And what about modern ABC? 

I don't know about it......don't go through many books at a time . 10 may is close now.solve two-3 papers daily from arihant and following all time restrictions.analyse your mistakes and revise all subjects daily then solve paper.just by heart chemistry
They will ask you q based on theory nothing else maths is also scoring if you have practice .in physics 20 marks can be earned easily if you have studied boards seriously and remaining 30 marks of physics is of jee main level....so if you have not done jee part just leave it ..you can random tick any ans out of 30 and you will surely get 10 correct so a score of 180 is good to take admission in any college.
Wish you all the best for your exam!!!

Thanks alot, I'm solving papers from target publications it's a good one right?

Yes