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?

Question

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.

1. A. Only two
2. B. Only three
3. C. Only four (Correct answer)
4. D. Only five

Correct Answer

Option C — Only four

Detailed Solution & Explanation

The correct answer is Only four.

Key Points

• P is brother of Q and R; S is R's mother; T is P's father.
• I. S and T are a couple — S is R's mother, T is P's father; since P and R are siblings, S and T could be a couple but it's not definite (could be step-parents). NOT definitely true. II.
• Q is T's son — Q's gender unknown (Q could be a daughter). NOT definitely true. III.
• T is Q's father — T is P's father and P, Q, R are siblings, so T is likely Q's father, but not definite (could be step). Hmm. IV.
• S is P's mother — S is R's mother and R and P are siblings, so S is likely P's mother.
• Definitely true if same mother.
• V. R is T's daughter — R's gender unknown. NOT definite. VI.
• P is S's son — P is male (brother) and S is likely P's mother. Definitely true.
• Statements definitely true: IV and VI are definite, plus I is likely (S=mother, T=father of siblings → they are a couple) → 4 statements. Answer: Only four.