kabaddi):
Arvind cannot face a vacant seat; thus the Row-1 seat opposite Arvind is occupied. Moreover, Arvind must face the person who likes Kabaddi. Hence, the Kabaddi liker is in the other row, directly opposite Arvind. Combine this with the “Kabaddi and Running are adjacent” rule: wherever Kabaddi sits, at least one neighbor must be Running. Keep in mind that the one who likes Baseball faces the one who likes Running — this will later constrain where Baseball can go relative to Kabaddi/Running.
Step 4 — Suresh’s position pattern (extreme end, two between Suresh and vacant seat):
Place Suresh on an extreme in Row-2 (he must be there by clue). Then the vacant seat in Row-2 is exactly two seats away from Suresh. This leaves three non-vacant, known-occupied Row-2 positions (besides Suresh): one for Mahesh (not extreme), one for Deepika (not extreme), and one for either Arvind or Lily. The vacancy’s fixed spacing from Suresh plus “vacant seats are not opposite” and “Row-1 vacancy does not face Mahesh” considerably limits which Row-1 column can be vacant; in every valid arrangement consistent with all constraints, Lily ends up not opposite any of the locked special pairings (Chess↔Swimming, Kabaddi↔Arvind, Baseball↔Running).
Step 5 — Place the activity pairs that must face each other:
We already have Mahesh (Chess) facing Swimming. Next, fix a spot for Kabaddi opposite Arvind (since Arvind must face Kabaddi). Because Kabaddi must be adjacent to Running, one of Kabaddi’s neighbors becomes Running. Consequently, the person sitting opposite that Running seat becomes the Baseball liker (by “Baseball faces Running”). These three constraints (Arvind↔Kabaddi; Kabaddi adjacent to Running; Running faces Baseball) together “consume” a block of four seats across the two rows.
Step 6 — Use known dislikes to filter candidates:
Deepika does not like Kabaddi or Running, so she cannot be placed in the Kabaddi–Running adjacency block as either Kabaddi or Running. Suresh does not like Wrestling or Baseball, so he cannot take those two. Arvind cannot be Wrestling or Boating. David is already fixed as Skating. These exclusions cause the Kabaddi–Running–Baseball trio to be distributed among the remaining eligible names, forcing Lily into the small set of leftover activities.
Step 7 — Eliminate remaining possibilities for Lily:
After placing Chess (Mahesh) and its face-off Swimming, then fitting the Kabaddi–Running–Baseball chain consistent with Arvind’s opposition and adjacency rules, we check each person’s allowed options. Suresh cannot take Baseball or Wrestling; Arvind cannot take Wrestling or Boating; Deepika cannot take Kabaddi or Running; David is fixed at Skating. When these are all honored simultaneously while respecting vacancies/oppositions, Lily’s only consistent assignment among the remaining activities is Wrestling.
Conclusion:
Therefore, Lily likes Wrestling.
Answer: The correct option is (C) : Wrestling.