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My problem with this puzzle, is how do you know that Alice and her brothers share both parents?

Is it not correct English to call two people who share one parent, sisters, or brothers?

I guess I could be misguided by my native Norwegian where you have to preamble the word with "hell" (full), or "halv" (half), if you want to specify the number of shared parents.

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It is pretty much the same in English. Unqualified would usually mean sharing both parents but could include half- or step-siblings.

I am not a native English speaker. Can you reformulate the problem for me, so that every alternative interpretation is excluded?

Alice has N full sisters. She also has M full brothers. How many full sisters does Alice’s brother have?

Tried it with N=2 and M=1 (brother singular) with the gpt-4o model and CoT.

1. 50% success without "full" terminology.

2. 5% success with "full" terminology.

So, the improvement in clarity has exactly the opposite effect.

They would usually be called “half-sisters”. You could call them “sisters” colloquially though but given it’s presented as a logic question I think it’s fine to disregard

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