Question 67227
The only numbers below 300 must be in the one hundreds so the first digit must be 1.
The second digit can be 1, 3, 5, 7 or 9.
Five numbers with a second digit of 1 have an odd third digit.
Five numbers with a second digit of 3 have an odd third digit.
Five numbers with a second digit of 5 have an odd third digit.
Five numbers with a second digit of 7 have an odd third digit.
Five numbers with a second digit of 9 have an odd third digit.

So the total is 25 numbers.
111, 113, 115, 117, 119, 131, 133, 135, 137, 139, 151, 153, 155, 157, 159, 171, 173, 175, 177, 179, 191, 193, 195, 197, 199