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JEE Math Practice Question

Statement - 1 : The variance of first n even natural numbers is $${{{n^2} - 1} \over 4}$$ Statement - 2 : The sum of first n natural numbers is $${{n\left( {n + 1} \right)} \over 2}$$ and the sum of squares of first n natural numbers is $${{n\left( {n + 1} \right)\left( {2n + 1} \right)} \over 6}$$

  1. A.Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
  2. B.Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
  3. C.Statement-1 is true, Statement-2 is false
  4. D.Statement-1 is false, Statement-2 is true

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