How many perfect squares lie strictly between $100$ and $200$?

How many perfect squares lie strictly between $100$ and $200$?
  1. $4$
  2. $3$
  3. $5$
  4. $6$

Solution

$11^{2} = 121, 12^{2} = 144, 13^{2} = 169, 14^{2} = 196$. That's $4$ values.

Asked in: IMO

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