Library / /252 of 472

, 2011

Number theory Difficulty 2.0 Junior Find the answer Canada

The set $S = \{1, 2, 3, \ldots, 49, 50\}$ contains the first $50$ positive integers. After the multiples of $2$ and the multiples of $3$ are removed, how many numbers remain in the set $S$ ?

(A) $8$ (B) $9$ (C) $16$ (D) $17$ (E) $18$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.