If B’s mother is A’s mother’s daughter, how is A related to B ?
“A’s mother’s daughter” refers to A’s sister (assuming A is not the only child, or if A is male, it’s his sister; if A is female, it could be A herself or A’s sister). In blood relation problems, “X’s mother’s daughter” usually implies X’s sister unless X is explicitly stated as the only child or female and the context suggests she is the daughter being referred to.
“B’s mother is A’s mother’s daughter” means B’s mother is A’s sister.
So, A is the sibling of B’s mother.
If A is male, he is the brother of B’s mother. The brother of one’s mother is the maternal uncle.
If A is female, she is the sister of B’s mother. This would mean A is B’s mother (if B’s mother has only one sister, A, and A is that sister, and A is B’s mother). However, the options do not include “Mother”. This strongly suggests A is male.
Assuming the standard interpretation where “A’s mother’s daughter” refers to A’s sister (distinct from A unless A is female and the logic loops back confusingly), A is B’s maternal uncle.