Question

What is the probability that a two-digit positive integer N has the property that the sum of N and the number obtained by reversing the order of its digits is a perfect square?

• A. $\frac{2}{45}$
• B. $\frac{1}{15}$
• C. $\frac{4}{45}$
• D. $\frac{5}{90}$
• E. $\frac{5}{45}$

Answer 1

Answer: (C)

$\frac{4}{45}$

Answer 2

The correct answer is option (C): $\frac{4}{45}$