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Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation PDF Download

The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

The following additional facts are known about the countries visited by them.
1. 32 countries were visited by at least one of them.
2. USA (in ROW) is the only country that was visited by all three of them.
3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
5. Half of the countries visited by both Samantha and Nitesh are in Europe.

Q1: How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?

Practice Question - 8 (Chart) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

Ans: 3
Writing down the data with us in a table form. 
Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

But this includes countries which have been visited by one person, two people and three people. Essentially, there is an overlap of countries. 
It is given to us that 32 distinct countries were visited among the three people, 
Using that we can write down the equations, 
I+II+III=32I + II + III = 32...(1)
I + 2II + 3III = 43...(2)
Where I, II, and III denote the number of countries visited exactly by 1 of them, 2 of them and all of them. 
We are told that USA(ROW) is the only country which was visited by all three people, that means III = 1
Subtracting Equation 1 from 2 we get, II + 2III = 11
And since III = 1 we get II = 9
So, we are looking for 9 countries visited by exactly 2 people, and 22 countries visited by exactly 1 person. 
Using the information from the problem set, we can note down the following, 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

We can see that Dheeraj visited only 1 country in ROW so every other value in that column has to be zero for wherever Nitesh is present. And Samantha has not visited any country in Asia so every value with Samantha present in Asia should be zero as well. 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

We have the following distribution, we are looking for 9 countries visited by exactly 2 people. And we have identified 2 countries, that means, 7 were countries were visited by both Samantha and Nitesh only. And given that half the countries visited by both of them are in Europe, and total number of countries visited by both of them is 7(only two of them)+1(USA)=8, they visited 4 countries in Europe together and 3 countries in ROW together. And using that information, we can fill in the rest of the table as well. Since we know the number of countries visited by each of them in a particular continent. 
Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh is 3. 

Q2: How many countries in Europe were visited only by Nitesh?

Practice Question - 8 (Chart) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

Ans: 2
Writing down the data with us in a table form. 
Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

But this includes countries which have been visited by one person, two people and three people. Essentially, there is an overlap of countries. 
It is given to us that 32 distinct countries were visited among the three people, 
Using that we can write down the equations, 
I+II+III=32I + II + III = 32...(1)
I + 2II + 3III = 43....(2)
Where I, II, and III denote the number of countries visited exactly by 1 of them, 2 of them and all of them. 
We are told that USA(ROW) is the only country which was visited by all three people, that means III = 1

Subtracting Equation 1 from 2 we get, II + 2III = 11
And since III = 1 we get II = 9
So, we are looking for 9 countries visited by exactly 2 people, and 22 countries visited by exactly 1 person. 
Using the information from the problem set, we can note down the following, 
Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

We can see that Dheeraj visited only 1 country in ROW so every other value in that column has to be zero for wherever Nitesh is present. And Samantha has not visited any country in Asia so every value with Samantha present in Asia should be zero as well. 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

We have the following distribution, we are looking for 9 countries visited by exactly 2 people. And we have identified 2 countries, that means, 7 were countries were visited by both Samantha and Nitesh only. And given that half the countries visited by both of them are in Europe, and total number of countries visited by both of them is 7(only two of them)+1(USA)=8, they visited 4 countries in Europe together and 3 countries in ROW together. And using that information, we can fill in the rest of the table as well. Since we know the number of countries visited by each of them in a particular continent. 
Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

Number of countries visited by only Nitesh is 2. 

Q3: How many countries in the ROW were visited by both Nitesh and Samantha?

Practice Question - 8 (Chart) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

Ans: 4
Writing down the data with us in a table form. 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

But this includes countries which have been visited by one person, two people and three people. Essentially, there is an overlap of countries. 
It is given to us that 32 distinct countries were visited among the three people, 
Using that we can write down the equations, 
I+II+III=32I + II + III = 32...(1)
I + 2II + 3III = 43...(2)
Where I, II, and III denote the number of countries visited exactly by 1 of them, 2 of them and all of them. 
We are told that USA(ROW) is the only country which was visited by all three people, that means III = 1

Subtracting Equation 1 from 2 we get, II + 2III = 11
And since III = 1 we get II = 9

So, we are looking for 9 countries visited by exactly 2 people, and 22 countries visited by exactly 1 person. 
Using the information from the problem set, we can note down the following, 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

