Xavier Aptitude Test 2013 Paper

Question : 73 of 121

Marks: +1, -0

Arun has to go to the country of Ten to work on a series of task 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.

Task	Priority	Number of Days Required
T1	1	3
T2	2	5
T3	5	3
T4	3	4
T5	4	2

Arun’s first priority is to complete as many tasks as possible,and then try to complete the higher priority tasks. His lastpriority is to go back as soon as possible. The tasks thatArun should try to complete are:

T1 and T2
T1, T2 and T5
T1, T4 and T5
T1, T2 and T4
T1, T3 and T4

Validate

Solution:

(b) All the possible combinations are :–
Option

(a) : T_{1}+T_{2}=3+5=8

days
Option

(b) : T_{1}+T_{2}+T_{5}=3+5+2=10

days
Option

(c) : T_{1}+T_{4}+T_{5}=3+4+2=9

days
Option

( {d}) : {T}_{1}+\ {T}_{2}+\ {T}_{4}=3+5+4=12

days

Option

(\ {e}) : \ {T}_{1}+\ {T}_{3}+\ {T}_{4}=3+3+4=10 \ {days}

Since, Arun’s 1st priority is to complete as many tasks as possible, option (a) is ruled out since only 2 tasks are performed.
Option (d) is also eliminated since the number of days required are > 10, which is not permitted.
Since, ‘higher priority tasks’ is his 2nd priority after the number of tasks.

∴

Arun should try to complete those tasks i.e.

T_1, T_2 \and T_5

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