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MEGA QUIZ 31 & WEEKLY REVISION || Data Interpretation and Logical Reasoning || CAT 2021 || 17 October

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Question 1

Answer the following questions based on below given information.


The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:


P1: timely arrival


P2: behavior


P3: comfortable ride


P4: driver's familiarity with the route


P5: value for money


Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.


The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:



The following additional facts are also known:

1) Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.

2) None of drivers has got the same rating in three parameters.

If Damodaran does not get a bonus, what is the maximum possible value of his final rating?

Question 2

Answer the following questions based on below given information.


The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:


P1: timely arrival


P2: behavior


P3: comfortable ride


P4: driver's familiarity with the route


P5: value for money


Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.


The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:



The following additional facts are also known:

1) Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.

2) None of drivers has got the same rating in three parameters.

If Eman gets a bonus, what is the minimum possible value of his final rating?

Question 3

Answer the following questions based on below given information.


The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:


P1: timely arrival


P2: behavior


P3: comfortable ride


P4: driver's familiarity with the route


P5: value for money


Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.


The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:



The following additional facts are also known:

1) Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.

2) None of drivers has got the same rating in three parameters.

If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?

Question 4

Answer the following questions based on below given information.


The local office of the APP-CAB company evaluates the performance of five cab drivers, Arun, Barun, Chandan, Damodaran, and Eman for their monthly payment based on ratings in five different parameters (P1 to P5) as given below:


P1: timely arrival


P2: behavior


P3: comfortable ride


P4: driver's familiarity with the route


P5: value for money


Based on feedback from the customers, the office assigns a rating from 1 to 5 in each of these parameters. Each rating is an integer from a low value of 1 to a high value of 5. The final rating of a driver is the average of his ratings in these five parameters. The monthly payment of the drivers has two parts – a fixed payment and final rating-based bonus. If a driver gets a rating of 1 in any of the parameters, he is not eligible to get bonus. To be eligible for bonus a driver also needs to get a rating of five in at least one of the parameters.


The partial information related to the ratings of the drivers in different parameters and the monthly payment structure (in rupees) is given in the table below:



The following additional facts are also known:

1) Arun and Barun have got a rating of 5 in exactly one of the parameters. Chandan has got a rating of 5 in exactly two parameters.

2) None of drivers has got the same rating in three parameters.

If all five drivers get bonus, what is the maximum possible value of the monthly payment (in rupees) that a driver gets?

Question 5

Direction: A class of students were discussing about how they spent a weekend. Some of them went camping, while the others stayed at hostel. All the students who went camping participated in at least one of two activities - playing PUBG and trekking. All the students who stayed at hostel participated in at least one of two activities - playing PUBG and watching movies. The following information is known about the number of students who

participated in each activity:

1) The number of students who went for a trek was twice the total number of persons who participated in exactly two activities, among the entire group of students.

2) The number of students who played PUBG among those who went camping was 11 less than the number of students who watched movies.

3) The total number of students who played PUBG among the entire group of students was 20 more than the number of students who went for a trek.

4) The sum of the number of students who played PUBG among the entire group of students and the number of students who watched movies was 94.

5) The total number of students who participated in exactly two activities was 22, which was four less than the number of students who participated only in trekking.

What is the total number of students in the class?

Question 6

Direction: A class of students were discussing about how they spent a weekend. Some of them went camping, while the others stayed at hostel. All the students who went camping participated in at least one of two activities - playing PUBG and trekking. All the students who stayed at hostel participated in at least one of two activities - playing PUBG and watching movies. The following information is known about the number of students who

participated in each activity:

1) The number of students who went for a trek was twice the total number of persons who participated in exactly two activities, among the entire group of students.

2) The number of students who played PUBG among those who went camping was 11 less than the number of students who watched movies.

3) The total number of students who played PUBG among the entire group of students was 20 more than the number of students who went for a trek.

4) The sum of the number of students who played PUBG among the entire group of students and the number of students who watched movies was 94.

5) The total number of students who participated in exactly two activities was 22, which was four less than the number of students who participated only in trekking.

Among the students who stayed at hostel, how many students played PUBG?

Question 7

Direction: Given below is a pie chart in which outer pie represents ‘Total revenue’ of five companies viz., A, B, C, D & E, while the inner pie represents the ‘Total profits’ earned by each company. Total revenue is Rs. 1800 crores & Overall profit is 10% of the total revenue.

How much profit did Company A make?

Question 8

Direction: Given below is a pie chart in which outer pie represents ‘Total revenue’ of five companies viz., A, B, C, D & E, while the inner pie represents the ‘Total profits’ earned by each company. Total revenue is Rs. 1800 crores & Overall profit is 10% of the total revenue.

What is the ratio of revenue of Company B to the profit of company C?

Question 9

The six faces of a wooden cube of side 6 cm are labelled A, B, C, D, E and F respectively. Three of these faces A, B, and C are each adjacent to the other two, and are painted red. The other three faces are not painted. Then, the wooden cube is neatly cut into 216 little cubes of equal size. How many of the little cubes have no sides painted?

Question 10

1000 smaller cubes of dimensions 1cm x 1cm x 1cm are stacked together to form a large cube and then the cube is cut along a diagonal. How many of the smaller cubes are cut into two pieces?
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