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KVPY2013MathematicsBasics of Mathematics

If a, b are natural numbers such that 2013+a²=b² , then the minimum possible value of a b is

Options

  1. A671
  2. B668
  3. C658
  4. D645

Correct answer

C. 658

Step-by-step solution

(b-a)(b+a)=2013=3 11 61ab minimum when b-a=33 array l b+a=61 a=14 array a b=14 47=658

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