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A shipping clerk has five boxes of different but unknown weights each weighing less than $100$ kg. The clerk weighs the boxes in pairs. The weights obtained are $110, 112, 113, 114, 115, 116, 117, 118, 120$ and $121$ kg. What is the weight, in kg, of the heaviest box?

  1. $60$ 
  2. $62$
  3. $64$ 
  4. Cannot be determined


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