ANSWER:
$106
Explanation:
The odd numbers greater than 1 and less than 9 are 3, 5, and 7.
The even numbers greater than 1 and less than 9 are 2, 4, 6 and 8.
If we multiply the odd numbers we get:

To obtain a remainder of 1, we add 1 to the value obtained previously, therefore:

Now, being an even number, dividing by any pair will give an exact value, while between 3, 5 and 7 the remainder will be 1.
We know that it is the only correct option because we did it using the least common multiple of the related values in the statement.
So the correct answer is $106