Any of the following could be a Tudor house EXCEPT house

tjs on July 27, 2020

Setup

Hello, could you please explain the setup to this game? Thank you.

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Victoria on July 28, 2020

Hi @tjs,

Happy to help!

The game tells us that a developer is building 8 houses on a street. Houses 1, 3, 5, and 7 are on one side of the street and houses 2, 4, 6, and 8 are on the other side.

Each house is one of three styles: R, S, or T.

_ _
1 2
_ _
3 4
_ _
5 6
_ _
7 8

Now let's go through the rules.

Rule 1: Adjacent houses are of different styles.

This means that houses next to each other on the same side of the street (e.g. 1 and 3 or 6 and 8) cannot be of the same style. Therefore, we cannot have two of the same kind of house next to each other on either side of the street.

Rule 2: No S faces another S.

This means that houses facing each other (e.g. 1 and 2 or 5 and 6) cannot both be S.

Rule 3: Every R has at least one T adjacent to it.

This means that there cannot be an R that has S on both sides.

Rule 4: House 3 is an R.

Rule 5: House 6 is an S.

_ _
1 2
R _
3 4
T S
5 6
_ _
7 8

House 5 must be T because two S cannot face one another and two R cannot be adjacent to one another.

Now let's go to the question stem. We are asked to select the house which cannot be a T.

The answer is immediately clear from our setup above. House 7 cannot be T because two T cannot be adjacent to one another and House 5 must be T. Therefore, answer choice (D) is correct.

Hope this is helpful! Please let us know if you have any further questions.