Question Details

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.



Which executive occupies the highest floor of the office building?

Options

A

None of these

B

The executive with the Vintage theme

C

The executive with the Botanical theme

D

P

E

Q

Show Answer

Correct Answer :

Option D

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 p represent the floor number of P and u represent the floor number of U.

p-1=7-u

Rearranging the equation yields:

p+u=8

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 (u=1).

Substituting u=1 into the floor equation:

p+1=8p=7

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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