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MathNet 2012 Question 14

Math Olympiad Vault · MathNet 2012

Question 14

Call a number square-paired when adding it to the number obtained by reversing its digits gives a perfect square. For example, $164$ and $461$ are square-paired, since $164+461=625=25^2$. How many square-paired numbers are there between $10$ and $100$?

A) 5; B) 6; C) 8; D) 9; E) 10.