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.
What BEST can be said about the value of \( x \)?
Show Hint
- \( x \) is a positive even number
- \( x \) is an even number between 10 and 14, both inclusive
- \( x = 10 \)
- \( x \) is a non-negative even number less than or equal to 10
- \( x \) is a non-negative even number less than or equal to 14
The Correct Option is A
Solution and Explanation
We are provided with the monthly profits for four employees, where \( x \), \( y \), and \( z \) are unknown values. The key to solving this is using the termination conditions for the probation period.
Step 2: Apply the conditions for termination.
For Ratan to be terminated after 4 months, the total loss in his first 3 months must exceed Rs. 20,000. Therefore, \( -20 -10 + x = 30 + x \). This means that \( x \geq 10 \). Thus, \( x \) must be a positive even number greater than or equal to 10.
Step 3: Conclusion.
Since \( x \) is a positive even number, the best description of \( x \) is that it is a positive even number. Therefore, the correct answer is (A).
What BEST can be said about the value of \( y \)?
Show Hint
- \( y = 56 \) or \( 58 \)
- \( y \) is an even number greater than 50
- \( y \) is an even number less than 60
- \( y = 58 \)
- \( y = 56 \)
The Correct Option is A
Solution and Explanation
We know from the earlier setup that \( y \) corresponds to some monthly data in the profit table. By examining the provided values and constraints (including the termination conditions for employees), we deduce that \( y \) can be either 56 or 58 based on the calculations involving the other values.
Step 2: Conclusion.
Thus, the best statement about \( y \) is that it can be either 56 or 58, so the correct answer is (A).
What BEST can be said about the profit generated by Upanshu at the end of his probation period?
Show Hint
- At most Rs. 110,000
- Rs. 109,000 exactly
- Rs. 107,000 exactly
- At least Rs. 147,000
- At least Rs. 107,000
The Correct Option is
Solution and Explanation
From the given information, we know that Upanshu continued his probation period beyond 12 months and his total profit during January-March (and continuing beyond March) is at least Rs. 20,000. Additionally, his profit for the entire probation period is at least Rs. 10,000 during January-June, which sets a baseline for his overall performance.
Step 2: Calculate the total profit.
Based on the constraints, Upanshu’s total profit at the end of his probation period cannot be lower than Rs. 107,000, considering the data provided and the termination conditions for other employees.
Step 3: Conclusion.
Thus, the best conclusion is that Upanshu's total profit is at least Rs. 107,000, making the correct answer (E).
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