Cayley 2023 Part B - Question 11, CEMC UWaterloo

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This problem is tagged with cayley, cayley23, highschool.

(Cayley 2023, Part B, Question 11, CEMC - UWaterloo)

Karim has $23$ candies. He eats $n$ candies and divides the remaining candies equally among his three children so that each child gets an integer number of candies. Which of the following is not a possible value of $n$?
$(A)$ $2$
$(B)$ $5$
$(C)$ $9$
$(D)$ $11$
$(E)$ $14$

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