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Arun has to go to the country of Ten to work on a series of tasks for which he must get a permit from the Government of Ten. Once the permit is issued, Arun can enter the country within ten days of the date of issuance of the permit. Once Arun enters Ten, he can stay for a maximum of ten days. Each of the tasks has a priority, and takes a certain number of days to complete. Arun cannot work on more than one task at a time.
However, Arun's manager has told him to do some background research on the tasks before leaving for Ten. At the same time, there is no guarantee that the Government of Ten will give the permit to Arun. Background research involves substantial costs, and therefore Arun has decided that he will not start his background research without getting the permit.
The following table gives the details of the priority, the number of days required for each task and the number of days required for background research on each task.
Arun's first priority is to complete as many tasks as possible, and then try to complete the higher priority tasks. His last priority is to go back as soon as possible within ten days.
The tasks that Arun should try to complete are:
According to the data given in previous question, Arun have 10 days to do a background check, as he have to enter within 10 days of receiving permit.
The number of tasks that can be completed in this case is also 3.Â
Arun can complete T1, T2, and T5 or T1, T3, and T4 or T1, T3, and T5 or T2, T3, and T5 or T1, T4, and T5.Â
In this case, the time required to complete T1, T2, and T5 exceeds 10 days. The same is the case with T1, T2, and T3.
Among the given options, both options D and E are possible cases.
T5 is a higher priority task than T3. Therefore, Arun should try to complete T1, T4, and T5.
Therefore, option E is the right answer.Â
