Hello student,
With a cut off of 168 in the general category, you have chances of procuring a seat in the following colleges when comparing the results of previous years.

• Hindustan college of engineering and technology
• Jansons college of engineering and technology
• Maharaja college of engineering and technology
• Karpagam college of engineering and technology
• SNS college of technology
• Bannari Amman institute of technology

The above mentioned colleges are based on the trends of the past years. However you can go through the following link to know about the cut off's and ranks for the previous years and calculate your chances of selection
https://www.google.com/amp/s/engineering.careers360.com/articles/tnea-cutoff/amp
About the random number, a lot of candidates would lie in the same cut off 168, this based on the priorities, like one with more marks in maths first, then physics then chemistry are seen and random number is allotted.
Good luck

Anna University, Chennai

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