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2011 AMC 10B Question 10

AMC10 · 2011 AMC 10B

Question 10

Consider the set of numbers $\{1, 10, 10^2, 10^3, \ldots, 10^{10}\}.$ The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer?
  1. $1 $
  2. $9 $
  3. $10 $
  4. $11 $
  5. $ 101 $