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On two of the ten doors in a room there was a sign and Gwen was told that the information on each sign was true if and only if the valuable prize was three doors or more away from the door Bearing the sign.

1) door 4 bore a sign reading "the valuable prize is behind door 6"
2) door 10 bore a sign reading "the valuable prize is behind door 7"

behind which door did gwen find the valuable prize?

looks a bit too obvious so i think i am missing something but door 6 is only 2 doors away from door 4.
so the prize would be behind 7 (3 doors from 10)???