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JEE Main2017MathematicsBinomial TheoremActual

If 27 999 is divided by 7 , then the remainder is

Options

  1. A3
  2. B1
  3. C6
  4. D2

Correct answer

C. 6

Step-by-step solution

Given, ( 27 ) 999 = 28 - 1 999 7 = 28 λ - 1 7 = 28 λ - 7 + 7 - 1 7 = 7 4 λ - 1 + 6 7 ∴ Remainder = 6

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