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JEE Math Practice Question

Let Sn = $${1 \over {{1^3}}}$$$$ + {{1 + 2} \over {{1^3} + {2^3}}} + {{1 + 2 + 3} \over {{1^3} + {2^3} + {3^3}}} + ......... + {{1 + 2 + ....... + n} \over {{1^3} + {2^3} + ...... + {n^3}}}.$$ If 100 Sn = n, then n is equal to :

  1. A.199
  2. B.99
  3. C.200
  4. D.19

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