Competition problem — Number theory

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Number theory Difficulty 4.6 AIME Find the answer

20. Randomly select a real number $x$ between 100 and 200. If $[\sqrt{x}]=12$ , then the probability that $[\sqrt{100 x}]=120$ is $\qquad$

Pick one

Solution

$B$

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.