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99 Percentile Qs Bank for JEE MainMathematicsBinomial Theorem

The fractional part of 2 78 31 is

Options

  1. A2 31
  2. B4 31
  3. C6 31
  4. D8 31

Correct answer

D. 8 31

Step-by-step solution

2 78 = 2 3 ⋅ 2 75 = 8 2 5 15 = 8 31 + 1 15 = 8 15 C 0 3 1 15 + 15 C 1 3 1 14 + . . . . . . . . + 15 C 14 31 + 15 C 15 2 78 = 8 31 k + 1 2 78 31 = 8 k + 8 31

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