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  • Directions for question : M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with

Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Option: 1

September 2020

 

 


Option: 2

May 2021


Option: 3

January 2021

 


Option: 4

January 2022 


Answers (1)

Test in the month of

Total MT test takers (A)

Total MTs fired (B)

Total second time test taker MTs (C)

Total MTs selected as MEs (D)  

Total new test taker MTs (E = A - C)

MTs eligible to retake test after 4 months (C = A - B - D)

Sept 2019

232

36

X

100

X

96

Jan 2020

224

44

96

100

128

80

May 2020

188

36

80

100

108

52

Sept 2020

204

28

52

100

152

76

Jan 2021

216

40

76

100

140

76

May 2021

208

32

76

100

132

76

Sept 2021

180

28

76

100

104

52

Jan 2022

208

44

52

100

156

64

May 2022

192

36

64

100

128

56

Number of Management Trainees (MT) who got confirmed as a Management Executive (ME) in the second attempt = Number of Management Trainees (MT) who were second time test takers – Number of Management Trainees (MT) who got fired.

So, the number of Management Trainees (MT) who got confirmed as a Management Executive (ME) in the second attempt were as follows :

a) January 2020 : 96 – 44 = 52, 

b) May 2020 : 80 – 36 = 44, 

c) September 2020 : 52 – 28 = 24, 

d) January 2021 : 76 – 40 = 36, 

e) May 2021 : 76 – 32 = 44, 

f) September 2021 : 76 – 28 = 48, 

g) January 2022 : 52 – 44 = 8, and 

h) May 2022 : 64 – 36 = 28.

Hence, the minimum number of Management Trainees (MT) who got confirmed as a Management Executive (ME) in the second attempt was in January 2022 (8)

 

Posted by

Sumit Saini

View full answer

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