Cold, rainy or both

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If it is a cold rainy day then I wear a raincoat. If it is a warm rainy day then I carry an umbrella. If I wear my raincoat then I also wear either gloves or a hat but not both. If I carry an umbrella I always wear gloves and sometimes wear my hat as well. I never carry an umbrella and wear my raincoat on the same day. For each of the following, state whether it is definitely true, false or uncertain.


It is a warm rainy day. I wear my raincoat and a hat.


It is a warm rainy day. I carry my umbrella and wear a hat but no gloves. 

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