M and N are siblings of the same gender (both male). P is married to N. Q is the father of M. R is the daughter of P. What is the relation of R to Q?

The correct answer is Granddaughter.

To determine the relationship of R to Q, let us break down the given statements step-by-step:
1. M and N are siblings of the same gender (both male): This implies M and N are brothers.
2. Q is the father of M: Since M and N are brothers, Q must also be the father of N.
3. P is married to N: N and P are a married couple.
4. R is the daughter of P: Since N and P are married, R is the daughter of both N and P.
5. Relation of R to Q: Q is the father of N, and N is the father of R. Therefore, Q is the grandfather of R, which means R is the granddaughter of Q.

Hence, R is the granddaughter of Q.