# CAT Questions | CAT LR DI

###### CAT DILR | CAT Previous year questions

CAT DI LR section has become increasingly tough beginning from 2015. However, Understanding the basics of Bar graphs, Pie Charts, Multiple graphs, Line Graphs etc forms an integral part of solving tougher CAT level DI LR questions for the CAT Exam. This question is from CAT 2017 Slot 1 CAT DILR.

## CAT DILR : 2017 slot 1 questions

### Team Project

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 T4 has one more SE than T5. 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 T5 has any RE, then one SE is shifted from T1 to T5, and one RE is shifted from T 5 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 1: 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 are:

1. (2,1)
2. (1,0)
3. (0,0)
4. (1,1)

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##### Method of solving this Question on CAT DILR

General Solution

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.

First month , the SE numbers are 4, 3, 2, 1, and 0 in that order. The total number of employees in the project are going to be 4, 4, 4, 4 and 5 in some order; with 5 being for the challenging project. So, for month 1 it will be 5, 4, 4, 4, 4; for month 2 it will be 4, 5, 4, 4, 4 and so on.

The question is "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 are?"

##### Hence, the answer is "(1,0)".

Choice B is the correct answer.

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