**Passage.** A university offers five specialisations (Agriculture, Marketing, Finance, Systems and Personnel) for post-graduate Management studies. Five students — Abhijit, Vijay, Saira, Deepak and Meeta — opt for different specialisations across four institutes A, B, C and D. 1. Institute D does not offer Agriculture or Systems Management. 2. Only Abhijit and Deepak take Marketing as their specialisation, and they study in different institutes. 3. Both the lady students study in Institute D. 4. Vijay is the only student who has taken Finance, and he studies in Institute B. 5. Deepak does not study in Institute A. 6. Abhijit and Deepak do not go to any institute attended by Vijay, Saira or Meeta. **Question.** In which institute is Deepak studying?
AA
BB
CC
DD
Answer & Solution
Correct answer: C. C
**Working out the placement.**
From (4): **Vijay → Institute B**, Finance.
From (3): both ladies study at D. From the names, the ladies are **Saira and Meeta** (Abhijit, Vijay, Deepak are male) → both go to D.
From (6): Abhijit and Deepak avoid the institutes of Vijay (B), Saira (D), Meeta (D) → Abhijit, Deepak ∈ {A, C}.
From (5): Deepak ≠ A → **Deepak = C**, **Abhijit = A**.
From (2): Abhijit and Deepak both take Marketing (different institutes A and C ✓).
From (1): Institute D offers only Marketing/Finance/Personnel. Saira and Meeta can't take Finance (Vijay's) or Marketing (Abhijit/Deepak's). So **Saira = Personnel** and **Meeta = Personnel** — Agriculture and Systems remain unopted.
| Student | Institute | Specialisation |
|---|---|---|
| Abhijit | A | Marketing |
| Vijay | B | Finance |
| Deepak | C | Marketing |
| Saira | D | Personnel |
| Meeta | D | Personnel |
**Answer:** C — Deepak is restricted to {A, C} by condition 6 and is excluded from A by condition 5 → Deepak = C.
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