If JEE main marks is 150 and Bihar board marks is 60% than which of the government college can get
But you can always wait as sometimes in The CSAB round when many seats remain vacant sometimes they rest their board criteria and thus allow students with lower board marks to get Seats
So you should wait and just pray for some luck to be beside you side.
Your JEE marks are good but I think board marks can land you in trouble.
Hope this helps.
Best of luck!!!

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