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:

1. A. Only two
2. B. Only three
3. C. Only four
4. D. Only five

Answer: C

Explanation

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.