Question

Consider the number you get by writing 997 1's followed by a 3. What is the remainder when this number is divided by 11?

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Answer to a math question Consider the number you get by writing 997 1's followed by a 3. What is the remainder when this number is divided by 11?

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Hank

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The number have 997 1's followed by a 3. So, this means the first 996 digits of this number is divisible by 11. The only digits to be divided by 11 are the tens and units digits, which results to a number 13. Now, if 13 is divided by 11, the remainder will be 2. Answer: 2

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