If A is the son of B, B and C are sisters, D) is the mother of C, E is the son of D, then which of the following statement is correct?
(1) E is the maternal uncle of A
(2) E and C are sisters
(3) A and E are cousins
(4) B is the daughter of E
EXPLANATION
Let’s analyze the relationships given:
- A is the son of B.
- B and C are sisters.
- D is the mother of C.
- E is the son of D.
Now, let’s derive the relationships:
- A is the son of B, and D is the mother of C. So, A and C are siblings.
- E is the son of D, and C is also the daughter of D. So, E and C are siblings.
Now, based on the derived relationships:
(1) E is the maternal uncle of A – Incorrect. E is the sibling of A’s mother (C), so E is the maternal uncle of A’s sibling (C), not A.
(2) E and C are sisters – Incorrect. E and C are siblings, but they are not sisters; they are brother and sister.
(3) A and E are cousins – Correct. A and E are the children of siblings (B and C, respectively), making them cousins.
(4) B is the daughter of E – Incorrect. B is the mother of A, so B is not the daughter of E.
Therefore, the correct statement is:
(3) A and E are cousins.
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