There are five friends - A, B, C, D, and E - who use watches of different brands namely Alpina, Citizen, Fossil, Tissot, and Versace. Among these five watches one always shows the correct time, one loses 5 minutes per hour, another loses 10 minutes per hour whereas one gains 5 minutes per hour and another gains 10 minutes per hour. All of them set their watches right at 7:00 AM every morning and leave for work at 8:00 AM. During the course of the day each person with a faulty watch sets the time right at a different time from 12:00 Noon, 3:00 PM, 5:00 PM and 8:00 PM.It is further known that:(i) The Citizen watch was the first one to be corrected among all whereas the Tissot watch was the last one to be corrected when the time in it was reversed by more than 1(¼) hours.(ii) The Citizen watch and the Alpina watch showed the same time at 10:00 PM, which was not the right time.(iii) The Fossil watch, which belonged to C, was corrected at 3:00 PM and it was 1 hour 30 minutes behind the Tissot watch when the correct time was 5:00 PM.(iv) Neither Alpina nor Citizen was owned by A. None of A, B, E owned the Versace watch, which was not faulty. E’s watch was corrected sometime after B’s watch.Question No 37.A and E have appointments with their physician at 2:00 PM and 2:30 PM respectively and they reach the clinic for their appointments according to their watches. What is the difference (in hours) between the time of A’s arrival and E’s arrival at the clinic?

To answer this question, we first need to determine which watch each friend has and how each watch behaves.

From the clues:

1. The Citizen watch was the first one to be corrected, so it must be the one that loses 10 minutes per hour. It can't be owned by A (from clue iv), so it must be owned by D or C. But C owns the Fossil watch (from clue iii), so D must own the Citizen watch.

2. The Tissot watch was the last one to be corrected, so it must be the one that gains 10 minutes per hour. It can't be owned by A, B, or E (from clue iv), so it must be owned by C or D. But D owns the Citizen watch, so C must own the Tissot watch.

3. The Fossil watch, owned by C, was corrected at 3:00 PM and it was 1 hour 30 minutes behind the Tissot watch when the correct time was 5:00 PM. This means the Fossil watch loses 5 minutes per hour.

4. The Versace watch, which is not faulty, can't be owned by A, B, or E (from clue iv), so it must be owned by C or D. But C owns the Tissot watch and D owns the Citizen watch, so the Versace watch must be owned by B.

5. The Alpina watch showed the same incorrect time as the Citizen watch at 10:00 PM, so it must be the one that gains 5 minutes per hour. It can't be owned by A (from clue iv), so it must be owned by E.

6. A must therefore own the remaining watch, which is the Fossil watch.

So, the distribution of watches and their behaviors is as follows:

• A owns the Fossil watch, which loses 5 minutes per hour.
• B owns the Versace watch, which is always correct.
• C owns the Tissot watch, which gains 10 minutes per hour.
• D owns the Citizen watch, which loses 10 minutes per hour.
• E owns the Alpina watch, which gains 5 minutes per hour.

Now, let's calculate when A and E would arrive at the clinic according to their watches:

• A's Fossil watch loses 5 minutes per hour. So, by 2:00 PM, it would be 7 hours * 5 minutes/hour = 35 minutes behind the correct time. So, A would arrive at the clinic at 2:35 PM according to the correct time.

• E's Alpina watch gains 5 minutes per hour. So, by 2:30 PM, it would be 7.5 hours * 5 minutes/hour = 37.5 minutes ahead of the correct time. So, E would arrive at the clinic at 1:52.5 PM according to the correct time.

Therefore, the difference in time of A’s arrival and E’s arrival at the clinic is 2:35 PM - 1:52.5 PM = 42.5 minutes, or approximately 0.71 hours.