Question

How many UK applications were scheduled on that day?

• A. 9: 45am
• B. 9: 50am
• C. 9: 35am
• D. 9: 37am
• A. The application process of Osman was completed before 9:45 am
• B. The application process of Mahira started after Nandini's.
• C. The application process of Mahira was completed before Nandini's.
• D. The application process of Osman was completed before Vijay's.
• A. 3 : 40 pm
• B. 2 : 00 pm
• C. 2: 25 pm
• D. 2 : 05 pm

Answer 1

The Correct Option is A

Visa Application Processing Schedule

Applications are processed in twenty 15-minute intervals, beginning at 9:00 am and concluding at 2:00 pm. Each interval accommodates ten applications.

Total applicants: 200 (20 intervals × 10 applications per interval).

Fifty percent of applications are from the US, with an equal distribution of US applications across all intervals. This distribution pattern applies to the remaining three categories as well.

• Total US applicants: 100 (200 × 50%) → 5 per interval
• Schengen: Minimum of 3 per interval (e.g., Ira, Vijay, Nandini at 9:15 am)
• Others: Minimum of 2 per interval (e.g., Mahira and Osman at 9:30 am)
• UK: 0 per interval (inferred from constraints)

There are 10 counters allocated as follows:

• 4 for US (10 minutes per application)
• 2 for Schengen (12.5 minutes per application)
• 2 for Others (5 minutes per application)
• 2 for UK — not utilized in this scenario

Example: Vijay, the 5th in the Schengen queue, was processed at 9:25 am, indicating a Schengen processing time of 12.5 minutes.

US (10 min)				Schengen (12.5 min)		Others (5 min)
End Time				End Time		End Time
C1	C2	C3	C4	C1	C2	C1	C2
9:10	9:10	9:10	9:10	9:12:30	9:12:30	9:05	9:05
9:20	9:25	9:25	9:25	9:25	9:32:30	9:20	9:20
9:30	9:35	9:40	9:40	9:37:30	9:45	9:35	9:35
9:40	9:45	9:50	9:55
9:55	9:55	10:00	10:05
10:10	10:10	10:10	10:15
10:20

On a specific day, Ira, Vijay, and Nandini were scheduled for Schengen visa processing sequentially at 9:15 am but entered the Visa Processing Office (VPO) at 9:20 am. At this juncture, 6 of the 10 counters were occupied or concluding their tasks.

This configuration left 4 counters unoccupied: 2 designated for UK and 2 for Others. As there were no UK applicants, these counters remained idle.

Consequently, total UK applicants = 0.

Answer 2

Application processing occurs in twenty 15-minute intervals, from 9:00 am to 2:00 pm, with 10 applications per interval, totaling 200 applications.

US applications constitute 50% of the total (100 applications), with an equal distribution of 5 US applications per interval. This distribution pattern applies to other categories as well.

Ira, Vijay, and Nandini were scheduled consecutively for Schengen visa processing at 9:15 am. Given the consistent number of Schengen applicants per interval, each interval must accommodate at least 3 Schengen applicants.

Mahira and Osman were scheduled in the 9:30 am interval for "Others" category visa processing, indicating a minimum of 2 "Others" category applicants per interval.

With 10 applicants per interval, and accounting for 3 Schengen and 2 "Others" applicants, no UK applicants are allocated per interval.

Ten counters are available: 4 for US, and 2 each for UK, Schengen, and Others. US and UK applications each require 10 minutes for processing. Vijay, fifth in the queue, was called at 9:25 am, suggesting a Schengen application processing time of 12.5 minutes.

US (10 min)				Schengen (12.5 min)		Others (5 min process)
End Time				End Time		End Time
C1	C2	C3	C4	C1	C2	C1	C2
9.10	9.10	9.10	9.10	9.12.30	9.12.30	9.05	9.05
9.20	9.25	9.25	9.25	9.25	9.32.30	9.20	9.20
9.30	9.35	9.40	9.40	9.37.30	9.45	9.35	9.35
9.40	9.45	9.50	9.55
9.55	9.55	10.00	10.05
10.10	10.10	10.10	10.15
10.20

Ira, Vijay, and Nandini, scheduled for Schengen visas at 9:15 am, arrived at the VPO at 9:20 am. At their arrival, 6 of the 10 counters were in use or had just concluded processing. This left 4 counters available: 2 for UK applications and 2 for "Others" applications, as US and Schengen counters were occupied.

