P is the sister of Q. Q is the father of R. S is the mother of R and T is the father of S. How is S related to Q ?
Wife
Q is the father of R, and S is the mother of R.
The father and the mother of the same child are husband and wife, so S (female) is married to Q (male).
The other facts (P is Q's sister and T is S's father) do not change this; T is Q's father-in-law. Check: R's parents are Q and S, consistent with S being Q's wife.
Hence, Wife.
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