5. How many numbers less than 96 are divisible by 2 and 3?
5. We need to select numbers from 1 to 95 that are divisible by 2 and 3, which means they are divisible by 6. Such numbers are: $6,12,18$, $24,30,36,42,48,54,60,66,72,78,84,90$. There are 15 such numbers in total.

The number of such numbers could also be determined as follows:

$$
95: 6=15 \text { (remainder 5). }
$$

Answer: 15 numbers.