We have used the Fermilab 30-in. bubble-chamber-hybrid spectrometer to study neutral-strangeparticle production in the interactions of 200-GeV/c protons and a+ and K + mesons with nuclei of gold, silver, and magnesium. Average multiplicities and inclusive cross sections for KO and A are measured, and a power law is found to give a good description of their A dependence. The exponent characterizing the A dependence is consistent with being the same for KO and A production, and also the same for proton and at beams. Average KO and A multiplicities, as well as their ratio, have been measured as functions of the numbers of projectile collisions v, and secondary collisions v, in the nucleus, and indicate that rescattering contributes significantly to enhancement of A production but not to KO production. The properties of events with multiple KO' s or A's also corroborate this conclusion. KO rapidities are in the central region and decrease gently with increasing v,, while A rapidities are in the targetfragmentation region and are independent of v,. KO and A multiplicities increase with the rapidity loss of the projectile, but their rapidities do not.PACS number(s): 13.85. Ni, 25.40.Ve,