Anil, Bhavani, Charu, Daksh, Eshaan, Farah and Gita are seven students…
2024
Anil, Bhavani, Charu, Daksh, Eshaan, Farah and Gita are seven students studying different subjects. The subjects include Biology, Philosophy, Physics, Economics, Chemistry, Geology and History, not necessarily in the same order. They are all divided among three different colleges — P, Q and R. Any college has a minimum of two students. Daksh studies Physics in College P. The one who studies Philosophy does not study in college R. Farah studies History in college Q with only Bhavani. Anil does not study in college P and does not study Chemistry. Eshaan studies Geology and does not study in college P. Gita studies Economics but not in college P. No one in college P studies Biology or Chemistry. Anil studies Biology in Eshaan's college.
Bhavani is studying which subject?
- A.
Biology
- B.
Chemistry
- C.
Geology
- D.
Economics
Show answer & explanation
Correct answer: B
Concept: In a linked-attribute data-arrangement puzzle (here: subject + college), first lock in every pair a clue states directly. Then apply the elimination principle: once every subject but one has a named owner, and every college has reached the headcount the clues require, the one subject and one seat left over must belong to the one student still unplaced — provided this fits every restriction clue (such as a subject a particular college is barred from).
Application: Work through the clues in this order:
"Farah studies History in college Q with only Bhavani" fixes College Q at exactly two members — Farah and Bhavani. So Farah – History – Q, and Bhavani – Q (subject still open).
"Daksh studies Physics in College P" gives Daksh – Physics – P directly.
"Anil studies Biology in Eshaan's college", together with "Anil does not study in college P" and "Eshaan does not study in college P", rules out P for their shared college. College Q is already full (Farah, Bhavani only), so Anil and Eshaan's shared college must be R. This gives Anil – Biology – R, and Eshaan – Geology – R (Eshaan's subject is stated directly).
"Gita studies Economics but not in college P": College Q is full, so Gita must be in R. This gives Gita – Economics – R.
Only Charu is left unplaced. College P currently holds only Daksh, but every college needs at least two students, and Charu is the only student not yet seated — so Charu must be the second member of College P.
Only Philosophy and Chemistry remain, for Charu and Bhavani. Since "no one in college P studies Biology or Chemistry", Charu (in P) cannot take Chemistry, so Charu studies Philosophy — which also keeps Philosophy out of college R. That leaves Chemistry as the only subject left for Bhavani.
Final arrangement:
Student | Subject | College |
|---|---|---|
Anil | Biology | R |
Bhavani | Chemistry | Q |
Charu | Philosophy | P |
Daksh | Physics | P |
Eshaan | Geology | R |
Farah | History | Q |
Gita | Economics | R |
Cross-check: Every clue holds against the final table:
College sizes are P = 2 (Daksh, Charu), Q = 2 (Farah, Bhavani), R = 3 (Anil, Eshaan, Gita) — every college meets the "minimum two students" rule.
College P's only subjects are Physics and Philosophy — neither Biology nor Chemistry, satisfying "no one in college P studies Biology or Chemistry."
Philosophy (Charu) sits in college P, not R, satisfying "the one who studies Philosophy does not study in college R."
Anil is in college R, not P, and studies Biology, not Chemistry — satisfying both of Anil's constraints.
Eshaan and Gita are both in college R, not P, exactly as their clues require.
Answer: Bhavani studies Chemistry.