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Bill asked his brother’s wife’s mother-in-law’s only husband’s only daughter to join him and his wife for dinner. What relation is she to Bill?

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She is

his sister because his brother’s wife’s mother-in-law’s = his mother, her only husband is Bill's father, and so his only daughter must be his sister

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    $\begingroup$ This is probably the intended answer, although it assumes no children born out of wedlock, and also no previous marriages for the father. $\endgroup$ – Bass Jan 30 at 17:43
  • $\begingroup$ @Bass also Bill's brother could have married a widow, and her late husband's mother is still alive, while Bill's mother is not. $\endgroup$ – deep thought Jan 30 at 19:25
  • $\begingroup$ @Bass & deepthought Right, I assumed it wasn't intended to be a tricky question $\endgroup$ – pirate Jan 30 at 21:42
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She is Bill's sister.
Bill's brother's wife's mother in law = Bill's mother
Bill's mother's daughter = Bill's father's daughter = Bill's sister
Proved.

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  • $\begingroup$ This answer doesn't add anything to the answer given before. $\endgroup$ – Bass Feb 1 at 8:44
  • $\begingroup$ I was just explaining it more explicitly ;) $\endgroup$ – K Sharing Feb 1 at 12:43
  • $\begingroup$ If you want to do that, it's best to edit the existing answer. :) $\endgroup$ – Hugh Feb 2 at 16:13

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