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NDA2018MathematicsBasics of MathematicsActual

What is the greatest integer among the following by which the number 5^5+7^5 is divisible?

Options

  1. A6
  2. B8
  3. C11
  4. D12

Correct answer

D. 12

Step-by-step solution

We know, a ^ n + b ^ n is divisible by ( a + b ) , if n is odd. Here, n =5 is odd 5^5+7^5 is divisible by 5+7=12

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