Direction: Read the following information carefully to answer the question.
* A family consists of six members, namely A, B, C, D, E and F.
* B is the sister-in-law of C's mother.
* C is the sister of F.
* A is the father of D and F is the grandson of A.
* There are three male members in the family.
Who is the mother of F?
- AD
- BE
- CB
- DCannot be determined.
Solution & Step-by-step Explanation
Let's chart out the generation hierarchy from the constraints:
1. C and F are siblings (C is female, F is male since F is the grandson of A).
2. A is the grandfather at the top layer. A is the father of D.
3. Since F is the grandson of A, D is the father of C and F (making D male).
4. There are male members in total. We have identified A, D, and F as males. Therefore, B, C, and E must be females.
5. B is the sister-in-law of C's mother. This means C's mother must be E (married to D), and B is D's sister.
6. This fills out all members perfectly: Males (A, D, F) and Females (B, C, E).
Thus, E is the mother of F.
1. C and F are siblings (C is female, F is male since F is the grandson of A).
2. A is the grandfather at the top layer. A is the father of D.
3. Since F is the grandson of A, D is the father of C and F (making D male).
4. There are male members in total. We have identified A, D, and F as males. Therefore, B, C, and E must be females.
5. B is the sister-in-law of C's mother. This means C's mother must be E (married to D), and B is D's sister.
6. This fills out all members perfectly: Males (A, D, F) and Females (B, C, E).
Thus, E is the mother of F.