Art of Problem Solving: Make a List

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Art of Problem Solving's Richard Rusczyk solves problems by making lists.
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Why no square number end with 7? Because the unit digit of any number squared will not end in 7. Square numbers will also not end in 2, 3, 8.

abishekthiyagarajan
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All of the numbers in the second problem were even. That is because in a group of three consecutive numbers, there has to be at least one even number, and when you multiply a number by an even number, you get another even number.

benrythefox
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10:30 I know I'm 9 years late but 24 also satisfies both those conditions

someperson
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I love aops its the best I just finished the pre-algebra book

alexknapp
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OR you could... CHINESE REMAINDER THEOREM! That saved my butt during math team this year since modular arithmetic was one of the topics.

brandonmonsen
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Why do you try to disguise yourself as "the other guy" because the description clearly states that you are "Richard Rusczyk"

jangwoo
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this guy is crazy i think he escaped prison

nightterror