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Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation PDF Download

An agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme:

Practice Question - 63 (Tables) | 100 DILR Questions for CAT PreparationEight colleges apply for accreditation, and receive the following grades in the four parameters (F, R, P, and I):
Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

It is further known that in terms of overall scores:

  1. High Q is better than Best Ed;
  2. Best Ed is better than Cosmopolitan; and
  3. Education Aid is better than A-one.

Q1: What is the weight of the faculty quality parameter?
(a) 0.2
(b) 0.3
(c) 0.4
(d) 0.1

Practice Question - 63 (Tables) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

Ans: (d)
It is given that:  High Q > Best Ed > Cosmopolitan  and Education Aid > A-one
We can say that High Q > Cosmopolitan
We can see that both High Q and Cosmopolitan got same points in reputation (R) and placement quality (P). High Q received more points in infrastructure (I) than Cosmopolitan whereas Cosmopolitan received more points in faculty Quality (F) than High Q.
Hence, we can say that Infrastructure's weight should be greater than Faculty quality. i.e.   I > F
Similarly, We can see that both Best Ed and Cosmopolitan got same points in faculty Quality (F) and placement quality (P). Best Ed received more points in reputation (R) than Cosmopolitan whereas Cosmopolitan received more points in infrastructure (I) than Best Ed.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e.   R > I
Similarly, We can see that both Education Aid and A-one got same points in faculty Quality (F) and reputation (R). Education Aid received more points in infrastructure (I) than A-one whereas A-one received more points in placement quality (P) than Education Aid.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e.   I > P
So basically there are two possible cases: R > I > P > F or  R > I > F > P

Case 1: Order of weights assigned = R > I > P > F 
R = 0.4, I = 0.3. P = 0.2, F = 0.1
In this case overall score received by Best Ed = 0.1*40+0.4*30+0.2*20+0.3*20 = 26
In this case overall score received by High Q = 0.1*30+0.4*20+0.2*20+0.3*40 = 27
We can see that High Q's overall score is higher than Best Ed. Hence, this is a possible case. 

Case 2: Order of weights assigned = R > I > F > P
R = 0.4, I = 0.3. P = 0.1, F = 0.2
In this case overall score received by Best Ed = 0.2*40+0.4*30+0.1*20+0.3*20 = 28
In this case overall score received by High Q = 0.2*30+0.4*20+0.1*20+0.3*40 = 28
We can see that High Q's overall score is not greater than the overall score received Best Ed. Hence, this case is not possible.
Now that we know the weight of each parameter, we can calculate the overall score and accreditation received by each college.

Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

We can see that weight of the faculty quality parameter = 0.1. Hence, option (d) is the correct answer. 

Q2: How many colleges receive the accreditation of AAA?

Practice Question - 63 (Tables) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

Ans: 3
It is given that:  High Q > Best Ed > Cosmopolitan  and Education Aid > A-one
We can say that High Q > Cosmopolitan
We can see that both High Q and Cosmopolitan got same points in reputation (R) and placement quality (P). High Q received more points in infrastructure (I) than Cosmopolitan whereas Cosmopolitan received more points in faculty Quality (F) than High Q.
Hence, we can say that Infrastructure's weight should be greater than Faculty quality. i.e.   I > F
Similarly, We can see that both Best Ed and Cosmopolitan got same points in faculty Quality (F) and placement quality (P). Best Ed received more points in reputation (R) than Cosmopolitan whereas Cosmopolitan received more points in infrastructure (I) than Best Ed.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e.   R > I

Similarly, We can see that both Education Aid and A-one got same points in faculty Quality (F) and reputation (R). Education Aid received more points in infrastructure (I) than A-one whereas A-one received more points in placement quality (P) than Education Aid.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e.   I > P
So basically there are two possible cases: R > I > P > F or  R > I > F > P

Case 1: Order of weights assigned = R > I > P > F 
R = 0.4, I = 0.3. P = 0.2, F = 0.1
In this case overall score received by Best Ed = 0.1*40+0.4*30+0.2*20+0.3*20 = 26
In this case overall score received by High Q = 0.1*30+0.4*20+0.2*20+0.3*40 = 27
We can see that High Q's overall score is higher than Best Ed. Hence, this is a possible case. 

Case 2: Order of weights assigned = R > I > F > P
R = 0.4, I = 0.3. P = 0.1, F = 0.2
In this case overall score received by Best Ed = 0.2*40+0.4*30+0.1*20+0.3*20 = 28
In this case overall score received by High Q = 0.2*30+0.4*20+0.1*20+0.3*40 = 28
We can see that High Q's overall score is not greater than the overall score received Best Ed. Hence, this case is not possible.
Now that we know the weight of each parameter, we can calculate the overall score and accreditation received by each college.

Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

From the table, we can see that three received the accreditation of AAA.

Q3: What is the highest overall score among the eight colleges ?

Practice Question - 63 (Tables) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

Ans: 48
It is given that:  High Q > Best Ed > Cosmopolitan  and Education Aid > A-one

We can say that High Q > Cosmopolitan
We can see that both High Q and Cosmopolitan got same points in reputation (R) and placement quality (P). High Q received more points in infrastructure (I) than Cosmopolitan whereas Cosmopolitan received more points in faculty Quality (F) than High Q.

