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JEE Math Practice Question

If for a positive integer n, the quadratic equation $$x\left( {x + 1} \right) + \left( {x + 1} \right)\left( {x + 2} \right)$$$$ + .... + \left( {x + \overline {n - 1} } \right)\left( {x + n} \right)$$$$ = 10n$$ has two consecutive integral solutions, then n is equal to :

  1. A.9
  2. B.10
  3. C.11
  4. D.12

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