Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Management
  • 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 :  Which of the following CANNOT be the total credit points earned by any employee from the projects?

Option: 1

140


Option: 2

150


Option: 3

170


Option: 4

200


Answers (1)

best_answer

The possible ways for an employee to earn credits are:

 

5 challenging projects:   \mathrm{\frac{200~ credits}{project}\times5~project=1000~credits}

4 challenging projects and 1 standard project:

\mathrm{\frac{200~ credits}{project}\times4~project+\frac{100~credits}{project}=900~credits}

3 challenging projects and 2 standard projects:

\mathrm{\frac{200~ credits}{project}\times3~project+\frac{100~credits}{project}\times2~project=800~credits}

2 challenging projects and 3 standard projects:

\mathrm{\frac{200~ credits}{project}\times2~project+\frac{100~credits}{project}\times3~project=700~credits}

1 challenging project and 4 standard projects:

\mathrm{\frac{200~ credits}{project}\times1~project+\frac{100~credits}{project}\times4~project=600~credits}

5 standard projects: \mathrm{\frac{100~ credits}{project}\times5~project=500~credits}

As you can see, the maximum number of credits that an employee can earn is 1000 credits. 

Therefore, it is not possible for an employee to earn 150 credits in 5 months.

 

Posted by

jitender.kumar

View full answer

Similar Questions

Trending Articles/News

anam-khan

CAT Result 2024 (Out) Live: 14 candidates score 100 percentile; scorecard link, cut-off, IIM selection process
anam-khan

CAT 2024 result declared, link active at iimcat.ac.in; how to download score card?
anam-khan

CAT 2024 Results Out: 14 grab 100 percentile; maximum from Maharashtra

Latest Question