all odd numbers i.e 51,53,55.... 93,95,97,99
8 numbers
1 can be divided into both numbers with no remainder
let's find out the multiples of 7 between 1 and 100; 7, 14, 21, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98 so there are 13 numbers between 1 and 100 that can be divided by 7 with no remainder.
There are 4 such integers: 25, 49, 73, 97
14.2857
Excluding the 10 & 100, there are 89 numbers between the two figures. Out of those 89, only 2 numbers in every 10 are exactly divisible by 5. Therefore this leaves 89-17 which is 72.
How about 91
15
9.0909
I believe that 4604 works.
100.2222
Twelve prime numbers smaller than 100 (7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, and 83) leave the remainder 3 when divided by 4.