Six flats on a floor in two rows facing North | vedclass

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(A) Let the two rows be Row-$1$ (North-facing) and Row-$2$ (South-facing). Each row has $3$ flats.From (iii),$R$ is in the South-facing row and $T$ is

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(A) Let the two rows be Row-$1$ (North-facing) and Row-$2$ (South-facing). Each row has $3$ flats.From (iii),$R$ is in the South-facing row and $T$ is in the North-facing row. $R$ is next to $U$.From (ii),$S$ and $U$ are diagonally opposite. Since $U$ is in the South-facing row (next to $R$),$S$ must be in the North-facing row.From $(i)$,$Q$ is in the North-facing row and is not next to $S$.By analyzing the positions: North-facing row contains $Q, T, S$ (or similar arrangement) and South-facing row contains $R, U, P$.Since we need to determine the specific combination of flats facing South,we must know the positions of all individuals to ensure no contradictions exist. All statements $(i), (ii),$ and $(iii)$ provide essential constraints to fix the positions of $P, Q, R, S, T,$ and $U$. Therefore,no statement can be dispensed with.

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