Blood Relations

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.

1. A. Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question.
2. B. Statement-1, Statement-3 and Statement-4 are sufficient to answer the Question.
3. C. All four statement together are sufficient to answer the Question.
4. D. All four statements are not sufficient to answer the Question.

Answer: C

Explanation

Let’s deduce the relationships using all statements:
1. A and B are a married couple.
2. D is the father of C.
3. E is D’s son.
4. A and C are sisters.

From (2) and (3), D is the father of both C and E, making C and E siblings. From (4), A and C are sisters. This means A is also D’s daughter. Since A is D’s daughter and E is D’s son, A and E are siblings. From (1), A and B are a married couple. If A is female (sister of C), then B must be her husband. Since E is A’s brother, E is B’s brother-in-law. All four statements are necessary to establish these connections and determine the precise relationship between E and B.