There are seven friends — Brian, Paul, Qasim, Rustam, Sam, Tom, Winston — each…

Step 1 — Direct facts from clues:

• Qasim likes Sociology and is between Winston and Tom (Qasim is above Tom but below Winston).

• Tom is rank 7 (worst) and does not like Geography or History.

• Sam likes Physics and is above both Qasim and Winston but below Paul.

• Rustam is rank 2 and does not like Chemistry, Math, or Geography, so Rustam must like History.

• Paul likes Biology and is not rank 1.

• The student who likes Math holds rank 1 (best).

Step 2 — Use elimination to assign remaining subjects:

• After assigning Sociology (Qasim), Physics (Sam), Biology (Paul), and History (Rustam), the remaining subjects are Chemistry, Geography, and Math, to be assigned to Brian, Winston, and Tom.

• Tom cannot like Geography or History, and cannot like Math because Math is the best rank (rank 1) while Tom is rank 7, so Tom must like Chemistry.

Step 3 — Determine consistent rank order:

• Sam is above Winston and Qasim but below Paul, giving the relative order Paul < Sam < Winston < Qasim < Tom.

• With Rustam fixed at rank 2 and Tom at rank 7, the only assignment that fits all clues places Brian at rank 1 (Math), Rustam rank 2 (History), Paul rank 3 (Biology), Sam rank 4 (Physics), Winston rank 5 (Geography), Qasim rank 6 (Sociology), and Tom rank 7 (Chemistry).

Final assignments:

• Brian — Rank 1, Math

• Rustam — Rank 2, History

• Paul — Rank 3, Biology

• Sam — Rank 4, Physics

• Winston — Rank 5, Geography

• Qasim — Rank 6, Sociology

• Tom — Rank 7, Chemistry

Conclusion: The statement "Tom likes Chemistry" is true.