Hello aspirant

With 5678rank in apeamcet and sc category you have less chances to get veterinary course in government college based on  last year cut offs.

As of last year cut offs for veterinary , sc are

Non farmer quota-2268rank

Farmer quota-4168rank

You may get seat in agriculture and horticulture as their cut offs are

Agriculture

Non farmer quota-general-6500rank, women-4074rank

Farmer quota-general-8420rank, women-7039rank

Horticulture

Non farmer quota-general-8692rank, women-8615rank

Farmer quota-general-12701rank, women-11896rank

These cut offs are subject to change depending on difficulty of paper and number of students who attended the counseling.

Hope this helps. All the best.