# Logical Reasoning – Set – There are 21 employees working in a division

## DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

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.

## Questions

Q1) The number of times in which the composition of team T 2 and the number of times in which composition of team T 4 remained unchanged in two successive months are:
A) (2, 1)
B) (1, 0)
C) (0, 0)
D) (1, 1)

Q2)The number of SE in T1 and T5 for the projects in the third month are, respectively:
A) (0, 2)
B) (0, 3)
C) (1, 2)
D) (1, 3)

Q3) Which of the following CANNOT be the total credit points earned by any employee from the projects?
A) 140
B) 150
C) 170
D) 200

Q4) One of the employees named Aneek scored 185 points. Which of the following CANNOT be true?
A) Aneek worked only in teams T1, T2, T3, and T4
B) Aneek worked only in teams T1, T2, T4, and T5
C) Aneek worked only in teams T2, T3, T4, and T5
D) Aneek worked only in teams T1, T3, T4, and T5

Q1: Option (B)
Q2: Option (A)
Q3: Option (B)
Q4: Option (D)

## Solutions

From CAT 2017 – Logical Reasoning – Set, we can infer that,
Number of Special Skilled Employees (SE) = 10
Number of Regular Skilled Employees (RE) = 11

Q1
From CAT 2017 – Logical Reasoning – Set, we can infer that,
The composition of T2 remains unchanged in T2 in 3rd and 4th months. The composition for T4 changes constantly.
Option (B)

Q2
From CAT 2017 – Logical Reasoning – Set, we can infer that,
Number of SE in T1 in third month = 0
Number of SE in T5 in third month = 2
Option (A)

Q3
From CAT 2017 – Logical Reasoning – Set, we can infer that,
Money one person earns in a Challenging Project = 200/5 = 40
Money one person earns in a Standard Project = 100/4 = 25
An employee can earn 140 when they work in one Challenging project and 4 Standard Projects = 40 + 25*4 = 140
An employee can earn 170 when they work in 3 Challenging Projects and 2 Standard Projects = 3*40 + 2*25 = 170
An employee can earn 200 when they work in 5 Challenging Projects = 5*40 = 200
So, option (B) does not seem possible

Q4
From CAT 2017 – Logical Reasoning – Set, we can infer that,
Since Aneek secured 185 credits, he has worked in four challenging projects and one standard project.
Option A: Aneek could have worked in T1 in 1st month (in challenging project), T2 in 2nd month (in challenging project), T3 in 3rd month (in challenging project), T4 in 4th month (in challenging project) and 5th month (in standard project). Hence, this is possible.
Option B: Aneek could have worked in T1 in 1st month (in challenging project), T2 in 2nd month (in challenging project), T4 in 3rd month (in standard project), T4 in 4th month (in challenging project) and T5 in 5th month (in challenging project). Hence, this is possible.
Option C: Aneek could have worked in T2 in 1st month (in standard project), T2 in 2nd month (in challenging project), T3 in 3rd month (in challenging project), T4 in 4th month (in challenging project) and T5 in 5th month (in challenging project). Hence, this is possible.
Option D: Aneek could have worked in T1 in 1st month (in challenging project). He can work in T1 or T5 in the 2nd month. In either case, he cannot work in T3 without working in T2 first. If we assume, he worked in T3 in the 1st month, he could not have worked in four teams in the five months. Similarly, we can rule out the other possibilities. Hence, this is the answer.
Option (D) is the right answer.

## CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 5: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B
Logical Reasoning – Set 6: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with.
Logical Reasoning – Set 7: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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