**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.** Which discipline(s) is/are not opted by any student?
AAgriculture only
BSystems only
CPersonnel only
DBoth Agriculture and Systems
Answer & Solution
Correct answer: D. Both Agriculture and Systems
**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:** D — Both ladies study at D, which offers neither Agriculture nor Systems (condition 1). The remaining three students take Marketing/Finance, so no one takes Agriculture or Systems.
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