Preston — Residents on Thursday rejected two attempts at major cuts to the proposed $11.9 million 2018-19 school budget and another effort to cut the $3.4 million town budget before agreeing to send both budgets to referendum.

Polls will be open from 6 a.m. to 8 p.m. June 12 at Town Hall.

Residents on Thursday voted against adding an advisory question to the referendum ballot to ask residents if they support having two resident state troopers for the entire 2018-19 fiscal year.

After the Board of Finance cut $120,000 from the town government budget in mid-May, the Board of Selectmen cut $45,000 from the resident state trooper budget. First Selectman Robert Congdon told the approximately 50 residents Thursday that the town would have two troopers for most of the year and would have to notify the state when funds are about to run out, and the second trooper would be removed from the town.

The Board of Finance also cut $120,000 from the proposed school budget prior to the town meeting. But proposals to cut another $500,000 or $335,000 from the $11.9 million school budget were overwhelmingly defeated Thursday. A proposal to cut the $3.4 million town government budget by another $125,000 also was defeated.