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KCET2010MathematicsMathematical Reasoning

The greatest value of x satisfying 21 385( x) and 587 167( x) is

Options

  1. A156
  2. B32
  3. C28
  4. D56

Correct answer

C. 28

Step-by-step solution

We know that, a b ( x )= ( a - b ) x Given, 21 385( x )= (21-385) x =- 364 x ...(i) and 587 167( x) = (587-167) x = 420 x ...(ii) Now, the greatest value of ' x ' satisfying Eq. (i) and Eq. (ii) = [ LCM of (364,420) ] array ll & x= (13,15,28) & x=28 array

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