The Congress has established initial leads only on five seats while its partners Bodoland Peoples Front on two seats and All India United Democratic Front (AIUDF) on one seat.
Security measures have been heightened in view of the violence in the previous phases, particularly the death of five people in Cooch Behar in the fourth round of polling.
Altogether 79,19,641 voters -- 40,11,539 men, 39,07,963 women and 139 of the third gender -- are entitled to exercise their franchise in 11,401 polling stations.
The ruling LDF is hoping to retain power for a second consecutive term breaking the state's four-decades-old trend of alternating between the UDF every five year.
A total of 264 candidates are in the fray from 47 seats-- 42 seats from 11 districts of Upper Assam and northern Assam region and five seats from central Assam's Nagaon district.
"We are being called 'tourists', fun is being made of us, we are being insulted. Didi, people of Rabindranath's Bengal don't consider anybody outsider," Modi added.