Hello dear student,

As you said you have scored 68 percentile in JEE mains so we can calculate your rank and on the basis of that we can see if you can get a college or not. As you Category is also important for this , which you haven't mentioned

100- 68 *869010/100 = 278,083.2

So it's really difficult for us to say if you will get a government college with this rank . While here I am providing you a link where you can predict which is the college that you can get under this percentile and rank.

Thank you

Hello student I request you to please help me with your preferable category so that I can check and provide you the exact information, you can calculate and get your rank by using this formula

100 - (your total percentile) 869010 /100

In your case your rank must be around - 278, 083.

If you're from Genral category its difficult to get admission in any government engineering course with this rank as we all know that seats are very limited and admission is directly based on merit rank.

Feel free to comment if you have any doubt

Good luck