Question

Whose flat is between Q and S?

• A. U
• B. R
• C. P
• D. T
• A. T
• B. P
• C. Q
• D. R
• A. U, R, P
• B. U, P, T
• C. Data inadequate
• D. Q, T, S

Answer 1

The Correct Option is D

We have the following conditions:
1. Six flats in two rows facing North and South are allotted to P, Q, R, S, T, and U.
2. Q gets a North-facing flat and is not next to S.
3. S and U get diagonally opposite flats.
4. R, next to U, gets a South-facing flat and T gets a North-facing flat.
Step 1: Placement of Q.
Q has a North-facing flat and cannot be next to S. This means S must be placed in such a way that they are separated from Q.
Step 2: Diagonal condition for S and U.
S and U are diagonally opposite, which fixes their positions relative to each other across the two rows.
Step 3: Position of R.
R is next to U and has a South-facing flat. So U must be in a position where R can be placed adjacent horizontally.
Step 4: Placement of T.
T has a North-facing flat, and with the remaining available slots, T ends up positioned between Q and S in the same row.
Thus, the flat between Q and S belongs to T.
Therefore, \(\boxed{\text{T}}\) is correct.

Answer 2

From the arrangement in Q4, U’s original neighbours can be identified. Now, when T and P swap flats, the new arrangement must be rechecked.
Step 1: Original neighbours of U.
U is diagonally opposite S and next to R in the original layout. This means R is horizontally beside U’s position in the South-facing row.
Step 2: Swapping T and P.
Swapping these two changes their original positions, but does not affect U’s adjacency to R, because neither T nor P was next to U in the original arrangement.
Step 3: Verification.
Even after the swap, R remains the flat next to U.
Thus, the correct answer remains \(\boxed{\text{R}}\).

Answer 3

We are given:
1. Six flats in two rows facing North and South are allotted to P, Q, R, S, T, and U.
2. Q gets a North-facing flat and is not next to S.
3. S and U get diagonally opposite flats.
4. R, next to U, gets a South-facing flat.
5. T gets a North-facing flat.
Step 1: Identify fixed North-facing flats.
From the clues, Q and T are explicitly North-facing. Additionally, any person placed directly opposite a South-facing flat will automatically be in a North-facing flat.
Step 2: Fix South-facing flats.
From statement (4), R has a South-facing flat. Since S and U are diagonally opposite, if U is South-facing, S must be North-facing. But the arrangement possibilities show U is South-facing to satisfy R’s adjacency rule and the diagonal condition with S.
Step 3: Remaining South-facing flat.
From the placement deduction, the last South-facing slot goes to P because Q, T, and S have already been identified as North-facing.
Step 4: Final combination.
The three South-facing flats are occupied by U, R, and P.
Therefore, \(\boxed{\text{U, R, P}}\) is correct.