There are six children playing football namely A, B, C, D, E and F. A & E are brothers. F is sister of E. C is the only son of A's uncle. B & D are...

Question

There are six children playing football namely A, B, C, D, E and F. A & E are brothers. F is sister of E. C is the only son of A's uncle. B & D are daughters of the brother of C's father. How D is related to A?

Accepted Answer

Option d: Sister. Solution: Let us systematically analyze the given relationships to determine how D is related to A. Step 1: Identify the initial relationships from the first two statements. "A & E are brothers." This implies: A is male. E is male. A and E are siblings. "F is sister of E." This implies: F is female. F, E, and A are siblings. So, A (male), E (male), and F (female) are siblings. Let their common parent be P. Step 2: Analyze the third statement to introduce C and A's uncle. "C is the only son of A's uncle." A's uncle is the brother of A's father (P). Let A's father be P1. Then A's uncle is P1's brother. Let's call A's uncle as U1. C is the only son of U1. Therefore, C is male. C is A's paternal cousin (son of A's father's brother). Step 3: Analyze the fourth statement to introduce B and D and connect them to the existing family structure. "B & D are daughters of the brother of C's father." From Step 2, C's father is U1 (A's uncle). The brother of C's father (U1) is P1 (A's father). So, B and D are daughters of P1 (A's father). This implies B is female and D is female. Since P1 is the father of A (from Step 1, where P was used for the common parent, now specified as P1), B and D are also children of P1. Step 4: Consolidate all relationships to determine the family structure. From Step 1, A, E, F are children of P1. From Step 3, B, D are also children of P1. Therefore, A, B, C, D, E, F are related as follows: P1 is the father of A, B, D, E, F. A is male. B is female. D is female. E is male. F is female. U1 is P1's brother. C is the son of U1. Step 5: Determine the relationship between D and A. From Step 4, D is a child of P1, and A is also a child of P1. This means D and A are siblings. Since D is female, D is the sister of A. Step 6: Compare with the given options. (A) Uncle - Incorrect. (B) Cousin - Incorrect. (C

There are six children playing football namely A, B, C, D, E and F. A & E are brothers. F is sister of E. C is the only son of A's uncle. B & D are daughters of the brother of C's father. How D is related to A?

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