Analyze the following detailed information carefully to answer the question that follows.
Seven executives—P, Q, R, S, T, U, and V—occupy individual floors of a seven-story regional office building, numbered 1 (bottom floor) through 7 (top floor). Each executive decorates their workspace with a different theme: Botanical, Cyberpunk, Minimalist, Rustic, Industrial, Vintage, and Nautical.
S occupies an odd-numbered floor above floor 3, but does not use the Minimalist or Vintage themes.
Exactly three executives reside between S and the one who chose the Industrial theme.
There is exactly one floor between the executive using the Industrial theme and the one using the Cyberpunk theme.
U stays on a floor below the Cyberpunk-themed workspace, though not immediately below it.
U does not use the Vintage or Industrial themes.
The count of individuals staying below P is equal to the count of individuals staying above U.
R occupies a floor somewhere above the Vintage-themed workspace, but not immediately above it.
The Botanical-themed workspace is located on a floor higher than the Nautical-themed workspace.
Q occupies a floor higher than V.
U does not use the Nautical theme.
Correct Answer :
P
Solution :
The correct answer is P.
Step-by-Step Explanation:
Step 1: Understand the Floor Structure
There are 7 floors numbered 1 (bottom floor) through 7 (top floor) occupied by seven executives: P, Q, R, S, T, U, and V.
Step 2: Analyze the Relationship between P and U
We are given that the count of individuals staying below P is equal to the count of individuals staying above U.
Let represent the floor number of P and represent the floor number of U.
Rearranging the equation yields:
Step 3: Determine the Exact Floor Positions
Executive U stays on a floor below the Cyberpunk-themed workspace, though not immediately below it, placing U on Floor 1 ().
Substituting into the floor equation:
Thus, there are exactly 6 individuals staying above U (Floors 2 through 7) and 6 individuals staying below P (Floors 1 through 6).
Conclusion:
Executive P occupies Floor 7, which is the highest floor of the office building.
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