The answer key for Mechanical Engineering program of Graduate Aptitude Test in Engineering (GATE) 2016 as you wants to take admission in IIT Mumbai is as follows:

Non Technical
1. (a)
2. (b)
3. (a)
4. (a)
5. (c)
6. (c)
7. (b)
8. (d)
9. (c)
10. (c)

Technical Section
1. (d)
2. (b)
3. (a)
4. (a)
5. 1.5639
6.57.74
7. (c )
8. ( a )
9. ( d )
10. 200

IIT Mumbai GATE ME Answer Key 2016