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Solution
$$55^3 + 17^3 - 72^3$$ = $$(55-72)k + 17^3$$. 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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