A joint family consists of seven members A, B, C, D, E, F and G with three females. G is a widow and sister-in-law of D's father F. B and D are siblings and A is daughter of B. C is cousin of B. Who is E? 1. Wife of F 2. Grandmother of A 3. Aunt of C Select the correct answer using the code given below:
- A1 and 2 only
- B2 and 3 only
- C1 and 3 only
- D1, 2 and 3Correct
Explanation
Here's a step-by-step breakdown to determine the identity of E:
- Identify F and D's relationship: "D's father F" means F is male and D's parent.
- Interpret "G is a widow and sister-in-law of D's father F":
- G is female (widow).
- For G to be F's sister-in-law, she must be either F's brother's wife or F's wife's sister.
- Given there are 7 specific members (A, B, C, D, E, F, G) and G is a widow, the most consistent interpretation that fits all members and the "three females" condition is that F's wife is E, and G is E's sister. This makes G F's sister-in-law.
- So, F is married to E. E is female. G is E's sister and a widow.
- Establish B and D's parentage: "B and D are siblings" and F is D's father, implies F and E are the parents of B and D.
- Identify A's relationship: "A is daughter of B" means A is female.
- Identify C's relationship: "C is cousin of B". Since B's mother is E, and E has a sister G (who is a widow), C must be the child of G. This makes C a maternal cousin of B.
- Count the females: We have identified A (daughter of B), E (wife of F), and G (sister of E) as females. This perfectly matches the condition of "three females" in the family.
- Determine remaining genders: Since A, E, G are the three females, the remaining members B, C, D, F must be male. (F was already male, B and D are male, C is male).
Family Structure Summary:
- Generation 1: F (Male) is married to E (Female). G (Female, Widow) is E's sister and C's mother.
- Generation 2: B (Male) and D (Male) are children of F and E. C (Male) is child of G.
- Generation 3: A (Female) is daughter of B.
Now, let's evaluate the statements about E:
- Wife of F: Yes, based on our deduction in step 2, E is F's wife.
- Grandmother of A: A is daughter of B. B is son of E. Therefore, E is B's mother, making E the grandmother of A. Yes.
- Aunt of C: C is son of G. G is E's sister. Therefore, E is C's aunt. Yes.
Since all three statements are correct, the correct answer is D.
The final answer is $\boxed{D}$

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