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COMEDK2024MathematicsBinomial Theorem

(2^ 4 n -1 ) is divisible by

Options

  1. A8
  2. B7
  3. C15
  4. D16

Correct answer

C. 15

Step-by-step solution

We have, 2^ 4 n -1=16^n-1 a^n-1 is divisible by a-1 16^n-1 is divisible by 16-1=15

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