There are seven friends — Brian, Paul, Qasim, Rustam, Sam, Tom, Winston — each…
2024
There are seven friends — Brian, Paul, Qasim, Rustam, Sam, Tom, Winston — each likes a different subject among Chemistry, Geography, Physics, Math, Sociology, History, Biology. They are ranked 1 (best) to 7 (worst) in the final exam.
Clues:
Qasim likes Sociology and stands above Tom but below Winston.
Tom gets the worst rank and he likes neither Geography nor History.
Sam likes Physics and stands above both Qasim & Winston but below Paul.
Rustam gets Rank 2 and likes neither Chemistry nor Math.
Paul likes Biology and not the best rank.
The student who likes Math gets the best rank.
Rustam doesn’t like Geography.
Who among the following got the worst rank?
- A.
Qasim
- B.
Rustam
- C.
Brian
- D.
Tom
Attempted by 2 students.
Show answer & explanation
Correct answer: D
Key deductions:
Qasim likes Sociology and stands above Tom but below Winston, so Winston > Qasim > Tom.
Tom is explicitly the worst (Rank 7) and does not like Geography or History.
Sam likes Physics and stands above both Qasim and Winston but below Paul, so Paul > Sam > Winston and Paul > Sam > Qasim.
Rustam is Rank 2 and does not like Chemistry, Math, or Geography.
Paul likes Biology and is not Rank 1. The student who likes Math is Rank 1 (best).
Combine the ordering constraints:
From Paul > Sam > Winston > Qasim > Tom and Rustam = Rank 2, the only consistent placement is:
Rank 1: Brian
Rank 2: Rustam
Rank 3: Paul
Rank 4: Sam
Rank 5: Winston
Rank 6: Qasim
Rank 7: Tom
Assigning subjects consistent with the clues:
Rank 1 (best) must be Math, so Brian = Math.
Paul = Biology (given).
Sam = Physics (given).
Qasim = Sociology (given).
Remaining subjects for Tom, Winston, Rustam were Chemistry, Geography, History. Tom cannot like Geography or History, so Tom = Chemistry.
Rustam does not like Geography, so Rustam = History and Winston = Geography.
Final assignment (Name — Rank — Subject):
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
Answer: Tom got the worst rank (Rank 7).