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Puzzle #190: Can you find a tennis score that is also a square number?

Can you solve this week’s arithmetical puzzle, All square? Plus the answer to puzzle #189

19 October 2022

#190 All square

Set by Zoe Mensch

The secretary of my tennis club has just changed the six-digit code for the padlock at the entrance gate. “As a mathematician, you will be interested to know that the new code is a square number,” he said.

“Really?” I replied, only mildly interested.

“The code is also the final score of the three-set league match I played last week.”

“And you have other clues to help me?”

“No, that’s it,” he said. And he was right. After a few “aha” moments, I narrowed the possibilities to a small range, and with the aid of a calculator discovered that there is only one “proper” three-set tennis result that is a square.…

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