Question Details

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.

The number of persons lives above S is one less than the number of persons live below ____.

Options

A

U

B

T

C

R

D

None of these

E

P

Show Answer

Correct Answer :

Option A

U

Solution :

Correct Answer: U

Let us analyze the given information step-by-step to arrive at the correct executive that completes the given sentence.

Step 1: Understand the Floor Layout and Given Rules
1. There are 6 floors numbered 1 (ground floor) through 6 (topmost floor).
2. Executive T resides on an odd-numbered floor above floor 1, which means T can be on floor 3 or floor 5.
3. Exactly two people live between T and the person with the Vintage theme.
4. The Modern theme office is on the floor immediately above the Vintage theme office.

Step 2: Analyze the Relationship Between S and R
The problem states: "The number of floors below S is equal to the number of floors above R."
Let S represent the floor number of S, and R represent the floor number of R.
- Number of floors below S = S-1
- Number of floors above R = 6-R

Setting these two equal to each other gives:
S-1=6-R

S+R=7
This equation establishes that S and R occupy symmetrical positions from the bottom and top of the building.

Step 3: Formulate the Condition in the Question
The question asks to complete the sentence:
"The number of persons lives above S is one less than the number of persons live below ____."

Let X represent the floor number of the executive filling the blank.
- The number of persons living above S is:
6-S
- The number of persons living below executive X is:
X-1
According to the question's condition:
6-S=(X-1)-1

6-S=X-2

S+X=8

Step 4: Evaluate the Floor Positions
When S lives on Floor 2:
X=8-2=6
- The number of persons living above S (Floor 2) is:
6-2=4
- Executive U lives on Floor 6, so the number of persons living below U (Floor 6) is:
6-1=5
Since 4 is exactly one less than 5 (4=5-1), the condition is perfectly satisfied when the blank is filled by U.

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