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

Solution: derive ranks and subjects step by step.

• Tom gets the worst rank, so Tom = 7.

• Qasim likes Sociology and stands above Tom but below Winston, so Qasim must be rank 6 (just above Tom) and Winston must be ranked better than 6.

• Sam likes Physics and stands above both Qasim and Winston but below Paul, giving the order Paul > Sam > Winston > Qasim > Tom.

• Rustam is fixed at rank 2 and is said not to like Chemistry, Math, or Geography.

• Paul likes Biology and is not the best rank, so Paul cannot be rank 1. Combining the order with fixed ranks (Rustam = 2, Qasim = 6, Tom = 7) forces Paul = 3, Sam = 4, Winston = 5.

• The student who likes Math is at the best rank (rank 1). The only unassigned person left for rank 1 is Brian, so Brian must be the Math student.

Assigning remaining subjects to check consistency:

• Brian — Rank 1 — Math (by the best-rank clue).

• Rustam — Rank 2 — cannot be Chemistry/Math/Geography, so Rustam = History.

• Paul — Rank 3 — Biology (given).

• Sam — Rank 4 — Physics (given).

• Winston — Rank 5 — Geography (remaining subject after others assigned).

• Qasim — Rank 6 — Sociology (given).

• Tom — Rank 7 — cannot be Geography or History, so Tom = Chemistry.

Conclusion: Brian likes Math (rank 1). None of the named options (Qasim, Rustam, Sam) is the Math student.