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A showroom contains exactly six new cars - T, V, W, X, Y, and Z - each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply:

If car T has power windows, then car W must have leather interior. If car X has a sunroof, then car Y must have power windows.
If car Z has leather interior, which of the following must be true?
A) Car T has a sunroof
B) Car X has power windows
C) Car Y has a sunroof
D) Car W has leather interior

1 Answer

6 votes

Final answer:

Based on the logic puzzle's conditions, car W having leather interior (choice D) is the only option that can be inferred as a must-be-true condition without additional information, making it the correct answer to which of the following must be true if car Z has leather interior.

Step-by-step explanation:

The question posed revolves around a logic puzzle involving six new cars with different options. We are given three conditional statements and asked to determine what must be true if car Z has leather interior. Given the conditions, we can determine the answer without necessarily knowing the status of all the other options for each car.

According to the conditions, if car T has power windows, then car W must have leather interior. There is no direct conditional relating to car Z, except that we know car Z does have leather interior based on the question stem. Given that we don't know anything about car T's options from the information provided, we can't make any assumptions or inferences about car W's options from car T's status. However, since we are to assume that car Z already has leather interior, this piece of information exists independently of any conditions outlined for the other cars.

Comparing the must-be-true consequences provided in the answer choices, we can disregard car T's sunroof (A) and car X's power windows (B), as they have no relevant conditional statements linking them directly to Z's leather interior. Choice C, referring to car Y having a sunroof, is also irrelevant because it does not necessarily follow from the given conditions. However, choice D, car W having leather interior, is the must-be-true condition as it is directly instituted as a requirement in the case that car T has power windows. Regardless of whether car T actually has power windows or not, we have no conflicting information that would dispute car W having leather interior, thus making it the safest inference based on the information given.

User Robin Fisher
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