You haven't mentioned your Category. Nevertheless, you do have fair chances to get shortlisted for IIM A,B,C,L with this profile. You also can be shortlisted for FMS. Here are the cut offs of IIMs for the year 2019-20.
IIM A:
UR,EWS
70
80
OBC-NC, Trans
65
75
SC
60
ST
50
PWD
PWD-ST
IIM B:
Category
QA
DILR
VARC
Overall Percentile
UR
85
OBC-NC
55
IIM C:
EWS
IIM K:
CAT Score Percentile
Sectional Percentile
10th%
12th%
GEN
NC-OBC/EWS
ST/PwD
45
IIM L:
Category Max. percentile Min. percentile Candidates
shortlisted
General
80.1477610
57.2758689
1268
67.3315265
37.7492879
312
NCOBC
74.5156740
40.8096421
910
65.1678234
29.3042899
792
57.6582980
13.5539200
337
General-PwD
72.8500793
20.7598089
130
EWS-PwD
19.3220316
1
NCOBC -PwD
51.1231825
20.7854308
3
SC-PwD
43.0947465
18.9296098
Total*
-
3766
IIM T:
Overall percentile
95
NC-OBC
78
30
40
DAP
IIM N:
Seats Available
Section 1 (VARC)
Section 2 (DILR)
Section 3 (QA)
Overall
97
72
24
76.5
36
18
DAP (Differently Abled Persons) (Horizontal Reservation across categories)
12
IIM Indore:
90
PwD
IIM Visakhapatnam:
Aggregate
NC –OBC
IIM J:
IIM Udaipur:
PQA
IIM Bodhgaya
IIM Amritsar:
35
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