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  • There are 21 employees working in a division, Out of whom 10 are special-skilled employees (SE) and the remaining are regular-skilled employees (RE). During the next five months, the division has t

There are 21 employees working in a division, Out of whom 10 are special-skilled employees (SE) and the remaining are regular-skilled employees (RE). During the next five months, the division has to complete five projects every month Out of the 25 projects, 5 projects are “challenging, while the remaining ones are standard’. Each of the challenging projects has to be completed in different months. Every month, five teams - T1, T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.

In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T3 has one more SE than T4, and T 4 has one more SE than T S. Between two successive months, the composition of the teams changes as follows:

a. The team allotted the challenging project, gets two SE from the team which was allotted the challenging project in the previous month. In exchange, one RE is shifted from the former team to the latter team.

b. After the above exchange, if T1 has any SE and TB has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from TB to T1. Also, if T2 has any SE and T4 has any RE, then one SE is shifted from T2 to T4, and one RE is shifted from T4 to T2.

Each standard project has a total of 100 credit points, while each challenging project has 200 credit points. The credit points are equally shared between the employees included in that team. 

Question : The number of times in which the composition of team T2 and the number of times in which composition of team T 4 remained unchanged in two successive months are:

 

Option: 1

(2, 1)

 


Option: 2

(1, 0)


Option: 3

(0, 0)


Option: 4

(1, 1)


Answers (1)

The question is asking for the number of times in which the composition of team T2 and the number of times in which composition of team T4 remained unchanged in two successive months.

In the first month, the teams are assigned SEs and REs as follows:

        Team         SE             RE         Total
        T1           4                 1             5
        T2           3                 1             4
        T3           2                 2             4
        T4           1                 3             4
        T5           0                 0             0    

In the second month, T2 is assigned the challenging project and two SEs are transferred from T1 to T2. One RE is also transferred from T1 to T2. The composition of the teams after the transfers is as follows:

        Team         SE             RE         Total
        T1           1                 3             4
        T2           4                 1             5
        T3           2                 2             4
        T4           2                 2             4
        T5           1                 3             4    

The composition of team T2 does not change between the second and third months.

In the fourth month, T4 is assigned the challenging project and two SEs are transferred from T3 to T4. One RE is also transferred from T3 to T4. However, since there are no SEs in T1, no SE is transferred from T1 to T4. The composition of the teams after the transfers is as follows:

        Team         SE             RE         Total
        T1           0                 4             4
        T2           1                 3             4
        T3           2                 2             4
        T4           5                 0             5
        T5           2                 2             4    

The composition of team T4 does not change between the fourth and fifth months.

Team T2

The composition of team T2 did not change between the 3rd and 4th months. This is because team T2 has 1 SE and 3 REs in the 3rd month, and it will still have 1 SE and 3 REs in the 4th month, even after the transfers.

Team T4

The composition of team T4 changed between any two successive months. This is because team T4 has 0 SEs and 4 REs in the 4th month, and it will have 4 SEs and 0 REs in the 5th month, after the transfers.

Therefore, the answer is (1, 0).

 

Posted by

Sumit Saini

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