Q65. 65. P is the brother of Q and R. S is R's mother. T is P's father.

How many of the following statements are definitely true?
I. S and T are a couple.
II. Q is T's son.
III. T is Q's father.
IV. S is P's mother.
V. R is T's daughter.
VI. P is S's son.

Select the correct answer using the code given below:

Let's construct the family tree based on the given information: 1. "P is the brother of Q and R." This means P, Q, and R are siblings. P is male (+). The genders of Q and R are not yet known.

2. "S is R's mother." S(-) is the mother of R. Since P, Q, R are siblings, S is also the mother of P and Q. 3. "T is P's father." T(+) is the father of P. Since S is the mother of P and T is the father of P, S and T must be a couple and the parents of P, Q, and R.

Family Tree: T(+) --- S(-) | P(+) = Q = R Now let's evaluate each statement: I. S and T are a couple. (Definitely True, as they are parents of the same children). II. Q is T's son.

(Not necessarily true. Q is a child of T, but Q's gender is unknown). III. T is Q's father. (Definitely True. T is the father of P, and P, Q, R are siblings, so T is also Q's father).

IV. S is P's mother. (Definitely True. S is R's mother, and P, R are siblings, so S is P's mother). V. R is T's daughter. (Not necessarily true. R is a child of T, but R's gender is unknown).

VI. P is S's son. (Definitely True. P is male and S is P's mother). So, statements I, III, IV, and VI are definitely true. There are 4 such statements. This question tests the ability to construct and interpret family trees from given relational information.