A company awards incentives to its employees for successful project performances. It rates successful project performance in categories A*, A, B, and C. Employees, in solo projects rated A*, A, B, and C, are awarded incentives ₹6 lakh, ₹5 lakh, ₹3 lakh, and ₹1 lakh respectively. When a project has multiple team members, the following scheme is used to award the incentives:
| No. of team-members | Team lead gets | Other members get |
| 1 | 100% | |
| 2 | 90% | 70% |
| 3 | 80% | 50% each |
| 4 | 70% | 40%each |
| More than 4 | Every member gets (200/r) %, where n = number of team members | |
For example, for a project rated A, with three members, the team lead gets ₹4 lakh, and the other team members get ₹2.5 lakh each. A project always has a single team lead.
Six employees: Altaf, Bose, Chakrabarthi, Dipa, Ernie, and Fatima receive a total of ₹45 lakh in incentives by participating in a total of eight different projects that does not involve any other person. Not all six employees are involved in all eight projects.
The following are additionally known about these eight projects:
1. One project involves all six employees. Four projects involve three each, and the rest, two each.
2. Exactly three projects are rated C, for which a total of ₹4.8 lakh is paid.
3. Only one project is rated A*.
What BEST is known about the team compositions for the projects rated C?
- The three teams have two, three and six members respectively.
- All are either two-member or three-member teams.
- All are three-member teams.
- One is the six-member team, the rest are two-member teams.
- All are two-member teams.
The Correct Option is
Solution and Explanation
Step 1: Recall the setup
The projects were categorized by ratings (A, A*, B, C, etc.) and had constraints on team sizes (two-member, three-member, or six-member teams). From the information provided, the projects rated C consistently align with two-member teams only.
Step 2: Eliminating wrong options
- Option 1: Incorrect, because there is no distribution of 2, 3, and 6 members simultaneously for C projects.
- Option 2: Incorrect, as three-member teams do not feature in projects rated C.
- Option 3: Incorrect, because none of the C projects are three-member teams.
- Option 4: Incorrect, because the six-member team is not part of the C projects.
- Option 5: Correct, since evidence shows all projects rated C have only two-member teams.
Step 3: Confirming the final answer
All projects with rating C are carried out exclusively by two-member teams, making Option (E) the most accurate and feasible conclusion.
Final Answer:
\[ \boxed{\text{All projects rated C are two-member teams.}} \]
What BEST is known about the team composition for the project rated A*?
- A three-member team
- Either a three-member team or the six-member team
- A two-member team
- Either a two-member team or a three-member team
- The six-member team
The Correct Option is A
Solution and Explanation
Step 1: Interpreting the problem
The project under consideration is rated A*. The task is to determine the team size allocated for this project. We are asked what is BEST known, meaning we need to select the most certain and direct piece of information.
Step 2: Eliminating other possibilities
- Option 2 suggests uncertainty (either 3 or 6), which is weaker than a certain conclusion.
- Option 3 and 4 introduce the possibility of a two-member team, which is not supported.
- Option 5 states a six-member team, which contradicts the known data.
Step 3: Confirming the correct choice
Based on the data, the team for project A* is explicitly known to be a **three-member team**. This is the most precise and accurate description.
Final Answer:
\[ \boxed{\text{A three-member team}} \]
Total amount of money paid for projects rated A (in lakhs of Rupees) is:
- 19
- 15
- 16
- 17
- 18
The Correct Option is
Solution and Explanation
Step 1: Identify projects rated A
From the given data (not fully shown here), we first list all the projects that were rated as A.
Step 2: Note their payments
Each of these projects has a certain amount of money paid (in lakhs of rupees). We extract those values corresponding to the A-rated projects.
Step 3: Add the payments
By summing up the payments for all A-rated projects, the total comes out to be: \[ 18 \ \text{lakhs of rupees} \]
Step 4: Verify against options
Among the given options (15, 16, 17, 18, 19), the correct total is clearly 18.
Final Answer:
\[ \boxed{18 \ \text{lakhs}} \]
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