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# Two Digit Pattern Matching

Pro Problems > Math > Number and Quantity > Number Theory > Digits

## Two Digit Pattern Matching

How many two-digit numbers are there such that the digits match at least one of the following patterns:

1. The digits are both multiples of three.
2. Neither of the digits are multiples of two.
3. The digits add to 8.
4. The digits are perfect squares.
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Problem by Mr. Twitchell

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