Hello dear!!! 

 For a rank of 61400, a general category student can expect nits which are low leve or medium level and you may get the core level courses in low level nits and iiits only. 

So I suggest you that you apply for the counselling and be patient upto the last round of the counselling there are chances of you settling in the I nits or iiits. Please comment for more doubts. 

Thank you. 

Hello Swapnil,

You should apply for the counselling of JoSAA and/or CSAB. With your provided rank you might be able to get a decent GFTI.