Read the following information carefully to answer the question:
i. Six shops on a floor in two rows facing north and south are allotted to P, Q, R, S, T, and U (not necessarily in the same order).
ii. Q gets a north-facing shop and is not next to S.
iii. Q and P get diagonally opposite shops.
iv. R, next to U, gets a south-facing shop and T gets a north-facing shop.
The shops of which of the other pairs than QP are diagonally opposite to each other?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → SU
The six shops stand in two rows of three facing each other: a row of north-facing shops and a row of south-facing shops. Two shops are diagonally opposite when they are at opposite ends of the two rows.
Q and T get north-facing shops (clues ii and iv). R gets a south-facing shop, and U, next to R, is in the same row.
Q and P are diagonally opposite, so P is in the other row, the south-facing one, with R and U. The third north-facing shop is then S’s.
Q is not next to S, so in the north-facing row T is in the middle, with Q and S at the two ends.
P takes the end of the south-facing row diagonally opposite Q, so R and U take the middle and the other end, the one diagonally opposite S.
The clues do not fix which of R and U takes that end. With U there (R in the middle), S and U are diagonally opposite:
The other pairs can never be diagonally opposite: T is in the middle of its row, which rules out PT and TS, and Q’s diagonal partner is P, which rules out QR.