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MathNet 2024-part-04 — 168 problems (EN–VI) Question 16

Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)

Question 16

We call a positive integer *quadratic* if every two adjacent digits form a square number. For example, the number $364$ is quadratic because both $36$ and $64$ are squares.
How many digits does the largest quadratic number have?

A) $2$
B) $3$
C) $4$
D) $5$
E) $6$