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KCET2013MathematicsBinomial Theorem

The remainder when, 10¹⁰ (10¹⁰+1 ) (10¹⁰+2 ) is divided by 6 is

Options

  1. A2
  2. B4
  3. C0
  4. D6

Correct answer

C. 0

Step-by-step solution

Here, 10¹⁰ (10¹⁰+1 ) (10¹⁰+2 ) is a product of 3 consecutive integers. Therefore, it is divisible by 3 ! i.e., 6 . So, required remainder is 0 .

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