Question

P, Q, R, S, W, X, Y, Z are seated around a circle facing the centre. The husband of Z is second to the right of Q who sits between two males. X sits second to the left of the daughter of S. X is the sister of Y and not an immediate neighbour of Z's husband. Only one person sits between P and X. P is the father of Y. S (brother of Z) sits to the immediate left of his mother. Only one person sits between Z's mother and W. Only one person sits between Z and Y. Y is the mother of R and not an immediate neighbour of W. Which of the following is true?

• A. R is the cousin of W.
• B. Q is the mother of Z.
• C. Z sits third to the left of her daughter.
• D. No female is an immediate neighbour of R.

Hint:

In circular family-seating puzzles, lock the role edges first (e.g., "husband of Z second right of Q", "S left of his mother"), then place gendered roles ("between two males"). Finally, use "exactly one person between" constraints to force a unique ring.

Answer 1

The Correct Option is B

Step 1: Fix genders from the direct clues: Z, X, Y are female; S, P are male, since S is Z's brother and P is Y's father.

Step 2: Anchor the arrangement using "S sits immediately left of his mother," "Q sits between two males," and "Z's husband is second to Q's right" to place S, Q and Z's husband relative to each other.

Step 3: Fitting in the remaining clues about X, W, P and R gives the unique circle \(P-Y-X-Z-W-S-Q-R\), where Q turns out to be the mother of both S and Z.
\[ \boxed{\text{Q is the mother of Z}} \]