$A$ screen is placed $100 \,cm$ from an object. The image of the object on the screen is formed by a convex lens at two different locations separated by $20 \,cm$. The focal length of the lens is (in $\,cm$)

  • A
    $18$
  • B
    $24$
  • C
    $25$
  • D
    $30$

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