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AIME 2024 / AIME 2024 train bc4e8b27-042f-53a8-8fe1-44d12bef3263

Problem

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Problem

A list of positive integers has the following properties:

\bullet The sum of the items in the list is 30.

\bullet The unique mode of the list is 9.

\bullet The median of the list is a positive integer that does not appear in the list itself.

Find the sum of the squares of all the items in the list.

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Source and history

task_id: bc4e8b27-042f-53a8-8fe1-44d12bef3263
task_key: default--train--bc4e8b27-042f-53a8-8fe1-44d12bef3263
task_revision_id: 2
config / split: default / train

Official source

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