PrepTest 72, Section 1, Question 7

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On a single day, a realtor will show a client five houses, exactly one house in each of five neighborhoods�Quarry, Riverton, Shelburne, Townsend, and Valencia. Each house will be shown to the client exactly once. The order in which the houses are shown is subject to the following constraints:

On a single day, a realtor will show a client five houses, exactly one house in each of five neighborhoods�Quarry, Riverton, Shelburne, Townsend, and Valencia. Each house will be shown to the client exactly once. The order in which the houses are shown is subject to the following constraints:

On a single day, a realtor will show a client five houses, exactly one house in each of five neighborhoods�Quarry, Riverton, Shelburne, Townsend, and Valencia. Each house will be shown to the client exactly once. The order in which the houses are shown is subject to the following constraints:

On a single day, a realtor will show a client five houses, exactly one house in each of five neighborhoods�Quarry, Riverton, Shelburne, Townsend, and Valencia. Each house will be shown to the client exactly once. The order in which the houses are shown is subject to the following constraints:

The house in Riverton must be shown either first or second.

The house in Townsend must be shown either first or fifth.

The third house shown must be the house in Quarry or the house in Valencia.

The house in Quarry cannot be shown either immediately before or immediately after the house in Shelburne.

Question
7

If the house in Quarry is shown fourth, which one of the following must be true?

The house in Riverton is shown first.

The house in Riverton is shown second.

The house in Shelburne is shown second.

The house in Townsend is shown first.

The house in Valencia is shown third.

E
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