60. Which numbers are more numerous among the first 100 natural numbers: those divisible by 3, or those divisible by at least one of the numbers 5 or 7?

## Problems for the eighth grade
60. Among the first 100 natural numbers, there are 33 numbers divisible by 3, 20 numbers divisible by 5, and 14 numbers divisible by 7. Since the numbers 35 and 70 were counted both as divisible by 5 and by 7, the total number of numbers that are divisible by at least one of the numbers 5 or 7 will be $20+14-2=32$. Therefore, the numbers divisible by three will be one more.