Question

If more than 50% of their sales volume is from generic drugs, which of the following options is definitely correct?
\textit{(Note: All percentage figures are with respect to total sales volume.)}

• A. If sales volume of patented drugs in India is 43%, the sales volume of generic drugs in India will be less than 43%.
• B. If the sales volume of generic drugs in foreign countries is at least 24%, the sales volume of patented drugs in India will be above 24%.
• C. If the sales volume of patented drugs in India is 54%, the sales volume of generic drugs in foreign countries will be above 54%.
• D. If the sales volume of patented drugs in India is 29%, the sales volume of generic drugs in foreign countries will be above 29%.
• E. If the sales volume of generic drugs in India is at least 60%, the sales volume of patented drugs in foreign countries will be above 60%.
• A. I, III, II
• B. II, I, III
• C. II, I, III
• D. IV, II, III
• J. IV, III, I
• A. Giving a salary hike to Mr.\ Jose with a promise to transfer Mrs.\ Jose to Luxembourg in the near future.
• B. Giving Mrs.\ Jose option to work from home while in Luxembourg so that she can be with Mr.\ Jose.
• C. Giving Mr.\ Jose option to work from India for the time being so that he can be with Mrs.\ Jose in India.
• D. Giving a salary hike to Mr.\ Jose to compensate for Mrs.\ Jose’s salary so that she can join Mr.\ Jose at Luxembourg, even with loss of pay.
• O. Asking Mr.\ Jose to accept the offer right now but give him up to six months to join Luxembourg office.
• A. I & II
• B. I & III
• C. I & IV
• D. II & V
• T. III & V

Answer 1

The Correct Option is D

Let the sales be split across two regions—India and Foreign—and two categories—Generic (G) and Patented (P). Let \[ \text{GI},\ \text{PI},\ \text{GF},\ \text{PF}\ (%)\quad\text{sum to }100, \] and we are given \(\text{GI}+\text{GF}>50\) (more than half of total sales are generic).

Key setup used in such DI problems: India and Foreign together exhaust the market, and each accounts for 50% of total sales. (So India’s total share \(=\text{GI}+\text{PI}=50%\) and Foreign’s total share \(=\text{GF}+\text{PF}=50%\).)
Under option (D), \(\text{PI}=29%\). Since India totals 50%, we get \[ \text{GI}=50-29=21%. \] Because total Generic exceeds 50%, \[ \text{GF}>\,50-\text{GI}=50-21=29%. \] Hence \(\boxed{GF}>29%}\)\), which makes (D) {definitely} true. 
 Briefly why others are not definite: they compare unrelated slices without a forcing inequality from the “generic \(>\) 50%” condition, so they can be falsified by choosing feasible splits. \[ \boxed{\text{Option D is the only statement that must hold.}} \]

Answer 2

- First, Mr. Sinha should invest in the development of new drugs, which will address the long-term sustainability of the business. This comes first because creating new products can help differentiate LSP from competitors.
- Next, reducing costs is essential to ensure profitability and competitive advantage, which is why "III" follows.
- Increasing the sales of cough syrup, although useful, is more of a short-term tactic compared to the development of new drugs, making it last in the sequence. \[ \boxed{A} \]

Answer 3

The organization needs Mr.\ Jose to join Luxembourg immediately because the office is at a critical stage.
The obstacle is that Mr.\ Jose and his wife want to stay together, especially since they are expecting a child.
- Option A: Promising a future transfer of Mrs.\ Jose is uncertain and may not address the immediate issue.
- Option B: Allowing Mrs.\ Jose to work remotely from Luxembourg ensures that both remain together, Mr.\ Jose can take up the assignment, and Mrs.\ Jose’s professional role continues. This is both practical and supportive.
- Option C: Keeping Mr.\ Jose in India defeats the purpose of strengthening the Luxembourg office.
- Option D: Compensation through salary does not resolve Mrs.\ Jose’s career needs and may still create dissatisfaction.
- Option E: Postponing the transfer delays critical work at Luxembourg.
Thus, the most appropriate solution from the organization’s perspective is Option B.
\[ \boxed{\text{Give Mrs.\ Jose the option to work from home while in Luxembourg.}} \]

Answer 4

Step 1: Identify the immediate feasible actions.
- Option I (taking a break) is feasible but not optimal since it risks career stability unnecessarily.
- Option II (temporary unpaid leave to support Mr. Khan) is practical because it allows Mrs. Khan to maintain her position in India while being with her husband temporarily.
- Option V (requesting LSP India for a similar role in LSP USA) is also reasonable, as she can continue her career within the same organization while relocating.
Step 2: Eliminate long-term or less feasible options.
- Option III depends on Mr. Khan’s job search and is not immediately actionable.
- Option IV (resignation) is drastic and not the best immediate step to balance work and family.
Step 3: Final choice.
The best immediate sequence of actions is a combination of II and V.
\[ \boxed{\text{Answer: (D) II & V}} \]