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A radioactive nucleus (initial mass number A and atomic number Z) emits 3 $\alpha$ particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be


( A ) $\large\frac{A-Z-12}{Z-4}$
( B ) $\large\frac{A-Z-8}{Z-4}$
( C ) $\large\frac{A-Z-4}{Z-8}$
( D ) $\large\frac{A-Z-4}{Z-2}$

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