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.

How many persons live in Texas?

The correct option is Four.

Step-by-Step Logic and Analysis:

1. Identify the given elements:

• Total number of persons = 9 (L, N, O, P, Q, W, Y, V, Z)

• Total number of cities = 3 (Barcelona, Dehradun, Texas)

2. Analyze the clues step-by-step:

• "Q lives with V but neither in Texas nor Dehradun."
Since Q and V do not live in Texas or Dehradun, both Q and V must live in Barcelona.

• "P lives only with Z but not in Texas."
The phrase "only with Z" means P and Z live together in a city where NO OTHER person lives (a total of exactly 2 persons in that city). Since they do not live in Texas, and Barcelona already has Q and V (plus more to come), P and Z must live in Dehradun. Thus, Dehradun has exactly 2 persons: P and Z.

• "O either lives in Dehradun or Texas. O lives with L."
Since Dehradun is already fully occupied by only P and Z, O cannot live in Dehradun. Therefore, O lives in Texas, and L also lives in Texas with O.

• "N does not live in Texas. N neither lives with Y nor in Dehradun."
Since N cannot live in Texas or Dehradun, N must live in Barcelona.

• "Odd numbers of persons live in Barcelona."
Currently, we know Q, V, and N live in Barcelona. Barcelona must have an odd number of persons (3, 5, 7, etc.).

• "W does not live with V."
Since V lives in Barcelona, W cannot live in Barcelona. W also cannot live in Dehradun (which only has P and Z). Therefore, W must live in Texas.

• Remaining person to place: Y.
Since N is in Barcelona and "N does not live with Y", Y cannot live in Barcelona. Y also cannot live in Dehradun (only P and Z). Therefore, Y must live in Texas.

3. Final Distribution of Persons per City:

• Dehradun (2 persons): P, Z

• Barcelona (3 persons - Odd number): Q, V, N

• Texas (4 persons): O, L, W, Y

Conclusion:

A total of 4 persons (O, L, W, Y) live in Texas.