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Difficulty: MediumBlood Relations

In a family of seven members—A, B, C, D, E, F, and G—the following relationships are known:

- D is the maternal grandfather of E and has exactly three children, all of whom are daughters.
- C is the father of E and has no siblings.
- B is the wife of C.
- F is the mother of G and the sister-in-law of C.

Based on the provided information, which of the following statements must be true?

  1. A is the maternal aunt of E.Answer
  2. B
    E is the grandson of D.
  3. C
    G is the nephew of B.
  4. D
    F is the paternal aunt of E.

Answer

The statement that must be true is that A is the maternal aunt of E.
By mapping the family tree, we find that D has three daughters: B (who is E's mother), F (who is G's mother), and A (the remaining family member). Because A is the sister of B, she is the maternal aunt of E.

Step-by-Step Solution

1
Analyze D's relationship to the rest of the family.
D is the maternal grandfather of E. This means E's mother is the daughter of D. We also know D has exactly three children, all daughters.
To establish the top generation and the gender constraints of the second generation.
2
Determine the relationships between B, C, and F.
B is the wife of C, and C is the father of E. Thus, B is E's mother and one of D's three daughters. F is C's sister-in-law. Because C has no siblings, F must be the sister of C's wife (B). Therefore, F is the second daughter of D.
To accurately map the second generation and resolve the 'sister-in-law' connection.
3
Identify the remaining family members.
The family has 7 members. We have identified D (grandfather), B (daughter 1), F (daughter 2), C (B's husband), E (B's child), and G (F's child). The only unassigned member is A. Since D has three daughters, A must be the third daughter.
To complete the family tree using the member count constraint.
4
Evaluate the genders of E and G to verify the statements.
The text states C is the 'father of E' and F is the 'mother of G', but does not provide any pronouns or terms to establish the genders of E and G. Options claiming 'grandson' or 'nephew' cannot be proven true.
To eliminate distractors relying on gender assumptions.

Key Concept

Blood Relations and Multi-generational Family Trees
Estimated Time:2m 0s
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Topics

Blood Relations

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