Eight people – A, B, C, D, E, F, G, and H – live in eight different cities: Varanasi, Nashik, Chennai, Siliguri, Ujjain, Bhopal, Jaipur, and Patna. Each person studies in one of four classes – II, V, VIII, and XI – with exactly two people in each class. Given the following clues:

- A studies in an even-numbered class, and the person living in Ujjain studies with A.
- The people living in Varanasi and Jaipur study in the same class, which is lower than class VIII.
- D studies in a class lower than the person living in Varanasi.
- The person living in Nashik studies with H in the same class, but not in class XI. D does not live in Nashik.
- B and G study in different classes. B does not live in Jaipur or Nashik.
- G is senior to both B and H.
- Neither B nor the person living in Siliguri study in the same class as D.
- E lives in Siliguri.
- C is junior to F.
- The person living in Patna studies in an odd-numbered class.
- Neither H nor D lives in Bhopal.
- The person living in Chennai is senior to the person living in Bhopal.

Based on the above information, in which city does C live?

Question

Eight people – A, B, C, D, E, F, G, and H – live in eight different cities: Varanasi, Nashik, Chennai, Siliguri, Ujjain, Bhopal, Jaipur, and Patna. Each person studies in one of four classes – II, V, VIII, and XI – with exactly two people in each class. Given the following clues:

- A studies in an even-numbered class, and the person living in Ujjain studies with A.
- The people living in Varanasi and Jaipur study in the same class, which is lower than class VIII.
- D studies in a class lower than the person living in Varanasi.
- The person living in Nashik studies with H in the same class, but not in class XI. D does not live in Nashik.
- B and G study in different classes. B does not live in Jaipur or Nashik.
- G is senior to both B and H.
- Neither B nor the person living in Siliguri study in the same class as D.
- E lives in Siliguri.
- C is junior to F.
- The person living in Patna studies in an odd-numbered class.
- Neither H nor D lives in Bhopal.
- The person living in Chennai is senior to the person living in Bhopal.

Based on the above information, in which city does C live?

Accepted Answer

**Solution:**

1. From the clues, two main cases arise based on A's class:
   - Case 1: A studies in class II.
   - Case 2: A studies in class VIII.

2. Case 2 is invalid because it contradicts the condition that B and G study in different classes and other constraints.

3. In Case 1 (valid case):
   - A studies in class II and lives in Bhopal.
   - The person living in Ujjain studies with A, so D lives in Ujjain and studies in class II.
   - Varanasi and Jaipur residents study in the same class lower than VIII, so they must be in class V.
   - D studies in a class lower than the person living in Varanasi, so D is in II and Varanasi resident is in V.
   - Nashik and H study together but not in XI; Nashik is assigned to F in class VIII.
   - E lives in Siliguri.
   - B and G study in different classes; G is senior to B and H.
   - C is junior to F.
   - Patna resident studies in an odd-numbered class.
   - Neither H nor D lives in Bhopal.
   - Chennai resident is senior to Bhopal resident.

4. After placing all known persons and cities, C is found to live in Jaipur.

**Answer:** Jaipur

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