UPSC Prelims 2019·CSAT·Logical Reasoning·Blood Relations

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:

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  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1, 2 and 3Correct

Explanation

Here's a step-by-step breakdown to determine the identity of E: 1. **Identify F and D's relationship:** "D's father F" means F is male and D's parent. 2. **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. 3. **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. 4. **Identify A's relationship:** "A is daughter of B" means A is female. 5. **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. 6. **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. 7. **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:** 1. **Wife of F:** Yes, based on our deduction in step 2, E is F's wife. 2. **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. 3. **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 $\boxed{D}$
Logical Reasoning: 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'

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