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JEE Math Practice Question

If $${(10)^9} + 2{(11)^1}\,({10^8}) + 3{(11)^2}\,{(10)^7} + ......... + 10{(11)^9} = k{(10)^9},$$, then k is equal to :

  1. A.100
  2. B.110
  3. C.$${{121} \over {10}}$$
  4. D.$${{441} \over {100}}$$

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