If two projected roads were built, one from T directly to Y, and one from V directly to Z, then each of the following would be a complete list of the towns lying along one of the routes that a traveler going by road from U to X could select except,<br>

On an island there are exactly seven towns: T, U, V, W, X, Y, and Z, All existing and projected roads on the island are two-way and run perfectly straight between one town and the next. All distances by road are distances from the main square of one town to the main square of another town. U is the same distance by road from T, V, and W as Y is from X and Z. The following are all of the currently existing roads and connections by road on the island:

Road 1 goes from T to V via U. Road 2 goes from U directly to W
The triangle road goes from X to Y, from Y to Z, and from Z back to X.
Any main square reached by two roads is an interchange between them, and there are no other interchanges between roads.

1. If two projected roads were built, one from T directly to Y, and one from V directly to Z, then each of the following would be a complete list of the towns lying along one of the routes that a traveler going by road from U to X could select except,

[EXIM Bank MTO-2013 : 2013]

1. T, Z

2. T, X

3. T, Y

4. V, Z

5. None of these

Answer

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