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JEE Main202224 Jun 2022Morning ShiftMathematicsBinomial TheoremActual

The remainder when 3 2022 is divided by 5 is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

3 2 1011 = 10 - 1 1011 = - 1 - 10 1011 = - 1 - C 1011 1 10 + C 2 1011 10 2 … = 10 q - 1 So, here the remainder will be 5 - 1 = 4

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