If ${N_a} = \{an : n \in N\}$,then the set ${N_6} \cap {N_8} = $

  • A
    ${N_6}$
  • B
    ${N_8}$
  • C
    ${N_{24}}$
  • D
    ${N_{48}}$

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$A$ class has $175$ students. The following data shows the number of students opting for one or more subjects: Mathematics $100$,Physics $70$,Chemistry $40$; Mathematics and Physics $30$,Mathematics and Chemistry $28$,Physics and Chemistry $23$; Mathematics,Physics,and Chemistry $18$. How many students have opted for Mathematics alone?

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