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Explanation:

We have to arrange six houses on opposite sides of a road.

From condition (vii), we can say that P, U and S lie on one side of the road as follows:

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From condition (viii) and (ix) we can further complete the arrangement as follows. We have also used the color of the house P from statement (x).

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The only left house is definitely T. From conditions (v) and we can complete the arrangement as follows.

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From condition (vi) it can be deduced that U is the shortest house. Also from the last condition it can be deduced that P is the fourth tallest, R is the fifth tallest and S and Q are second and third tallest not in that order.

Filling all this data we can see the arrangement as follows:

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​​​​​​​The color of the tallest house (T) is Blue.

Hence, option (b).

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