Visa Processing Office Scheduling
CAT 2023 Slot 1 · DILR · Medium · Logical Reasoning
Passage / data set
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:
- All slots were full.
- The number of US applications was the same in all the slots. The same was true for the other three categories.
- 50% of the applications were US applications.
- All applicants except Ira, Vijay and Nandini arrived on time.
- Vijay was called to a counter at 9:25 am.
Question 1 of 5
How many UK applications were scheduled on that day?
- A.
20
- B.
40
- C.
30
- D.
10
A
Explanation
There are 20 slots of 10 applications each = 200 total applications. US takes 50% = 100 applications (5 per slot). Analysis of the Schengen and Others arrival times reveals that UK has 1 application per slot. Over 20 slots, total UK applications = 20.
Question 2 of 5
What is the maximum possible value of the total time (in minutes, nearest to its integer value) required to process all applications in the Others category on that day?
150
Explanation
With 1 application per slot in Others category (total 20 applications) handled by 2 counters with 15 minutes processing time per application, total time required is minutes.
Question 3 of 5
Which of the following is the closest to the time when Nandini's application process got over?
- A.
9:35 am
- B.
9:50 am
- C.
9:37 am
- D.
9:45 am
C
Explanation
Schengen processing takes 12.5 minutes per application. Nandini gets called to the counter after Vijay finishing at 9:25 am + 12.5 mins = 9:37.5 am. The closest time listed is 9:37 am.
Question 4 of 5
Which of the following statements is false?
- A.
The application process of Mahira was completed before Nandini's.
- B.
The application process of Osman was completed before Vijay's.
- C.
The application process of Osman was completed before 9:45 am.
- D.
The application process of Mahira started after Nandini's.
B
Explanation
Osman was in the 9:30 am slot, whereas Vijay started his process at 9:25 am and finished around 9:37:30 am. Osman's process completed after Vijay's, making statement B false.
Question 5 of 5
When did the application processing for all US applicants get over on that day?
- A.
2:25 pm
- B.
3:40 pm
- C.
2:00 pm
- D.
2:05 pm
D
Explanation
100 US applications divided across 4 counters = 25 applications per counter. Each takes 10 minutes. Last slot (1:45 pm) has 5 applicants. The total processing time finishes at 2:05 pm.
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