Difference between revisions of "2018 AMC 10B Problems/Problem 13"

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==Problem==
 
How many of the first <math>2018</math> numbers in the sequence <math>101, 1001, 10001, 100001, \dots</math> are divisible by <math>101</math>?
 
How many of the first <math>2018</math> numbers in the sequence <math>101, 1001, 10001, 100001, \dots</math> are divisible by <math>101</math>?
  

Revision as of 15:03, 16 February 2018

Problem

How many of the first $2018$ numbers in the sequence $101, 1001, 10001, 100001, \dots$ are divisible by $101$?

$\textbf{(A) }253 \qquad \textbf{(B) }504 \qquad \textbf{(C) }505 \qquad \textbf{(D) }506  \qquad \textbf{(E) }1009 \qquad$

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