Hi

As per previous year cutoffs(2018 and 2017), you cannot get Mechanical branch at this score.

But as per 2016 and 2015 cutoffs, you may get Mechanical at -

Indian Institute of Technology Bhubaneswar

Indian Institute of Technology Jodhpur

Indian Institute of Technology Mandi

Indian School of Mines Dhanbad

Indian Institute of Technology Patna

Indian Institute of Technology Tirupati

Indian Institute of Technology Palakkad

Indian Institute of Technology Goa

Indian Institute of Technology Bhilai

Indian Institute of Technology Dharwad

Indian Institute of Technology Jammu

So you may get Mechanical at the new IITs. Can't say more now.

For further information check this link: https://engineering.careers360.com/articles/iits-cutoff-for-b-tech-mechanical-engineering

Best of Luck.

Hope this helps.

Cheers!