Humane Dynamix is a leadership training organization based in Mumbai. Established in 2015, the organization is gradually becoming a leader in behavioral training. In the organization, trainers are assigned to training projects based on their expertise. Corporates seek behavioral training services on a regular basis, from Humane Dynamix, for upskilling their executives. Humane Dynamix is headed by the Chief Executive Officer (CEO), to whom the Training Assignment Officer (TAO) reports. The TAO position rotates among the senior trainers for a fixed tenure; the CEO assigns this position to a senior trainer.
Companies, desirous of hiring Humane Dynamix, share their training needs with the organization. The TAO assigns a trainer to the client. Typically, the satisfied client requests for a particular trainer that the client is satisfied, giving repeat business to Humane Dynamix from the same client company. However, the TAO takes the nal call. Years of training experience plays a big role in client satisfaction, and hence, senior trainers conduct most training programs while the newly recruited trainers apprentice with them. However, the senior trainers have the autonomy to decide on who they want to accept as an apprentice..
Further, during a training program, the senior trainer takes most of the sessions, if not all, while the apprentice helps the senior trainers to organize their sessions, and occasionally take a few sessions. As the apprentices gain experience, they start getting their own independent projects, but that typically takes quite some time..
Dheeraj, a senior trainer, takes over as the TAO. As soon as he assumes the office, the CEO shares a concern with him: “We have a lot of young trainers who we have recently recruited. Since they are not known to the outside world, they do not get enough opportunities. Many of them are impatient to prove their mettle. Unless they are assigned more programs, we risk losing them rapidly.”
Light Chemicals is an industrial paint supplier with presence in three locations: Mumbai, Hyderabad and Bengaluru. The sunburst chart below shows the distribution of the number of employees of different departments of Light Chemicals. There are four departments: Finance, IT, HR and Sales. The employees are deployed in four ranks: junior, mid, senior and executive. The chart shows four levels: location, department, rank and gender (M: male, F: female). At every level, the number of employees at a location/department/rank/gender are proportional to the corresponding area of the region represented in the chart.
Due to some issues with the software, the data on junior female employees have gone missing. Notice that there are junior female employees in Mumbai HR, Sales and IT departments, Hyderabad HR department, and Bengaluru IT and Finance departments. The corresponding missing numbers are marked u, v, w, x, y and z in the diagram, respectively.
It is also known that:
a) Light Chemicals has a total of 210 junior employees.
b) Light Chemicals has a total of 146 employees in the IT department.
c) Light Chemicals has a total of 777 employees in the Hyderabad office.
d) In the Mumbai office, the number of female employees is 55.

An investment company, Win Lose, recruit's employees to trade in the share market. For newcomers, they have a one-year probation period. During this period, the employees are given Rs. 1 lakh per month to invest the way they see fit. They are evaluated at the end of every month, using the following criteria:
1. If the total loss in any span of three consecutive months exceeds Rs. 20,000, their services are terminated at the end of that 3-month period,
2. If the total loss in any span of six consecutive months exceeds Rs. 10,000, their services are terminated at the end of that 6-month period.
Further, at the end of the 12-month probation period, if there are losses on their overall investment, their services are terminated.
Ratan, Shri, Tamal and Upanshu started working for Win Lose in January. Ratan was terminated after 4 months, Shri was terminated after 7 months, Tamal was terminated after 10 months, while Upanshu was not terminated even after 12 months. The table below, partially, lists their monthly profits (in Rs. ‘000’) over the 12-month period, where x, y and z are masked information.
Note:
• A negative profit value indicates a loss.
• The value in any cell is an integer.
Illustration: As Upanshu is continuing after March, that means his total profit during January-March (2z +2z +0) ≥
Rs.20,000. Similarly, as he is continuing after June, his total profit during January − June ≥
Rs.10,000, as well as his total profit during April-June ≥ Rs.10,000.
Business schools’ (B schools) curriculums are filled with group assignments and case competitions. Even when students have just joined the B schools, corporate houses try 38 to catch good talent early by promising them internships based on case competitions. These competitions involve solving the problems presented by the organizations, analyzing the challenges they currently face, and presenting solutions in a manner that convinces the organizations’ representatives.
For students who are just joining a B school, the capability to actually solve such problems is quite limited. Because of that, the corporate houses generally are more focused on the presentations made by groups. Hence, the groups that communicate better, most often, win these competitions.
Abirami joins MBS, a B school. As a fresher, she believes she needs to learn a lot about how organizations work and wants to work with others who have joined MBS and have work experience.