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How many integers are greater than $20 + 18$ and also less than $20 \times 18$?

(A) $320$ (B) $321$ (C) $322$ (D) $323$ (E) $324$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.