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Matrix Arrangement || Logical Reasoning || CAT 2021 || 8 April

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Question 1

Direction: Read the information given below and answer the question that follows.

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 T 4 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.

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:

Question 2

Direction: Read the information given below and answer the question that follows.

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 T 4 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.

The number of SE in T1 and T5 for the projects in the third month are, respectively:

Question 3

Direction: Read the information given below and answer the question that follows.

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 T 4 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.

Which of the following CANNOT be the total credit points earned by any employee from the projects?

Question 4

Direction: Read the information given below and answer the question that follows.

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 T 4 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.

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

Question 5

Direction: Four students – Anna, Bunty, Chintu and Dhondu, answered four multiple choice questions in an examination. Their answers are as follows:

No two students got the same number of correct answers and all have at least one correct answer.
Who got the maximum number of answers correct?

Question 6

Direction: Four students – Anna, Bunty, Chintu and Dhondu, answered four multiple choice questions in an examination. Their answers are as follows:

No two students got the same number of correct answers and all have at least one correct answer.
Who got two answers correct?

Question 7

Direction: Four students – Anna, Bunty, Chintu and Dhondu, answered four multiple choice questions in an examination. Their answers are as follows:

No two students got the same number of correct answers and all have at least one correct answer.
Who got only one answer correct?

Question 8

Direction: Four students – Anna, Bunty, Chintu and Dhondu, answered four multiple choice questions in an examination. Their answers are as follows:

No two students got the same number of correct answers and all have at least one correct answer.
What is the correct answer option for Question 4?

Question 9

Direction: Four students – Anna, Bunty, Chintu and Dhondu, answered four multiple choice questions in an examination. Their answers are as follows:

No two students got the same number of correct answers and all have at least one correct answer.
What fraction of the total responses was incorrect?

Question 10

A shipping clerk has five boxes of different but unknown weights each weighing less than 100kgs. The clerk weighs the boxes in pairs. The weights obtained are 110, 112, 113, 114,115, 116, 117, 118, 120and 121 kgs. What is the weight, in kgs, of the heaviest box?
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