Question Details

E is the sister-in-law of B. A and C are sisters. D is the daughter of B. H is the nephew of C. A is the paternal grandmother of D. F is the brother-in-law of C. G is the son of H. B has no siblings. There are two married couples in the family. C is not married.

How many female members are there in the family?

Options

A

Three

B

Four

C

Five

D

Two

E

Can’t be determined

Show Answer

Correct Answer :

Option C

Five

Solution :

To find the total number of female members in the family, let us analyze the relationships step-by-step:

1. A and C are sisters:
Both A and C are female.
C is not married (given). Since A and C are sisters, A is also female.

2. A is the paternal grandmother of D:
Since A is the paternal grandmother of D, A must have a son who is the father of D.
Since D is the daughter of B (given), B must be the husband or wife of A's son. B has no siblings (given). Since A's son is the father of D, B must be the mother of D. Therefore, B is female, and B is married to A's son (who is male).

3. D is the daughter of B:
Since D is a daughter, D is female.

4. F is the brother-in-law of C:
Since C is unmarried, F must be married to C's sister A. Thus, A (female) and F (male) are married. This is the first married couple.

5. E is the sister-in-law of B:
B is married to A's son (let's call him X, a male). B has no siblings. Therefore, E must be the sister of B's husband X (making E the sister of X, and daughter of A and F). Thus, E is female.

6. H is the nephew of C:
Since C has only one sister, A (who is married to F), the nephew of C must be the son of A and F. Therefore, H is male and is the brother of E and X.

7. G is the son of H:
G is male.

8. Married couples:
There are two married couples in the family. The first is A (female) and F (male). Since B (female) is married to X (male, son of A), B and X form the second married couple.

Let's list all the family members and their genders:
- A: Female (sister of C, wife of F, mother of X, E, and H)
- C: Female (sister of A)
- F: Male (husband of A)
- X: Male (son of A & F, husband of B)
- B: Female (wife of X, mother of D)
- D: Female (daughter of B & X)
- E: Female (daughter of A & F, sister-in-law of B)
- H: Male (son of A & F, nephew of C)
- G: Male (son of H)

Counting the female members: A, C, B, D, and E are females.
Thus, there are exactly 5 female members in the family.

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