Solution:

Kasargod is the last formed (14th) district in Kerala. It was formed in 1984 and is the northernmost district in Kerala. It has the largest number of rivers in Kerala.
Kasargod is the second smallest district in Kerala in terms of area. It has 5.13% of the total area of Kerala.
Alappuzha is the smallest district. It has 3.64% area of the state.
The Central Tuber Crops Research Institute (CTCRI) is located at Sreekaryam in Thiruvananthapuram.
The headquarters of Plantation Corporation is Kottayam.
The Pepper Research Centre is at Panniyur in Kannur district.