A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.
There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.
On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.
The following additional information is known about that day.1. All slots were full.2. The number of US applications was the same in all the slots. The same was true for the other three categories.3. 50% of the applications were US applications.4. All applicants except Ira, Vijay and Nandini arrived on time.5. Vijay was called to a counter at 9:25 am.

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Which of the following statements is false?

Question

A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.
There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.
On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.
The following additional information is known about that day.1. All slots were full.2. The number of US applications was the same in all the slots. The same was true for the other three categories.3. 50% of the applications were US applications.4. All applicants except Ira, Vijay and Nandini arrived on time.5. Vijay was called to a counter at 9:25 am.

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Which of the following statements is false?

Accepted Answer

#### **Key Information:**
1. **Processing Time Per Application:**  
   - Each Schengen application requires **15 minutes** for processing.  
   - Others applications likely require **10 minutes**, as inferred from the problem.

2. **Sequence of Events:**  
   - Ira, Vijay, and Nandini were scheduled for Schengen visa processing at **9:15 am**, but entered late at **9:20 am**.  
   - Vijay was called to a counter at **9:25 am**, meaning processing for Schengen applications began after their arrival.  
   - Mahira and Osman were scheduled for Others visa processing at **9:30 am**.

3. **Counter Availability:**  
   - There are **2 counters dedicated to Schengen applications** and **2 counters for Others applications**, allowing simultaneous processing within each category.

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#### **Step-by-Step Deduction:**
1. **Processing Start and End Times for Mahira and Osman (Others):**  
   - Both Mahira and Osman were scheduled at **9:30 am**, and Others applications require **10 minutes each**.  
   - Mahira’s processing starts at **9:30 am** and ends at **9:40 am**.  
   - Osman’s processing starts at **9:40 am** and ends at **9:50 am**.

2. **Processing Start and End Times for Ira, Vijay, and Nandini (Schengen):**  
   - Vijay was called at **9:25 am**, indicating that Ira’s processing also started around this time (since two counters are available).  
   - Ira and Vijay finish their processing at approximately **9:40 am** (15 minutes each).  
   - Nandini’s processing starts immediately after a counter is freed at **9:40 am**, ending at approximately **9:55 am**.

3. **Comparison of Processing Times:**  
   - Mahira’s application process ends earlier than Nandini’s (**9:40 am vs 9:55 am**)—Statement A is true.  
   - Osman’s application process ends earlier than Vijay’s (**9:50 am vs 9:40 am**)—Statement B is false.  
   - Osman’s application process ends before 9:45 am—Statement C is true.

4. **Statement D Analysis:**  
   - Mahira started her application process at 9:30 am, while Nandini started hers later, at 9:40 am—Statement D is false.

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#### **Conclusion:**
The false statement is **D (The application process of Mahira started after Nandini's)**, making it the correct answer.

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