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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 : One of the employees named Aneek scored 185 points Which of the following CANNOT be true?
 

Option: 1

Aneek worked only in teams T1, T2, T3, and T4.


Option: 2

Aneek worked only in teams T1, T2, T4, and T5.


Option: 3

Aneek worked only in teams T2, T3, T4, and T5.


Option: 4

Aneek worked only in teams T1, T3, T4, and T5.


Answers (1)

best_answer

Aneek could have worked in four challenging projects and one standard project in the following ways:

Option 1: He could have worked in team T1 in the first month on a challenging project, team T2 in the second month on a challenging project, team T3 in the third month on a challenging project, team T4 in the fourth month on a challenging project, and team T1 in the fifth month on a standard project.

Option 2: He could have worked in team T1 in the first month on a challenging project, team T2 in the second month on a challenging project, team T4 in the third month on a standard project, team T4 in the fourth month on a challenging project, and team T5 in the fifth month on a challenging project.

Option 3: He could have worked in team T2 in the first month on a standard project, team T2 in the second month on a challenging project, team T3 in the third month on a challenging project, team T4 in the fourth month on a challenging project, and team T5 in the fifth month on a challenging project.

The only option that is not possible is Option 4, where Aneek works in team T1 in the first month on a challenging project, then team T5 in the second month. This is because he cannot work in team T3 without first working in team T2.

Therefore, the only possible ways for Aneek to have worked in four challenging projects and one standard project are Option 1, Option 2, and Option 3.

 

Posted by

Ajit Kumar Dubey

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