The required cutoff partially depends upon the difficulty level of the NIMCET paper since it varies from one year to another.
However, for the previous two years, NITK was the conductor of the NIMCET exam and was actually announcing the ranks based on the scores predetermined by the authorities. For further securing admission at NIT Trichy, you are required to score around 800 or above if only the paper is comparatively easy and you belong from the general category.
In case the paper is somewhat moderate in its difficulty level, then achieving 700 and above can help you secure admission to NIT Trichy. But, if it is undeniably difficult, then 500+ is supposed to be quite enough for securing a seat at NIT Trichy.