Answer: 4 positive integers
Explanation:
Positive integers less than 100 that are divisible by 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.
Let's write out numbers that are not divisible by 2 or 4:
7, 21, 35, 49, 63, 77, 91.
Now let's write out numbers that are not divisible by 3:
7, 35, 49, 77, 91.
Finally, let's write out the numbers that are not divisible by 5:
7, 49, 77, 91.
Thus, there are only 4 positive integers less than 100 that are divisible by 7, but not divisible by 2, 3, 4, or 5.