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2011 AMC 10A Question 19

AMC10 · 2011 AMC 10A

Question 19

In $1991$ the population of a town was a perfect square. Ten years later, after an increase of $150$ people, the population was $9$ more than a perfect square. Now, in $2011,$ with an increase of another $150$ people, the population is once again a perfect square. Which of the following is closest to the percent growth of the town’s population during this twenty-year period?
  1. $42$
  2. $47$
  3. $52$
  4. $57$
  5. $62$