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In such problems, the term "three digit number" means, by default, the number having NON-ZERO leading digit.
Therefore,
(a) the last, ones digit, is any of 5 options 0, 2, 4, 6, 8.
the tens digit is any from 0 to 9 : 10 options;
the leading digit: any from 1 to 9 : 9 options.
Total amount of such numbers is 9*10*5 = 450.
The same answer you can obtain by different way
noticing that there are 900 three-digit numbers from 100 to 999,
and exactly half of them are even numbers.
(b) If a three-digit number is divisible by 5, its ones digit must be 0 or 5.
So, the amount of such three-difit numbers is 9*10*2 = 180.
Again, it is exactly part of the total 900 three-digit numbers.
(c) Let me be short in this last case:
The amount of the three-digit numbers divisible by 10 is exactly part
of the total 900 three-digit numbers, i.e. 90, in total.
Solved.
All questions are answered.