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Question :

Directions : The following table shows the student profile in five IIMs. The students is categorised into two groups: Engineer and Non-engineer. Further, they are categorised into two categories: Fresher and Experienced.

Fresher engineers : experienced non-engineersExperienced engineers - Fresher non-engineersNumber of freshersNumber of non-engineers
IIM A5:2168248128
IIM B11:4131320152
IIM C7:544253207
IIM L9:4136336191
IIM K15:7120205117

What is the difference between the number of fresher engineers and experienced non-engineers at IIM B?

1. 180

2. 178

3. 168

4. 164

5. 154

Correct Answer : 3
Solution :

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:

EngineerNon-engineer
FresherExperiencedFresherExperienced
IIM A2002164880
IIM B2641875696
IIM C16113692115
IIM L26121175116
IIM K1651604077

Required difference = 264 - 96 = 168

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