Let N = $$55^3 + 17^3 - 72^3$$. N is divisible by: ?->(Show Answer!)

1. Let N = $$55^3 + 17^3 - 72^3$$. N is divisible by:

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By: anil on 05 May 2019 02.31 am

$$55^3 + 17^3 - 72^3$$ = $$(55-72)k + 17^3$$. This is divisible by 17 Remainder when $$55^3$$ is divided by 3 = 1 Remainder when $$17^3$$ is divided by 3 = -1 Remainder when $$72^3$$ is divided by 3 = 0 So, $$55^3 + 17^3 - 72^3$$ is divisible by 3 So, the answer is d) 3 and 17

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