Interview Preparation Exam > Interview Preparation Notes > Puzzles for Interview > Six Houses P, Q, R, S, T, and U
Six Houses P, Q, R, S, T, and U | Puzzles for Interview - Interview Preparation PDF Download
Introduction
There are six houses labeled as P, Q, R, S, T, and U. These houses are of different colors, namely, Red, Blue, Green, Orange, Yellow, and White. There are three houses on each side of the road.
Solution
- Identifying the Tallest House: The tallest house is T and it is exactly opposite to the Red-colored house.
- Identifying the Shortest House: The shortest house is opposite to the Green colored house. Therefore, the shortest house is U.
- Identifying the Colors of Houses: The color of house U is Orange and it is located between houses P and S. The color of house R is Yellow and it is exactly opposite to P. The color of house Q is Green and it is exactly opposite to U. The color of house S is Red, as it is opposite to T, and the color of house P is White, as it is taller than R but shorter than S and Q.
- Arranging the Houses: Houses P, S, and U can be arranged in two ways: {P, U, S} and {S, U, P}. The heights of P, Q, R, and S can also be arranged in two ways: {S, Q, P, R} and {Q, S, P, R}. Therefore, {P, U, S} are on one side of the road, and {R, Q, T} are on the other side of the road. P is opposite to R, U is opposite to Q, and S is opposite to T.
Conclusion
The color of the tallest house is Red, and there are two houses, namely S and Q, that are taller than house R.
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Oct 21, 2025
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