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A CNC vertical milling machine has to cut a straight slot of $10$ mm width and $2$ mm depth by a cutter of $10$ mm diameter between points $(0,0)$ and $(100,100)$ on the XY plane (dimensions in mm). The feed rate used for milling is $50$ mm/min, Milling time for the slot ( in seconds) is

  1. $120$
  2. $170$
  3. $180$
  4. $240$
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