There are 91 whole numbers between 1 and 100 that are not divisible by 11.
Calculation
To determine how many whole numbers between 1 and 100 (inclusive) are not divisible by 11, we first need to find how many are divisible by 11.
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Identify multiples of 11: The multiples of 11 between 1 and 100 are: 11, 22, 33, 44, 55, 66, 77, 88, and 99.
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Count the multiples: There are 9 multiples of 11 between 1 and 100.
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Subtract from the total: There are 100 whole numbers from 1 to 100. Subtracting the 9 multiples of 11 gives us the numbers that are not divisible by 11: 100 - 9 = 91.
Therefore, 91 whole numbers between 1 and 100 are not divisible by 11.
Supporting Information
The provided reference focuses on numbers divisible by 3 and 11, and while relevant to divisibility concepts, it does not directly answer the question of numbers not divisible solely by 11. The reference states: "33 of them are divisible by 3 and 9 are divisible by 11." This confirms that there are 9 numbers between 1 and 100 that are divisible by 11, which we used in our calculation.
