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2002 AMC 10A Problem 22

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2002 AMC 10A Problem 22AMC 10 Step by Step

Name: Date: September 13, 2026

Number Properties · difficulty 4 of 5 · about 6 min · position P21-25

A set of tiles numbered 1 through 100 is modified repeatedly by the following operation: remove all tiles numbered with a perfect square, and renumber the remaining tiles consecutively starting with 1. How many times must the operation be performed to reduce the number of tiles in the set to one?

A)
$10$
B)
$11$
C)
$18$
D)
$19$
E)
$20$

2002 AMC 10A Problem 22

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