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MEGA QUIZ 30 & WEEKLY REVISION|| Data Interpretation and Logical Reasoning || CAT 2021 || 10 October

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Question 1

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

In a box there are some candies of three colours: pink, green and red. There are candies of 3 sizes in each colour: large, medium and small. There is at least one candy of each size in each colour. Also, it is known that:

1. The total number of large candies is smallest and that of small candies is largest.

2. The number of candies of three sizes is in an A.P. in all three colours, in any order. The common difference of these A.P.'s is 2 in one of the colours, 3 in another colour and 4 in the third colour.

3. Medium red candies are 12 and are the largest in number whereas medium pink candies are 2 and the smallest in number.

4. Among green candies, small candies and large candies differ by 8.

5. Large red candies are equal in number to small pink candies.

Answer the following questions on the basis of information given above.

What is the total number of candies in the box?

Question 2

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

In a box there are some candies of three colours: pink, green and red. There are candies of 3 sizes in each colour: large, medium and small. There is at least one candy of each size in each colour. Also, it is known that:

1. The total number of large candies is smallest and that of small candies is largest.

2. The number of candies of three sizes is in an A.P. in all three colours, in any order. The common difference of these A.P.'s is 2 in one of the colours, 3 in another colour and 4 in the third colour.

3. Medium red candies are 12 and are the largest in number whereas medium pink candies are 2 and the smallest in number.

4. Among green candies, small candies and large candies differ by 8.

5. Large red candies are equal in number to small pink candies.

Answer the following questions on the basis of information given above.

Which of the following can uniquely be determined?

Question 3

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

In a box there are some candies of three colours: pink, green and red. There are candies of 3 sizes in each colour: large, medium and small. There is at least one candy of each size in each colour. Also, it is known that:

1. The total number of large candies is smallest and that of small candies is largest.

2. The number of candies of three sizes is in an A.P. in all three colours, in any order. The common difference of these A.P.'s is 2 in one of the colours, 3 in another colour and 4 in the third colour.

3. Medium red candies are 12 and are the largest in number whereas medium pink candies are 2 and the smallest in number.

4. Among green candies, small candies and large candies differ by 8.

5. Large red candies are equal in number to small pink candies.

Answer the following questions on the basis of information given above.

If there are 9 small red candies then how many large pink candies are there?

Question 4

Direction: Study the following information carefully and answer the following question.

Eight people i.e., A, B, C, D, E, F, G, and H going to Mumbai on the 8th and 17th of four different months i.e., March, April, May, July. All the information is not necessarily in the same order.

G goes on the 17th after April. Two people go between G and H. A goes on an even-numbered date before H. Three people go between A and B. Two people go between C and D. One person goes between D and E. F does not go in March and May.
How many people go after B?

Question 5

Direction: Study the following information carefully and answer the following question.

Eight people i.e., A, B, C, D, E, F, G, and H going to Mumbai on the 8th and 17th of four different months i.e., March, April, May, July. All the information is not necessarily in the same order.

G goes on the 17th after April. Two people go between G and H. A goes on an even-numbered date before H. Three people go between A and B. Two people go between C and D. One person goes between D and E. F does not go in March and May.
Who goes in the same month with G?

Question 6

Direction: Study the following information carefully and answer the following question.

Eight people i.e., A, B, C, D, E, F, G, and H going to Mumbai on the 8th and 17th of four different months i.e., March, April, May, July. All the information is not necessarily in the same order.

G goes on the 17th after April. Two people go between G and H. A goes on an even-numbered date before H. Three people go between A and B. Two people go between C and D. One person goes between D and E. F does not go in March and May.
How many people go between H and G?

Question 7

Direction: Study the given information carefully and answer the following questions.

The bubble-chart given below shows the data of some of the senior employees of a company in year 2019.

The employees were grouped according to the number of years worked by them in the company and the remaining number of years of their service, if they decided to work in the company till their retirement.

The center of each bubble represents the number of years for which the employees have worked in the company(along the horizontal axis) and number of years of service left if they decide to work till retirement in the company (along the vertical axis).

The value inside the bubble gives the number of employees in the group.

It is known that the retirement age of each of the employee in the company was 65 years and none of the above grouped employees left their job after joining.

It was also known that all employees were born on the same day of a year and joined on the same day of the year. (not necessarily the same year)

How many employees were under the age of 23 at the time of joining?

Question 8

Direction: Study the given information carefully and answer the following questions.

The bubble-chart given below shows the data of some of the senior employees of a company in year 2019.

The employees were grouped according to the number of years worked by them in the company and the remaining number of years of their service, if they decided to work in the company till their retirement.

The center of each bubble represents the number of years for which the employees have worked in the company(along the horizontal axis) and number of years of service left if they decide to work till retirement in the company (along the vertical axis).

The value inside the bubble gives the number of employees in the group.

It is known that the retirement age of each of the employee in the company was 65 years and none of the above grouped employees left their job after joining.

It was also known that all employees were born on the same day of a year and joined on the same day of the year. (not necessarily the same year)

What was the average joining age of all the given employees? (nearest integer)

Question 9

Direction: Study the given information carefully and answer the following questions.

The bubble-chart given below shows the data of some of the senior employees of a company in year 2019.

The employees were grouped according to the number of years worked by them in the company and the remaining number of years of their service, if they decided to work in the company till their retirement.

The center of each bubble represents the number of years for which the employees have worked in the company(along the horizontal axis) and number of years of service left if they decide to work till retirement in the company (along the vertical axis).

The value inside the bubble gives the number of employees in the group.

It is known that the retirement age of each of the employee in the company was 65 years and none of the above grouped employees left their job after joining.

It was also known that all employees were born on the same day of a year and joined on the same day of the year. (not necessarily the same year)

If 40% of the given employees took early retirement and left at the age of 62 while the rest stayed till the usual retirement age, then what is the sum of the total number of years worked by all the given employees after year 2019?

Question 10

Direction: Study the given information carefully and answer the following questions.

The bubble-chart given below shows the data of some of the senior employees of a company in year 2019.

The employees were grouped according to the number of years worked by them in the company and the remaining number of years of their service, if they decided to work in the company till their retirement.

The center of each bubble represents the number of years for which the employees have worked in the company(along the horizontal axis) and number of years of service left if they decide to work till retirement in the company (along the vertical axis).

The value inside the bubble gives the number of employees in the group.

It is known that the retirement age of each of the employee in the company was 65 years and none of the above grouped employees left their job after joining.

It was also known that all employees were born on the same day of a year and joined on the same day of the year. (not necessarily the same year)

Considering 2019, how many employees have worked for more years than their age at the time of joining?
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