IIM A:
Let the number of fresher engineers and experienced non-engineers be 5a and 2a respectively.
Number of fresher non-engineers = 248  -  5a
Also, number of fresher non-engineers = 128  -  2a
So, 248  -  5a = 128  -  2a
3a = 120
a = 40
Number of Fresher Engineers = 200
Number of Experienced non-engineers = 80
Number of fresher non-engineers = 248  -  5a = 48
Also, number of Experienced engineers = 168 + 48 = 216
IIM B:
Let the number of fresher engineers and experienced non-engineers be 11b and 4b respectively.
So, 320  -  11b = 152  -  4b
7b = 168
b = 24
Number of Fresher Engineers = 264
Number of Experienced non-engineers = 96
Number of fresher non-engineers = 320  -  11b = 56
Also, number of experienced engineers = 187
IIM C:
Let the number of fresher engineers and experienced non-engineers be 7c and 5c respectively.
So, 253  -  7c = 207  -  5c
2c = 46
c = 23
Number of Fresher Engineers = 161
Number of Experienced non-engineers = 115
Number of fresher non-engineers = 253  -  7c = 92
Also, number of experienced engineers = 136
IIM L: 
Let the number of fresher engineers and experienced non-engineers be 11l and 4l respectively.
So, 336  -  9l = 191  -  4l
5l = 145
l = 29
Number of Fresher Engineers = 261
Number of Experienced non-engineers = 116
Number of fresher non-engineers = 336  -  9l = 75
Also, number of experienced engineers = 211
IIM K:
Let the number of fresher engineers and experienced non-engineers be 15k and 7k respectively.
So, 205  -  15k = 117  -  7k 
8k = 88
k = 11
Number of Fresher Engineers = 15k = 165
Number of Experienced non-engineers =7k = 77
Number of fresher non-engineers = 205  -  15k = 40
Also, number of Experienced engineers = 120 + 40 = 160
Tabulating the data:
|  | Engineer | Non-engineer | 
|  | Fresher | Experienced | Fresher | Experienced | 
| IIM A | 200 | 216 | 48 | 80 | 
| IIM B | 264 | 187 | 56 | 96 | 
| IIM C | 161 | 136 | 92 | 115 | 
| IIM L | 261 | 211 | 75 | 116 | 
| IIM K | 165 | 160 | 40 | 77 | 
Required difference = 264  -  96 = 168