Question 18

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. The following table gives the details of the priority and the number of days required for 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.

The tasks that Arun should try to complete are:

Solution

It has been given that Arun's task is to complete as many tasks as possible and then to focus on completing tasks based on their priority. 
Arun has 10 days with him. Except 1 task, all other tasks require at least 3 days to be completed. Therefore, Arun can complete a maximum of 3 tasks. 
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. 
In all these combinations, Arun would have completed 2 higher priority tasks in the combination T1, T2, and T5. 
Therefore, Arun should complete T1, T2, and T5 and hence, option B is the right answer.


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