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.

Which city does O live in?

The correct answer is Texas.

Let us analyze the given information step-by-step to determine the city each person lives in:

1. Identify the Cities and Total Persons:
There are 9 persons: L, N, O, P, Q, W, Y, V, and Z.
There are 3 cities: Barcelona, Dehradun, and Texas.

2. Analyze the clues about Q, V, P, and Z:
- "Q lives with V but neither in Texas nor Dehradun."
Since Q and V do not live in Texas or Dehradun, Q and V must live in Barcelona.
- "P lives only with Z but not in Texas."
The word "only" means that P and Z are the only two people living in their city.
Since Barcelona already has Q and V (and as we will see, an odd number of people), and P and Z do not live in Texas, P and Z must live in Dehradun. Thus, Dehradun has exactly 2 persons: P and Z.

3. Analyze the clue about Barcelona's population:
- "Odd numbers of persons live in Barcelona."
Since Dehradun has exactly 2 persons, the remaining 7 persons are split between Barcelona and Texas.
Barcelona has an odd number of persons (greater than 1 because Q and V are there, so either 3 or 5 or 7).
If Barcelona had 5 persons, Texas would have 9 - 2 - 5 = 2 persons. But P and Z live "only" with each other in Dehradun, meaning no other city can have a group of just 2 persons if P lives "only" with Z. Or more simply, let us place the remaining persons to satisfy all conditions.

4. Determine the locations of N, W, Y, O, and L:
- "N neither lives with Y nor in Dehradun."
- "N does not live in Texas."
Since N does not live in Dehradun or Texas, N must live in Barcelona.
Now Barcelona has at least 3 persons: Q, V, N (which is an odd number: 3).

- "W does not live with V."
V is in Barcelona, so W cannot be in Barcelona. Also, Dehradun is full with only P and Z. Therefore, W must live in Texas.

- "O lives with L" and "O either lives in Dehradun or Texas."
Dehradun is already complete with only P and Z. So O cannot live in Dehradun. Therefore, O must live in Texas.
Since O lives with L, L also lives in Texas.

- Since N cannot live with Y, and N is in Barcelona, Y cannot be in Barcelona. Dehradun is full with P and Z, so Y must live in Texas.

5. Final Distribution:
- Barcelona (3 persons): Q, V, N (Odd number of persons)
- Dehradun (2 persons): P, Z (P lives only with Z)
- Texas (4 persons): W, O, L, Y

Hence, O lives in Texas.