How many integers from 1 to 33000 are not divisible by 3 or 5, but are divisible by 11?

#
11 divides 3000 numbers (see problem $\underline{60438}$ a). Of these, 3000: 3 = 1000 numbers are also divisible by 3, and 3000: 5 = 600 numbers are divisible by 5. 600: 3 = 200 numbers are divisible by 3, 5, and 11. Therefore, 3000 - 1000 - 600 + 200 = 1600 numbers satisfy the condition of the problem.

## Answer

1600 numbers.