Hence, we can say that Infrastructure's weight should be greater than Faculty quality. i.e.   I > F
Similarly, We can see that both Best Ed and Cosmopolitan got same points in faculty Quality (F) and placement quality (P). Best Ed received more points in reputation (R) than Cosmopolitan whereas Cosmopolitan received more points in infrastructure (I) than Best Ed.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e.   R > I

Similarly, We can see that both Education Aid and A-one got same points in faculty Quality (F) and reputation (R). Education Aid received more points in infrastructure (I) than A-one whereas A-one received more points in placement quality (P) than Education Aid.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e.   I > P
So basically there are two possible cases: R > I > P > F or  R > I > F > P

Case 1: Order of weights assigned = R > I > P > F 
R = 0.4, I = 0.3. P = 0.2, F = 0.1
In this case overall score received by Best Ed = 0.1*40+0.4*30+0.2*20+0.3*20 = 26
In this case overall score received by High Q = 0.1*30+0.4*20+0.2*20+0.3*40 = 27
We can see that High Q's overall score is higher than Best Ed. Hence, this is a possible case. 

Case 2: Order of weights assigned = R > I > F > P
R = 0.4, I = 0.3. P = 0.1, F = 0.2
In this case overall score received by Best Ed = 0.2*40+0.4*30+0.1*20+0.3*20 = 28
In this case overall score received by High Q = 0.2*30+0.4*20+0.1*20+0.3*40 = 28
We can see that High Q's overall score is not greater than the overall score received Best Ed. Hence, this case is not possible.
Now that we know the weight of each parameter, we can calculate the overall score and accreditation received by each college.

Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

From the table we can see that Education Aid scored the highest overall score = 48. 

Q4: How many colleges have overall scores between 31 and 40, both inclusive?
(a) 0
(b) 2
(c) 1
(d) 3

Practice Question - 63 (Tables) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

Ans: (a)
It is given that:  High Q > Best Ed > Cosmopolitan  and Education Aid > A-one
We can say that High Q > Cosmopolitan
We can see that both High Q and Cosmopolitan got same points in reputation (R) and placement quality (P). High Q received more points in infrastructure (I) than Cosmopolitan whereas Cosmopolitan received more points in faculty Quality (F) than High Q.
Hence, we can say that Infrastructure's weight should be greater than Faculty quality. i.e.   I > F
Similarly, We can see that both Best Ed and Cosmopolitan got same points in faculty Quality (F) and placement quality (P). Best Ed received more points in reputation (R) than Cosmopolitan whereas Cosmopolitan received more points in infrastructure (I) than Best Ed.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e.   R > I
Similarly, We can see that both Education Aid and A-one got same points in faculty Quality (F) and reputation (R). Education Aid received more points in infrastructure (I) than A-one whereas A-one received more points in placement quality (P) than Education Aid.
Hence, we can say that reputation's weight should be greater than infrastructure. i.e.   I > P
So basically there are two possible cases: R > I > P > F or  R > I > F > P

Case 1: Order of weights assigned = R > I > P > F 
R = 0.4, I = 0.3. P = 0.2, F = 0.1
In this case overall score received by Best Ed = 0.1*40+0.4*30+0.2*20+0.3*20 = 26
In this case overall score received by High Q = 0.1*30+0.4*20+0.2*20+0.3*40 = 27
We can see that High Q's overall score is higher than Best Ed. Hence, this is a possible case. 

Case 2: Order of weights assigned = R > I > F > P
R = 0.4, I = 0.3. P = 0.1, F = 0.2
In this case overall score received by Best Ed = 0.2*40+0.4*30+0.1*20+0.3*20 = 28
In this case overall score received by High Q = 0.2*30+0.4*20+0.1*20+0.3*40 = 28
We can see that High Q's overall score is not greater than the overall score received Best Ed. Hence, this case is not possible.
Now that we know the weight of each parameter, we can calculate the overall score and accreditation received by each college.

Practice Question - 63 (Tables) | 100 DILR Questions for CAT Preparation

From the table we can see that none of the mentioned college received an overall scores between 31 and 40, both inclusive. Hence, option (a) is the correct answer. 

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FAQs on Practice Question - 63 (Tables) - 100 DILR Questions for CAT Preparation

1. What is the significance of tables in data representation?
Ans.Tables are a crucial tool for organizing and displaying data in a clear and concise manner. They allow for easy comparison of different sets of data and can highlight relationships and trends that may not be immediately apparent in textual or graphical formats. By structuring data into rows and columns, tables facilitate quick analysis and interpretation, making them essential in various fields such as statistics, research, and business.
2. How can I effectively analyze data presented in tables?
Ans.Effective data analysis in tables involves several steps: first, familiarize yourself with the table’s layout, noting the headings and units of measurement. Next, look for patterns, trends, and anomalies within the data, such as significant increases or decreases. It’s also helpful to compare related data points across different categories. Finally, summarizing the findings in a clear format can aid in communicating the insights derived from the data.
3. What are common mistakes to avoid when interpreting tables?
Ans.Common mistakes when interpreting tables include overlooking the units of measurement, which can lead to misinterpretation of data, and not paying attention to the context or source of the data, which can affect its reliability. Additionally, misreading values due to incorrect row or column alignment and failing to recognize trends or outliers can skew analysis. Always double-check the data and ensure a comprehensive understanding of the table’s structure.
4. What types of data are best suited for tabular representation?
Ans.Tabular representation is best suited for categorical data, numerical data, and data that requires comparison across different groups or time periods. For example, survey results, sales figures, and experimental measurements are often effectively displayed in tables. When data involve multiple variables or dimensions, tables can provide a structured way to present complex information clearly.
5. How can I create an effective table for presenting my data?
Ans.To create an effective table, start by clearly defining the purpose of the table and the data it will display. Use concise and descriptive headings for each column and row. Ensure that the table is not overcrowded by limiting the amount of data presented at once; if necessary, break it into multiple tables. Use consistent formatting, such as alignment and font size, for readability. Finally, include notes or footnotes if additional context or explanations are needed for certain data points.
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Sep 30, 2025 Last updated
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