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1962 AMC 12 Question 38

AMC12 · 1962 AMC 12

Question 38

The population of Nosuch Junction at one time was a perfect square. Later, with an increase of $100,$ the population was one more than a perfect square. Now, with an additional increase of $100,$ the population is again a perfect square.

The original population is a multiple of:
  1. $3$
  2. $7$
  3. $9$
  4. $11$
  5. $17$