InterviewSolution
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InterviewSolution
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If `x^(3) -= x` (mod 3), then x can be __________.A. 2B. 5C. 4D. All of these |
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Answer» Correct Answer - D Given `x^(3) -= x` (mod 3) `x^(3) - x` is divisible by 3. `x(x^(2) - 1)` is divisible by 3. `(x-1) x(x+1)` is divisible by 3. `x-1, x, x +1` are three consecutive numbers. We know that the product of three consecutive numbers is always divisible by 3. `:.` For any integer of x (where `x ge 2`), the given relation is true. |
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