Yes Aakash institution has published answer key of IIT JEE exam 2016, as you are looking for its answer key so I am providing on your demand :

01.
1
02.
(2, 4)
03.
3
04.
4
05.
1
06.
4
07.
1
08.
2
09.
1
10.
4
11.
3
12.
1
13.
3
14.
3
15.
4
16.
4
17.
4
18.
1
19.
4
20.
3
21.
1

IIT JEE Solutions key published by Aakash institution