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MathNet 2007-part-01 — 187 problems (EN–VI) Question 180

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 180

If the number $4\nu + 3$, where $\nu$ is an integer, is a multiple of $11$, find:
(i) The form of the integer $\nu$,
(ii) The remainder of the division of $\nu^4$ with $11$.