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.

Who does not live with W?

The correct answer is Q (or Option Q).

Step-by-Step Logic and Analysis:

We are given nine persons: L, N, O, P, Q, W, Y, V, and Z living across three cities: Barcelona, Dehradun, and Texas.

1. Analyze the statement for Q and V:
"Q lives with V but neither in Texas nor Dehradun."
This means Q and V must live in Barcelona.

2. Analyze the statement for P and Z:
"P lives only with Z but not in Texas."
Since P lives only with Z, the city where they live contains exactly 2 people (P and Z).
Since P does not live in Texas, and Barcelona already has Q and V (plus more people, as we will see), P and Z must live in Dehradun. So, Dehradun contains only P and Z.

3. Determine the cities for the remaining people:
Since Dehradun is full with exactly 2 people (P and Z), all other persons must live in either Barcelona or Texas.

4. Analyze the statements for O and L:
"O either lives in Dehradun or Texas."
Since Dehradun is full, O must live in Texas.
"O lives with L."
Therefore, L also lives in Texas.

5. Analyze the statements for N:
"N does not live in Texas" and "nor in Dehradun".
Therefore, N must live in Barcelona.

6. Analyze the statements for W and Y:
"W does not live with V."
V is in Barcelona, so W cannot be in Barcelona. Therefore, W lives in Texas.
Now, looking at Barcelona: It has Q, V, N, and possibly Y.
"Odd numbers of persons live in Barcelona."
Currently, Q, V, N (3 people) are in Barcelona. If Y were also in Barcelona, there would be 4 people (even). To keep the number of persons in Barcelona odd, Y must live in Texas.
"N neither lives with Y nor in Dehradun" is also satisfied as Y is in Texas and N is in Barcelona.

Final City Distribution:
- Barcelona (3 persons): Q, V, N
- Dehradun (2 persons): P, Z
- Texas (4 persons): O, L, W, Y

Conclusion:
The persons living with W in Texas are O, L, and Y.
Among the options given (O, Q, Y, L), Q lives in Barcelona and therefore does not live with W.