Q's mother is the sister of P and the daughter of M, who is the brother of R. S is the daughter of P and the sister of T. In this family, how is M related to T?

Introduction / Context:
This blood relation question mixes siblings, parents and grandparents in a slightly more complex chain. You must carefully connect who is a child of whom and then see how a higher generation person is related to a lower generation person. It is a good practice problem for multi generation reasoning in aptitude exams.

Given Data / Assumptions:

• Q's mother is the sister of P.
• Q's mother is also the daughter of M.
• M is the brother of R, so M is explicitly male.
• S is the daughter of P.
• S is the sister of T, so T is another child of P.
• We assume standard family structure and that P is a direct child of M, since P is sibling of Q's mother.

Concept / Approach:
If Q's mother is a daughter of M and P is her sibling, then P is also a child of M. That makes M the parent of P. S and T are children of P, so they are grandchildren of M. Because M is a brother of R, the gender of M is fixed as male. Therefore, M is the grandfather of T, not grandmother or some uncle like relation.

Step-by-Step Solution:
Step 1: From Q's mother is sister of P, conclude that Q's mother and P are siblings.Step 2: Q's mother is also a daughter of M, so M is the parent of Q's mother.Step 3: Since P is the sibling of Q's mother, P must also be a child of M.Step 4: S is the daughter of P, so S is a grandchild of M.Step 5: T is the sibling of S and also a child of P, so T is another grandchild of M.Step 6: M is brother of R, so M is male and hence is a grandfather, not grandmother.

Verification / Alternative check:
Draw three generations. At the top place M and R as siblings. Under M place the children P and Q's mother. Under P place S and T. Now trace from M down to T: M to P is one generation, and P to T is another generation. Two steps down means that M is a grandparent of T. Since M is male, the specific term is grandfather. No alternative tree structure that respects all given statements can make M an aunt, uncle or grandmother of T.

Why Other Options Are Wrong:
Grand mother is impossible because M is explicitly stated to be a brother of R, which fixes M as male.Grand father or Grand mother is too vague and does not respect the known gender of M.Can't be determined is wrong because there is enough information to determine both generation and gender.Uncle would require M to be a sibling of one of T's parents without being that parent, which contradicts the data that P is a child of M.

Common Pitfalls:
One common mistake is to ignore the statement that M is the brother of R and treat M as a person of unknown gender. Another mistake is to assume that P might not be a child of M, although that follows directly from P being a sibling of M's daughter. Always group people into generations first and then fix genders based on clear words like brother, son or daughter.

Final Answer:
M is related to T as the Grand father of T.