Read the following information carefully and answer the questions given below:
Six executives—P, Q, R, S, T, and U—occupy individual floors of a six-storey office building, numbered 1 (ground floor) through 6 (topmost floor). Each executive decorates their workspace with a different theme: Minimalist, Vintage, Rustic, Modern, Industrial, and Bohemian.
T resides on an odd-numbered floor above floor 1, but does not use the Minimalist or Bohemian themes. Exactly two people live between T and the person whose office is decorated in a Vintage style. The person with the Modern office lives on a floor immediately above the one with the Vintage office. Q lives on a floor higher than the person with the Modern office, but Q's office is not Rustic. The number of floors below S is equal to the number of floors above R. P lives on an even-numbered floor below R. The executive with the Bohemian theme lives on a floor above the one with the Industrial theme, but below U. S does not have a Rustic or Minimalist theme.
Correct Answer :
Modern
Solution :
The correct option is Modern.
To determine the decoration theme selected by executive R, we can deduce the floor positions and corresponding themes step-by-step based on the given clues.
Step 1: Determine the positions of T, Vintage, and Modern themes
1. Building floors are numbered 1 through 6 from bottom to top.
2. T resides on an odd-numbered floor above floor 1. Therefore, T must be on floor 3 or floor 5.
3. Exactly two people live between T and the person with the Vintage office:
- If T were on floor 3, placing two floors between T and Vintage would put Vintage on floor 6 (floors 4 and 5 in between). Since the Modern office is immediately above Vintage, Modern would have to be on floor 7, which is impossible as the building only has 6 floors.
- Therefore, T must reside on Floor 5.
4. With T on Floor 5, counting two floors down (floors 4 and 3 in between) places the Vintage theme on Floor 2.
5. The Modern office is immediately above the Vintage office, which places the Modern theme on Floor 3.
Step 2: Determine the positions of R, S, and P
1. The number of floors below S equals the number of floors above R. Mathematically, this relation is expressed as:
2. P lives on an even-numbered floor below R.
- Since T is on Floor 5, R cannot be on Floor 5.
- If R is on Floor 3, then the only even-numbered floor below 3 is Floor 2, where P lives.
3. Since Floor 3 is occupied by R, and we established in Step 1 that Floor 3 has the Modern theme, executive R selects the Modern decoration theme.
Step 3: Verification of the Arrangement
- Floor 6: Q (since Q lives on a floor higher than Modern)
- Floor 5: T
- Floor 4: S (calculated as )
- Floor 3: R (Modern theme)
- Floor 2: P (Vintage theme)
- Floor 1: U
Thus, executive R occupies Floor 3 and decorates their workspace with the Modern theme.
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