There are 6 numbers between 1 and 70 that are divisible by 11. These numbers are: 11; 22; 33; 44; 55; 66.
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There are 90 such numbers.
90.
There are 9 numbers between 10 and 100 that are divisible by 11. They are: 11, 22, 33, 44, 55, 66, 77, 88, and 99
A number is divisible by 7 if it is a multiple of 7, so to figure it out, start listing multiples of 7. 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ... On this list there are 11 numbers that are between 11 and 90. The answer is 11 numbers between 11 and 90 are divisible by 7.
To find the numbers between 1 and 100 inclusive that are divisible by either 9 or 4, we first determine how many numbers are divisible by 9 and how many are divisible by 4. There are 11 numbers divisible by 9 (9, 18, 27, ..., 99) and 25 numbers divisible by 4 (4, 8, 12, ..., 100). However, we must be careful not to double-count numbers divisible by both 9 and 4 (36, 72). Therefore, the total number of numbers divisible by 9 or 4 between 1 and 100 inclusive is 11 + 25 - 2 = 34.