There are (99,999/3) - (10,002/3) + 1 = 33,333 - 3334 + 1 = 30,000 five digit numbers which are evenly divisible by 3. I hope you are not expecting a list.
The first is 10,002. You can find the rest by continually adding 3 until you reach 99,999.
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None. 3 digit numbers are not divisible by 19 digit numbers.
There are 10 3-digit odd palindromes that are divisible by five.
The first 3 digit number divisible by 19 is 114 (= 19 x 6) The last 3 digit number divisible by 19 is 988 (= 19 x 52) That means that there are 52 - 6 + 1 = 47 three digit numbers that are divisible by 19.
All 4 digit numbers that are divisible by 9 are also divisible by 3. The first is 1008 and the last is 9999.
2999 of them.