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 includes Biology, Philosophy, Physics, Economics, Chemistry, Geology, History not necessarily the same order. They all are divided in three different colleges P, Q, and R. Minimum 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 and Chemistry. Anil studies Biology in Eshaan’s college.
Who is studying with Anil in the same college?
- A.
Gita
- B.
Anil
- C.
Farah
- D.
Daksh
Show answer & explanation
Correct answer: A
Concept: In an attribute-based multi-variable arrangement, each entity (here, a student) must be linked to several attributes at once (subject and college). Solve by first anchoring students to colleges using any direct college statements and the “minimum two students per college” constraint, then use the remaining clues to eliminate options and fill in the rest.
Application:
Daksh studies Physics in College P (given directly).
Farah studies History in College Q “with only Bhavani”, so College Q contains exactly Farah and Bhavani — no one else joins College Q.
Anil does not study in College P (given), and College Q is already fixed at exactly two members, so Anil must belong to College R.
Anil studies Biology in Eshaan’s college (given), so Eshaan is also in College R, the same college as Anil.
Gita does not study in College P (given), and College Q is already fixed at exactly two members, so Gita must also belong to College R.
College P needs at least two students but currently has only Daksh; since Anil, Eshaan and Gita are placed in College R and Farah, Bhavani are fixed in College Q, the only student left, Charu, must join College P.
This fixes the college groups: College P = {Daksh, Charu}, College Q = {Farah, Bhavani}, College R = {Anil, Eshaan, Gita}.
The two remaining subjects, Philosophy and Chemistry, go to Charu and Bhavani. Since no student in College P studies Chemistry (given) and Charu is in College P, Charu cannot study Chemistry — so Charu studies Philosophy and Bhavani studies Chemistry.
Cross-check:
The Philosophy student (Charu) is in College P, not College R — satisfies “the one who studies Philosophy does not study in college R.”
Anil studies Biology, not Chemistry, and Eshaan is not in College P — both given constraints hold, confirming the arrangement is consistent.
Result: Anil belongs to College R, together with Eshaan and Gita. Among the given options, Gita is the student who studies with Anil in the same college.
