Agriculture and Processed Development Authority (APEDA) was came in existence in

The Agriculture and Processed Food Products Export Development Authority (APEDA) was established in 1986 under the Ministry of Commerce, Government of India. The primary objective of APEDA is to promote the export of processed agricultural products from India.

APEDA plays a crucial role in supporting and promoting the export of various agricultural products such as fruits, vegetables, spices, meat, and processed foods. It also helps in implementing quality standards and providing financial assistance to exporters.

Therefore, the correct answer is Option E: 1986, as APEDA was officially formed in this year to foster the development of agricultural exports.