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AMO 2027 Grades 6-7 SET 20 - Self-study Question 13

AMO · AMO 2027 Grades 6-7 SET 20 - Self-study

Question 13

In a 4-digit perfect square, the first two digits are the same, and the last two digits are also the same. What is the value of this 4-digit number?

**Editorial note for this self-study exercise:** The form is aabb with a in 1–9 and b in 0–9; equality between a and b is not required or excluded. Enter the four-digit number.