We can see that Dheeraj visited only 1 country in ROW so every other value in that column has to be zero for wherever Nitesh is present. And Samantha has not visited any country in Asia so every value with Samantha present in Asia should be zero as well. 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

We have the following distribution, we are looking for 9 countries visited by exactly 2 people. And we have identified 2 countries, that means, 7 were countries were visited by both Samantha and Nitesh only. And given that half the countries visited by both of them are in Europe, and total number of countries visited by both of them is 7(only two of them)+1(USA)=8, they visited 4 countries in Europe together and 3 countries in ROW together. And using that information, we can fill in the rest of the table as well. Since we know the number of countries visited by each of them in a particular continent. 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

Number of countries in ROW visited by both Nitesh and Samantha is 3 + 1 = 4. 

Q4: How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?
(a) 10
(b) 5
(c) 14
(d) 12

Practice Question - 8 (Chart) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

Ans: (d)
Writing down the data with us in a table form. 
Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

But this includes countries which have been visited by one person, two people and three people. Essentially, there is an overlap of countries. 
It is given to us that 32 distinct countries were visited among the three people, 
Using that we can write down the equations, 
I+II+III=32I + II + III = 32...(1)
I + 2II + 3III = 43...(2)
Where I, II, and III denote the number of countries visited exactly by 1 of them, 2 of them and all of them. 
We are told that USA(ROW) is the only country which was visited by all three people, that means III = 1

Subtracting Equation 1 from 2 we get, II + 2III = 11
And since III = 1 we get II=9

So, we are looking for 9 countries visited by exactly 2 people, and 22 countries visited by exactly 1 person. 
Using the information from the problem set, we can note down the following, 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

We can see that Dheeraj visited only 1 country in ROW so every other value in that column has to be zero for wherever Nitesh is present. And Samantha has not visited any country in Asia so every value with Samantha present in Asia should be zero as well. 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

We have the following distribution, we are looking for 9 countries visited by exactly 2 people. And we have identified 2 countries, that means, 7 were countries were visited by both Samantha and Nitesh only. And given that half the countries visited by both of them are in Europe, and total number of countries visited by both of them is 7(only two of them)+1(USA)=8, they visited 4 countries in Europe together and 3 countries in ROW together. And using that information, we can fill in the rest of the table as well. Since we know the number of countries visited by each of them in a particular continent. 

Practice Question - 8 (Chart) | 100 DILR Questions for CAT Preparation

Number of countries in EU visited by exactly 1 person is 12. 

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FAQs on Practice Question - 8 (Chart) - 100 DILR Questions for CAT Preparation

1. What is the significance of chart-based questions in the CAT exam?
Ans.Chart-based questions are significant in the CAT exam as they assess a candidate's ability to interpret and analyze data visually. These questions often require candidates to extract relevant information from charts, graphs, or tables, making them crucial for evaluating quantitative and analytical skills.
2. How can candidates effectively prepare for chart-based questions in the CAT exam?
Ans.Candidates can effectively prepare for chart-based questions by practicing a variety of data interpretation exercises, focusing on understanding different types of charts (such as bar graphs, pie charts, and line graphs). Regular practice with mock tests and solving previous years' question papers can also enhance familiarity with the format and types of questions asked.
3. What types of charts are commonly used in the CAT exam for data interpretation?
Ans.Common types of charts used in the CAT exam include bar charts, pie charts, line graphs, and scatter plots. Each type of chart presents data differently, and understanding how to read and interpret these charts is essential for answering related questions accurately.
4. Are there any specific strategies to tackle complex chart-based questions in the CAT exam?
Ans.Yes, there are several strategies to tackle complex chart-based questions. Candidates should first read the questions carefully to understand what is being asked. Then, they should identify key data points in the chart and focus on trends, comparisons, or calculations required. Breaking down the information into smaller parts can also help simplify complex questions.
5. How important is time management when answering chart-based questions in the CAT exam?
Ans.Time management is crucial when answering chart-based questions in the CAT exam. These questions can be time-consuming due to the need for careful analysis and calculations. Candidates should practice pacing themselves during mock tests to ensure they allocate enough time to each question while maintaining accuracy, allowing them to complete the section within the given time limit.
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