Processing time for each "Others" category application is a maximum of 5 minutes, resulting in a total processing time of no more than 200 minutes for 40 applications (40 applications * 5 minutes/application).

Answer 3

Applications are processed in twenty 15-minute intervals from 9:00 am to 2:00 pm, with ten applications per interval, totaling 200 applications.

Fifty percent of applications are from the US, distributed equally across all intervals. This distribution applies to other categories as well.

Therefore, there are 100 US applications (200 × 50%), with 5 US applications per interval (100 ÷ 20).

Ira, Vijay, and Nandini were scheduled for Schengen visa processing sequentially at 9:15 am. As Schengen application numbers are consistent per interval, each interval must accommodate at least 3 Schengen applicants.

Mahira and Osman were scheduled for 'Others' category visa processing at 9:30 am, indicating a minimum of 2 'Others' category applicants per interval.

Given 10 applicants per interval and the aforementioned counts for Schengen and Others, no UK applicants are present in each interval.

There are 10 processing counters: 4 for US, and 2 each for UK, Schengen, and Others. US and UK applications require 10 minutes. Vijay, fifth in line, was called to a counter at 9:25 am. This suggests a Schengen application processing time of 12.5 minutes.

US (10 min)				Schengen (12.5 min)		Others (5 min)
End Time				End Time		End Time
C1	C2	C3	C4	C1	C2	C1	C2
9:10	9:10	9:10	9:10	9:12:30	9:12:30	9:05	9:05
9:20	9:25	9:25	9:25	9:25	9:32:30	9:20	9:20
9:30	9:35	9:40	9:40	9:37:30	9:45	9:35	9:35
9:40	9:45	9:50	9:55
9:55	9:55	10:00	10:05
10:10	10:10	10:10	10:15
10:20

On a specific day, Ira, Vijay, and Nandini, scheduled for Schengen visas in that sequence at 9:15 am, arrived at the Visa Processing Office at 9:20 am. At their arrival, 6 out of 10 counters were actively processing or had just completed applications. This left 4 counters free: 2 for UK and 2 for Others, as US and Schengen counters were occupied or had just finished.

Nandini was sixth in the Schengen application queue. Based on the table, her processing is scheduled to conclude at 9:45 am.

Answer 4

Applications are processed in 20 time slots, each 15 minutes long, from 9:00 am to 2:00 pm. Each slot accommodates 10 applications, totaling 200 applications (20 slots * 10 applications/slot).

US applications constitute 50% of the total, with an equal distribution across all slots. This equal distribution also applies to the other three categories.

• Total US applicants: 100 (200 * 50%)
• US applicants per slot: 5

Ira, Vijay, and Nandini were scheduled sequentially for Schengen visa processing in the 9:15 am slot. Given that the number of Schengen applicants is consistent per slot, a minimum of 3 Schengen applicants are processed in each slot.

Mahira and Osman were scheduled for visa processing in the 'Others' category in the 9:30 am slot, indicating at least 2 'Others' category applicants per slot.

With 10 applicants per slot and 3 Schengen and 2 'Others' applicants accounted for, there are no UK applicants scheduled in each slot.

There are a total of 10 processing counters:

• 4 for US applications (10-minute processing time)
• 2 for Schengen (12.5-minute processing time)
• 2 for Others (5-minute processing time)
• 2 for UK (unused)

Vijay, positioned 5th in the queue, was called to a counter at 9:25 am. This observation suggests an approximate processing time of 2.5 minutes per Schengen applicant.

US (10 min)				Schengen (12.5 min)		Others (5 min)
End Time				End Time		End Time
C1	C2	C3	C4	C1	C2	C1	C2
9:10	9:10	9:10	9:10	9:12:30	9:12:30	9:05	9:05
9:20	9:25	9:25	9:25	9:25	9:32:30	9:20	9:20
9:30	9:35	9:40	9:40	9:37:30	9:45	9:35	9:35
9:40	9:45	9:50	9:55
9:55	9:55	10:00	10:05
10:10	10:10	10:10	10:15
10:20

On a specific day, Ira, Vijay, and Nandini were scheduled for Schengen visa processing sequentially at 9:15 am but began their entry into the VPO at 9:20 am. At that time:

• Six out of ten counters were occupied.
• Four counters were available: two for UK applications and two for 'Others' applications.

