Yes.
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.
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.
In order to be relatively prime to 12, it can't have the factors 2 or 3. Let's try 5^2 x 7^2 x 11. 13475 has three prime factors, 18 divisors, and is relatively prime to 12.
Oh, dude, "relatively prime" just means two numbers have no common factors other than 1. So, numbers that are relatively prime with 18 are ones that don't share any factors with 18 besides 1. In this case, numbers like 1, 5, 7, 11, 13, 17, and so on are relatively prime with 18. It's like 18 is at a party, and these numbers are the cool kids who don't have any drama with it.
No, they are not.
no
18 = 2 x 32 and 55 = 5 x 11 so yes it is.
Yes
No.
No.
Any odd prime number.
To be relatively prime you must relate the number to another number. 125 is 5³ so it is relatively prime to all numbers that are not multiples of 5 (do not end in 0 or 5)