Anil, Bhavani, Charu, Daksh, Eshaan, Farah and Gita are seven students…
2023
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 into three different colleges P, Q and R. A minimum of two students study in any college. 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. None in college P studies Biology or Chemistry. Anil studies Biology in Eshaan's college.
Which combination of students and college is incorrect?
- A.
Anil - college R
- B.
Eshaan - college Q
- C.
Charu - college P
- D.
Gita - college R
Show answer & explanation
Correct answer: B
In a linked arrangement puzzle like this one, first lock every direct clue that names a person's college and subject outright, then apply every negative clue ("does not study X", "not in college Y") to eliminate the remaining slots, and only at the very end use a group-size constraint (here, the two-students-per-college minimum) to force whichever assignment is still open into its one remaining consistent seat.
Daksh studies Physics in College P — this is given directly.
Farah studies History in College Q with only Bhavani, so College Q's membership is fixed at exactly two people: Farah and Bhavani.
Anil, Eshaan and Gita are each explicitly barred from College P; College Q is already full with Farah and Bhavani, so all three must sit in College R.
That leaves College P with only Daksh so far, and College R with Anil, Eshaan and Gita. Since every college needs at least two students, Charu — the one student not yet placed — must join College P to bring it up to two.
So the college split is: College P = Daksh, Charu; College Q = Farah, Bhavani; College R = Anil, Eshaan, Gita.
Anil studies Biology in Eshaan's college — confirming Anil sits with Eshaan in College R and fixing Anil's subject as Biology.
Eshaan studies Geology and Gita studies Economics, both given directly, both consistent with College R.
Only Philosophy and Chemistry remain, for Charu (College P) and Bhavani (College Q). Since no one in College P studies Chemistry, Charu must take Philosophy, leaving Chemistry for Bhavani.
This also satisfies the remaining clue that the Philosophy student is not in College R — Charu (Philosophy) is in College P.
Student | College | Subject |
|---|---|---|
Anil | College R | Biology |
Bhavani | College Q | Chemistry |
Charu | College P | Philosophy |
Daksh | College P | Physics |
Eshaan | College R | Geology |
Farah | College Q | History |
Gita | College R | Economics |
Every clue holds against this table: Daksh–Physics–P; the Philosophy student (Charu) sits outside College R; Farah–History–Q alongside only Bhavani; Anil is outside College P and away from Chemistry; Eshaan (Geology) and Gita (Economics) both sit outside College P; College P holds neither Biology nor Chemistry; and Anil shares College R with Eshaan and studies Biology there.
Checking each option against this table, only "Eshaan – college Q" fails to match (Eshaan actually sits in College R) — every other listed pairing is accurate. So Eshaan – college Q is the incorrect combination.