Step-by-Step Relationship and Gender Analysis

To answer the question, we must first build the family tree and determine the gender of each of the six individuals based on the provided clues.

1. Deducing Relationships and Genders

• Clue: "C is wife of B and mother of F."
  → This establishes that (B, C) is a married couple. It also tells us that B is male and C is female.
• Clue: "D is grandmother of A and mother of B."
  → This tells us that D is the mother of B. Since B is male, D is his mother, making her female.
• Clue: "F is the grand daughter of E."
  → This tells us that F is female. We already know D is F's paternal grandmother (B's mother). For E to also be a grandparent, E must be the paternal grandfather and D's husband. Therefore, E is male.

2. Identifying the Ambiguity

Let's summarize the genders we have determined so far:

• Male: B, E
• Female: C, D, F

The only person whose gender has not been determined is A. The clue "D is grandmother of A" works whether A is a grandson or a granddaughter. There is no information in the passage to specify A's gender.

3. Calculating the Number of Male Members

The total number of male members depends on the unknown gender of A:

• Scenario 1: If A is male, the total number of males would be 3 (B, E, and A).
• Scenario 2: If A is female, the total number of males would be 2 (B and E).

Conclusion

Since the information given does not allow us to determine the gender of A, the total number of male members cannot be fixed to a single value. Therefore, the number of male members cannot be determined from the data provided.