Hello Prabhav,

UPTU is the entrance examination for various engineering colleges in Uttar Pradesh.

You live in Allahabad which is in UP so you'll definitely get home state quota.

Now, coming to college HBTU, Kanpur & IET Lucknow is considered as one of the best colleges offered through UPTU.

With your above mentioned rank you'll definitely get core branch in IET Luvknow.

Hope this helps.

Good Luck!!