Question

How many integers from 1 to 500 inclusive are

(a) divisible by 6, but are divisible by neither 8 nor 10?

(b) divisible by 6 or 8, but are not divisible by 10?

(c) divisible by 6 and 8, or are not divisible by 10?

Answer 1

integers from 1 to 500 inclusive are

(a) divisible by 6, but are divisible by neither 8 nor 10 -----> 51

(b) divisible by 6 or 8, but are not divisible by 10------------->117

(c) divisible by 6 and 8, or are not divisible by 10------------->454

for this try this program main.c----->

#include <stdio.h>
void main()
{
    int i, count1 = 0, count2 = 0, count3 = 0;
    for (i = 1; i <= 500; i++)
    {
        if (i % 6 == 0 && i%8!=0 && i%10!=0)
            {
            count1++;
            }
            if (i % 6 == 0 || i%8==0 && i%10!=0)
            {
            count2++;
            }
            if (i % 6 == 0 && i%8==0 || i%10!=0)
            {
            count3++;
            }
    }
    printf("%d\n%d\n%d",count1,count2,count3);
}