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MathNet 2010 — Part 03 Question 142

Math Olympiad Vault · MathNet 2010 — Part 03

Question 142

For how many integers relative $n$ do we have that $\frac{3 n}{n+5}$ is integer and divisible by $4$?
(A) 1
(B) 2
(C) 4
(D) 8
(E) more than 8.