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JEE Main20206 Sep 2020Morning ShiftMathematicsBinomial TheoremActual

If p denotes the fractional part of the number p , then 3 200 8 is equal to

Options

  1. A5 8
  2. B7 8
  3. C3 8
  4. D1 8

Correct answer

D. 1 8

Step-by-step solution

3 200 = 9 100 ⇒ ( 1 + 8 ) 100 = 1 + C 1 100 8 + C 2 100 8 2 + . . . 8 100 ⇒ 3 200 = 1 + 8 λ , where λ is some integer. ⇒ 3 200 8 = λ + 1 8 ⇒ 3 200 8 = 1 8

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