Hello subhashree,

Dear Aspirant,As you said you got 60,000 rank in jee main and you are from SC category , female candidate.You didn't mentioned your domicile state because For college prediction under home quota .

I'm giving you list of colleges are participating in JoSSA counselling.The admission for below given colleges will be possible only if candidates register for JoSAA counselling.

Cut off may varies for every year depending on many factors like no.of candidates registered for jee exam,no.of seats available, paper toughness, previous year cutoff trends,etc.Based on previous year  JEE main rank cutoff for the colleges accepting rank between 50,000 to 70,000 :-

• NIT, Goa-ECE-53,533 rank,CE-60,744, CSE-55,718.
• NIT, Harmirpur-EEE-63,971, ECE-56,274, mech-67,819.
• NIT, Meghalaya-civil-51,494.
• NIT, Nagaland-civil-52,188.
• NIT,puducherry-Ece-66,084,cse-56,069.
• NIT, Raipur,eee-53,794.
• NIT,arunachal pradesh-cse-69,745.
• NIT,silchar, Ece-72,8273.
• NIT, Srinagar-Ece-50,179.
• Gurukula kangri vishwavidhyalaya,haridwar-EEE-55,948.
• Mizoram university, aizwal-cse-50,518.

These are some college which accepts cutoff rank between 50 to 70 thousand.I will recommend you to first apply for your home state colleges you can get state quota seat.You have very good chances for NITs even you can try for these colleges in special rounds of counselling.

For more information please visit the given link :-

https://engineering.careers360.com/articles/jee-main-cutoff

I will recommend you to use our college predictor tool based on your jee main rank :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Feel free to ask if you have any questions.

All the very best for your admission in your desired college.