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.
Question 6-
How many UK applications were scheduled on that day?
Explanation
Answer- Possible Answer: 0
Question 7-
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?
Explanation
Answer- Possible Answer: 200
Question 8-
Which of the following is the closest to the time when Nandini’s application process
got over?
1. 9:45 am
2. 9:35 am
3. 9:50 am
4. 9:37 am
Explanation
Answer- 1- 9:45 am
Question 9-
Which of the following statements is false?
1. The application process of Mahira was completed before Nandini’s.
2. The application process of Mahira started after Nandini’s.
3. The application process of Osman was completed before 9:45 am.
4. The application process of Osman was completed before Vijay’s.
Explanation
Answer- 2-The application process of Mahira started after Nandini’s.
Question 10-
When did the application processing for all US applicants get over on that day?
1. 3:40 pm
2. 2:05 pm
3. 2:25 pm
4. 2:00 pm
Explanation
Answer- 2- 2:05 pm
The processing of applications is scheduled in twenty 15-minute slots, starting at 9:00 am and ending at 2:00 pm, with ten applications scheduled per slot. This gives a total of 200 applicants. Of these, 50% are US applications, totaling 100 applicants, evenly distributed across all slots. The same distribution applies to the other three categories.
Ira, Vijay, and Nandini were scheduled for Schengen visa processing in that order, with a slot at 9:15 am. As the number of Schengen applicants is consistent across slots, there are at least 3 Schengen applicants per slot. Mahira and Osman were scheduled for the 9:30 am slot for visa processing in the “Others” category, indicating at least 2 applicants in this category per slot. Since each slot has 10 applicants, the number of Schengen and “Others” applicants per slot is 3 and 2, respectively, with no UK applicants.
There are a total of 10 counters, with four dedicated to US applications and two each for UK, Schengen, and “Others” applications. US and UK applications require 10 minutes of processing time each. Vijay was called to a counter at 9:25 am, making him the 5th in the queue, which is only possible if Schengen applications require 12.5 minutes of processing time.
