Study the following information carefully and answer the questions given below: Nine persons L, N, O, P, Q, W, Y, V and Z live in three different cities Barcelona, Dehradun and Texas but not necessarily in the same order. Q lives with V but neither in Texas nor Dehradun. P lives only with Z but not in Texas. W does not live with V. N neither lives with Y nor in Dehradun. O either lives in Dehradun or Texas. N does not live in Texas. Odd numbers of persons live in Barcelona. O lives with L.

**Question:** How many persons live in Texas?

Question

Study the following information carefully and answer the questions given below: Nine persons L, N, O, P, Q, W, Y, V and Z live in three different cities Barcelona, Dehradun and Texas but not necessarily in the same order. Q lives with V but neither in Texas nor Dehradun. P lives only with Z but not in Texas. W does not live with V. N neither lives with Y nor in Dehradun. O either lives in Dehradun or Texas. N does not live in Texas. Odd numbers of persons live in Barcelona. O lives with L.

**Question:** How many persons live in Texas?

Accepted Answer

**Solution:**

1. From the clues, we know the following:
   - Q and V live together but not in Texas or Dehradun, so they must be in Barcelona.
   - P lives only with Z and not in Texas, so P and Z are together in either Barcelona or Dehradun.
   - W does not live with V, so W is not in Barcelona (where V and Q live).
   - N neither lives with Y nor in Dehradun.
   - O lives either in Dehradun or Texas and lives with L.
   - N does not live in Texas.
   - The number of persons in Barcelona is odd.

2. Assign Barcelona:
   - Q and V are in Barcelona (2 persons).
   - P and Z live together but not in Texas; if they were in Barcelona, total would be 4 (Q, V, P, Z).
   - W cannot be in Barcelona (since W does not live with V).
   - Odd number of persons live in Barcelona, so adding P and Z (2 more) makes 4, which is even. So P and Z cannot be in Barcelona.
   - Therefore, P and Z must be in Dehradun.

3. Assign Dehradun:
   - P and Z live here (2 persons).
   - O lives either in Dehradun or Texas and lives with L.
   - N neither lives with Y nor in Dehradun, so N is not in Dehradun.
   - W is not in Barcelona, so W must be in Dehradun or Texas.

4. Assign Texas:
   - N does not live in Texas.
   - So N must be in Barcelona or Dehradun.
   - N cannot be in Dehradun (from above), so N is in Barcelona.
   - Y is not with N, so Y cannot be in Barcelona.
   - O and L live together in either Dehradun or Texas.
   - W is not in Barcelona, so W is in Texas.

5. Final grouping:
   - Barcelona: Q, V, N (3 persons, odd number)
   - Dehradun: P, Z, O, L (4 persons)
   - Texas: W, Y (2 persons)

6. But the question asks how many persons live in Texas.
   - We have W and Y in Texas (2 persons).

7. However, O lives with L and O lives either in Dehradun or Texas.
   - If O and L are in Dehradun, then Dehradun has 4 persons (P, Z, O, L).
   - Texas has W and Y (2 persons).

8. But N does not live in Texas and not in Dehradun, so N must be in Barcelona.

9. Barcelona has Q, V, N (3 persons).

10. W does not live with V, so W cannot be in Barcelona.

11. Y cannot live with N, so Y is not in Barcelona.

12. So Texas has W and Y (2 persons).

**Answer:** Number of persons living in Texas is **2**.

**Note:** The original answer given is (d) Four, but based on the logical deductions, Texas has 2 persons. Let's re-examine the clues carefully:

- Q and V live together but not in Texas or Dehradun → Barcelona (2 persons)
- P lives only with Z but not in Texas → P and Z together in Dehradun (2 persons)
- W does not live with V → W not in Barcelona
- N neither lives with Y nor in Dehradun → N not with Y and not in Dehradun
- O either lives in Dehradun or Texas and lives with L
- N does not live in Texas
- Odd number of persons live in Barcelona

Assign Barcelona:
- Q, V (2 persons)
- N cannot be in Dehradun or Texas, so N must be in Barcelona (3 persons, odd number)

Assign Dehradun:
- P, Z (2 persons)
- O and L either in Dehradun or Texas

Assign Texas:
- W and Y (2 persons)

If O and L are in Texas, Texas has 4 persons (W, Y, O, L)

This satisfies all conditions:
- Barcelona: Q, V, N (3 persons, odd)
- Dehradun: P, Z (2 persons)
- Texas: W, Y, O, L (4 persons)

**Final Answer:** Four persons live in Texas.

**Answer:** (d) Four

Answer

Answer

Answer