Evaluate Options:

Option A: Osman's application processing concluded before 9:45 am.

• Assuming Osman is 5th in the 'Others' queue (5 minutes per application), his processing would end by 9:35 am.
• Conclusion: Osman's processing concludes before 9:45 am. This statement is True.

Option B: Mahira's application processing commenced after Nandini's.

• Mahira's processing begins at 9:30 am.
• Nandini (6th in the Schengen queue) begins processing at 9:32:30 am.
• Conclusion: Mahira's processing begins before Nandini's. This statement is False.

Correct Answer: Option B is incorrect.

Answer 5

Applications are processed in twenty 15-minute intervals, from 9:00 am to 2:00 pm, with ten applications per interval.

This results in a total of 200 applications (20 intervals * 10 applications/interval).

50% of applications are from the US, distributed equally among the intervals. The same distribution applies to the other three categories.

Consequently, there are 100 US applications (200 * 50%), meaning 5 US applications per interval (100 / 20).

Ira, Vijay, and Nandini were scheduled for Schengen visa processing, in that order, at the 9:15 am interval. As Schengen applications are evenly distributed, each interval must have at least 3 Schengen applicants.

Mahira and Osman were scheduled for visa processing in the 'Others' category at the 9:30 am interval, indicating at least 2 applicants in this category per interval.

With 10 applications per interval and 3 Schengen and 2 'Others' applicants already accounted for, there are no UK applicants in each interval.

Ten counters are available: 4 for US, 2 for UK, 2 for Schengen, and 2 for 'Others'. US and UK applications each take 10 minutes. Vijay, 5th in the queue, was called to a counter at 9:25 am, implying a processing time of 12.5 minutes for Schengen applications.

US (10 min)				Schengen (12.5 min)		Others (5 min process)
End Time				End Time		End Time
C1	C2	C3	C4	C1	C2	C1	C2
9.10	9.10	9.10	9.10	9.12.30	9.12.30	9.05	9.05
9.20	9.25	9.25	9.25	9.25	9.32.30	9.20	9.20
9.30	9.35	9.40	9.40	9.37.30	9.45	9.35	9.35
9.40	9.45	9.50	9.55
9.55	9.55	10.00	10.05
10.10	10.10	10.10	10.15
10.20

On a specific day, Ira, Vijay, and Nandini were scheduled for Schengen visa processing in that sequence at 9:15 am but arrived at the VPO at 9:20 am. Upon their arrival, 6 out of 10 counters were busy or had just finished processing and were ready for new applications. This left 4 available counters: 2 for UK and 2 for 'Others', as US and Schengen counters were occupied or had just completed processing.

Let's verify the details systematically.

The first interval requires 20 minutes to complete, while the subsequent 19 intervals each take 15 minutes for US application processing. The total processing time is calculated as follows:

• First interval: 20 minutes
• Remaining 19 intervals: 19 intervals * 15 minutes = 285 minutes

Total processing time = 20 minutes + 285 minutes = 305 minutes.

305 minutes is equivalent to 5 hours and 5 minutes.

Adding 5 hours and 5 minutes to the 9:00 am start time results in:

9:00 am + 5 hours = 2:00 pm. 2:00 pm + 5 minutes = 2:05 pm.

Therefore, the completion time is 2:05 pm.

Options Verification:

Option A: Osman's application process concluded before 9:45 am.

• It was previously determined that Osman's application process, commencing at 9:30 am and being the fifth in his category, concludes at 9:35 am.
• True: Osman's process ends before 9:45 am.

Option B: Mahira's application process commenced after Nandini's.

• Mahira's application process begins at 9:30 am.
• Nandini's application process begins at 9:32:30 am.
• False: Mahira's process begins before Nandini's.

Consequently, the correct option is indeed Option D.