MathDB
Math Prize 2013 Problem 14

Source:

September 10, 2013
inequalitiesceiling function

Problem Statement

How many positive integers nn satisfy the inequality ⌈n101⌉+1>n100 ? \left\lceil \frac{n}{101} \right\rceil + 1 > \frac{n}{100} \, ? Recall that ⌈a⌉\lceil a \rceil is the least integer that is greater than or equal to aa.
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