In a class of $140$ students numbered $1$ to $140$, all even numbered students opted Mathematics course, those whose number is divisible by $3$ opted Physics course and those whose number is divisible by $5$ opted Chemistry course. Then the number of students who did not opt for any of the three courses is

  • [JEE MAIN 2019]
  • A

    $102$

  • B

    $42$

  • C

    $1$

  • D

    $38$

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  • [KVPY 2021]

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