In the year 2021 government only released percentile. Based on your percentile you can expect the rank. You can analyze your rank by seeing your percentile. Every year the rank analysis will be changed. I think for 140 Mark's  the approx rank will be 35,001 to 50,000.

Hello,

Based on our JEE Main Rank Predictor results the expected percentile is in between 96.84 - 98.24 and the expected rank is in between  20240- 36340. To check the expected rank with percentile score or marks you can use our JEE Main Rank predictor using the link below

Considering the previous year cut off in JoSAA round 6 counselling you have chances of getting seat in

• National Institute of Technology Agartala: Civil Engineering
• National Institute of Technology Hamirpur: Mechanical Engineering
• National Institute of Technology Patna: Electrical Engineering
• National Institute of Technology Arunachal Pradesh: Electronics and Communication Engineering

But cut off tends to change every year depending on previous year cut off difficulty level of exam paper, total number of seats available.

To get the complete list of colleges in which you have chances of getting seat in use our JEE Main college predictor tool

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

Use the links given below to check the cut off for NITs and IIITs

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

https://josaa.nic.in/Result/Result/currentorcr.aspx