Yes, they are. 5 is the only prime factor of 25 and 5 is not a factor of 18, so they have no prime factors in common, which is what relatively prime means.
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Yes, e.g. 3 and 5 are relatively prime, 27 (33) and 25 (52) are relatively prime...
Yes
No.
Lots of numbers are. To be relatively prime, they would have to have only the number 1 as a common factor. So any number that has any of 2, 3, 6, 9 or 18 as factors are not relative prime to 18. So numbers such as 5, 7, 11, 13 and 17 are relatively prime with 18.
No. To be relatively prime, the only common factor they could have would be the number 1. They also have 5 as a common factor, so they are not relatively prime.