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.
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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.
Yes, e.g. 3 and 5 are relatively prime, 27 (33) and 25 (52) are relatively prime...
If you don't include 20, 25 and 30, all of the numbers in that range are relatively prime to 25.
No. Both are divisible by 5.