Mega quiz 4 and weekly revision || DI - LR || CAT 2021 || 11 April (App update required to attempt this test) for CAT & MBA Exams

Question 1

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.

In how many ways a team can be constituted so that the team includes N?

Question 2

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.

What would be the size of the largest possible team?

Question 3

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.

Who can be a member of the team of size 5 when P is already chosen as a member?

Question 4

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.

Who cannot be a member of a team of size 3?

Question 5

Direction:Read the following information carefully and answer the questions that follow.

The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

The percentage of respondents aged less than 40 years is at least.

Question 6

Direction:Read the following information carefully and answer the questions that follow.

The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

Given the information above, the percentage of respondents older than 35 can be at most.

Question 7

Direction:Read the following information carefully and answer the questions that follow.

The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

The percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least.

Question 8

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 9

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 10

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 11

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 12

Direction: A conference on Economics was attended by delegates specializing in three subjects

– International Economics, Labour Economics and Environmental Economics. Any delegate who attended the conference specialized in at least one subject. The following information is known about the number of delegates who specialized in each subject:

i) The number of delegates who specialize in International Economics is four times the number of delegates who specialize only in Environmental Economics.

ii) The number of delegates who specialize in either Labour Economics or Environmental Economics but not both is the same as the number of delegates who specialize in both International Economics and Labour Economics.

iii) The ratio of the number of delegates who specialize in Environmental Economics to the number of delegates who specialize in Labour Economics is 16:17

iv) The number of delegates who specialize only in Labour Economics is the same as the number of delegates who specialize only in Environmental Economics.

v) The number of delegates who specialize only in International Economics and Environmental Economics both is one fourth the number of delegates who specialize only in Labour Economics.

vi) The number of delegates who specialize only in Environmental Economics is twice the number of delegates who specialize only in International Economics and Labour Economics both.

vii) The number of delegates who specialized only in International Economics and Environmental Economics both is a two-digit prime number less than 20.

What is the minimum number of delegates that could have attended the conference?

Question 13