Alex and Brad each loves only one of the colors : Azure and Beige.
And they each both love only one of the foods: Apple and Bread.
Given that the person who love Apple doesn't love Beige, and Brad loves Bread, who loves the color Azure?
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Brad loves Bread implies Alex love Apples and hence he does not like Beige (since the person who love Apples doesn't love Beige) . And therefore A l e x likes Alure..