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2003 AMC 10A Problem 25

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2003 AMC 10A Problem 25AMC 10 Step by Step
Name:                             Date: September 13, 2026
Modular Arithmetic · difficulty 4 of 5 · about 4 min · position P21-25

Let nn be a 55 -digit number, and let qq and rr be the quotient and the remainder, respectively, when nn is divided by 100100 . For how many values of nn is q+rq+r divisible by 1111 ?

  1. A)

    81808180

  2. B)

    81818181

  3. C)

    81828182

  4. D)

    90009000

  5. E)

    90909090

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