Hello aspirant, asper your question we have looked up into some investigation about the best of colleges and found both the colleges are good .., here are some of the features  you go for the look into it and choose the right one..

• The institute of Engineering and Technology Lucknow is a state government-funded engineering college of Lucknow, uttar pradesh, India. It is a constituent college of Dr.A.P.J Abdul Kalam technical university.
• J.S.S.  Noida academy of technical education,  in its full name Jagadguru sri shivarathreeshwara academy of technical education, Noida is a private engineering educational institute situated in sector 62, and affialiated to A.P.J Abdul Kalam.

Just go for the comparision between the two colleges and find the one which suits for your performance,, all the best for your future.