What is the difference between MCA (science) and MCA (management)? Which exam appearance is mandatory for them?

That is not exactly MCA (Science or Management), that is only MCA (master in computer application) which is a good course for carrier in computer(hard/soft ware) as well as commercial course for jobs in Industries.

Hi MCA Science is a degree course which is a technical degree. There are different sectors which absorbs MCA professionals, generally in their Information Technology department. MCA management would be mainly for commerce graduates and trains you for business management sector. The entrance for both