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MathNet 2024-part-04 — 168 problems (EN–VI) Question 17

Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)

Question 17

Caitlin took a long walk each day in October. Only on the 16 days when rain was expected, she took an umbrella with her. Of the 31 days of October, the rain forecast was correct on exactly 21 days. Fortunately, on the days when it rained, Caitlin always had her umbrella with her.
On how many days did it *not* rain?

A) 6
B) 10
C) 16
D) 21
E) 25