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KVPY2012MathematicsSets and Relations

The number of ordered pairs ( m , n ) , where m , n 1,2,3, , 50 , such that 6^ m +9^ n is a multiple of 5 is -

Options

  1. A1250
  2. B2500
  3. C625
  4. D500

Correct answer

A. 1250

Step-by-step solution

m can be any value and n will be odd number then sum is multiple of 5 50 25=1250

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