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Option 3 : Assumptions I, II and Ill all are implicit.

  1. The use of a warning implies that the action of leaning out of the moving train is harmful. Therefore, assumption 1 is implicit.
  2. The authorities would put up a warning only if they believe that it can restrain people from leaning out of a moving train. Therefore, assumption 2 is implicit.
  3. As the warning was posted in the railway compartment, it is implicit that passengers' safety is the responsibility of the railway authorities. Therefore, assumption 3 is implicit.

Hence, "Assumptions I, II and Ill all are implicit." is the correct answer.

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