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A 2024 Problem (Posted on 2024-05-13)

Determine the quotient and the remainder when a positive integer N constituted entirely by 2024 sevens is divided by 10001.

No Solution Yet Submitted by K Sengupta

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Solution

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10001*7777 = 77777777 which has eight 7's. 2024 is divisible by 8, so N is divisible by 10001.

The quotient will look like 7777000077770000...7777 with 2024/8=253 blocks of four 7's and no remainder.

Posted by Jer on 2024-05-13 07:50:42

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