The difference of cubes of two consecutive numbers is always divisible by 3.

True

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False

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Solution

The correct option is B
False

Take two numbers, for example, 2 and 1 and check.

The difference of cubes of 2 and 1 is 7, which is not divisible by 3.

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The difference of cubes of two concecutive numbers is always divisible by 3.

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