Data Interpretation Previous Year Questions (CAT) - Set 0003

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Previous years`s CAT questions: Data Interpretation

Post your solutions as reply to respective questions below.

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Question 1

In a Class X Board examination, ten papers are distributed over five Groups – PCB, Mathematics, Social Science, Vernacular and English. Each of the ten papers is evaluated out of 100. The final score of a student is calculated in the following manner. First, the Group Scores are obtained by averaging marks in the papers within the Group. The final score is the simple average of the Group Scores. The data for the top ten students are presented below. (Dipan’s score in English Paper II has been intentionally removed in the table).  (CAT 2006)

Note: B or G against the name of a student respectively indicates whether the student is a boy or a girl.

1. How much did Dipan get in English Paper II?

(1) 94    (2) 96.5     (3) 97      (4) 98     (5) 99

2. Students who obtained Group Scores of at least 95 in every group are eligible to apply for a prize. Among those who are eligible, the student obtaining the highest Group Score in Social Science Group is awarded this prize. The prize was awarded to:

(1) Shreya     (2) Ram     (3) Ayesha     (4) Dipan     (5) no one from the top ten

3. Among the top ten students, how many boys scored at least 95 in at least one paper from each of the groups?

(1) 1     (2) 2       (3) 3       (4) 4        (5) 5

4. Each of the ten students was allowed to improve his/her score in exactly one paper of choice with the objective of maximizing his/her final score. Everyone scored 100 in the paper in which he or she chose to improve. After that, the topper among the ten students was:

(1) Ram     (2) Agni     (3) Pritam     (4) Ayesha    (5) Dipan

5. Had Joseph, Agni, Pritam and Tirna each obtained Group Score of 100 in the Social Science Group, then their standing in decreasing order of final score would be:

(1) Pritam, Joseph, Tirna, Agni  
(2) Joseph, Tirna, Agni, Pritam
(3) Pritam, Agni, Tirna, Joseph
(4) Joseph, Tirna, Pritam, Agni
(5) Pritam, Tirna, Agni, Joseph

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Answer: Option 3 Option 4 Option 1 Option 5 Option 1

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Question 2

A management institute was established on January 1, 2000 with 3, 4, 5, and 6 faculty members in the Marketing, Organisational Behaviour (OB ), Finance, and Operations Management (OM) areas respectively, to start with. No faculty member retired or joined the institute in the first three months of the year 2000. In the next four years, the institute recruited one faculty member in each of the four areas. All these new faculty members, who joined the institute subsequently over the years, were 25 years old at the time of their joining the institute. All of them joined the institute on April 1. During these four years, one of the faculty members retired at the age of 60. The following diagram gives the area-wise average age (in terms of number of completed years) of faculty members as on April 1 of 2000, 2001, 2002, and 2003.  (CAT 2005)

1. From which area did the faculty member retire?

(1) Finance    (2) Marketing    (3) OB     (4) OM

2. Professors Naresh and Devesh, two faculty members in the Marketing area, who have been with the Institute since its inception, share a birthday, which falls on 20th November. One was born in 1947 and the other one in 1950. On April 1 2005, what was the age of the third faculty member who has been in the same area since inception?

(1) 47    (2) 50      (3) 51      (4) 52

3. In which year did the new faculty member join the Finance area?

(1) 2000     (2) 2001     (3) 2002      (4) 2003

4. What was the age of the new faculty member, who joined the OM area, as on April 1, 2003?

(1) 25   (2) 26    (3) 27      (4) 28

 

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Answer: Option 1 Option 4 Option 3 Option 3

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Question 3

The table below reports annual statistics related to rice production in select states of India for a particular year.    (CAT 2005)

1. Which two states account for the highest productivity of rice (tons produced per hectare of rice cultivation)?

(1) Haryana and Punjab
(2) Punjab and Andhra Pradesh
(3) Andhra Pradesh and Haryana
(4) Uttar Pradesh and Haryana

2. How many states have a per capita production of rice (defined as total rice production divided by its population) greater than Gujarat?

(1) 3     (2) 4     (3) 5     (4) 6

3. An intensive rice producing state is defined as one whose annual rice production per million of population is at least 400,000 tons. How many states are intensive rice producing states?

(1) 5      (2) 6     (3) 7     (4) 8

 

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Answer: Option 1 Option 2 Option 4

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Question 4

The table below reports the gender, designation and age-group of the employees in an organization. It also provides information on their commitment to projects coming up in the months of January (Jan), February (Feb), March (Mar) and April (Apr), as well as their interest in attending workshops on: Business Opportunities (BO), Communication Skills (CS), and E-Governance (EG). (CAT 2005)

For each workshop, exactly four employees are to be sent, of which at least two should be Females and at least one should be Young. No employee can be sent to a workshop in which he or she is not interested in. An employee cannot attend the workshop on

• Communication Skills, if he or she is committed to internal projects in the month of January;
• Business Opportunities, if he or she is committed to internal projects in the month of February;
• E-governance, if he or she is committed to internal projects in the month of March.

1. Assuming that Parul and Hari are attending the workshop on Communication Skills (CS), then which of the following employees can possibly attend the CS workshop?

(1) Rahul and Yamini
(2) Dinesh and Lavanya
(3) Anshul and Yamini
(4) Fatima and Zeena

2. How many Executives (Exe) cannot attend more than one workshop?

(1) 2    (2) 3     (3) 15     (4) 16

3. Which set of employees cannot attend any of the workshops?

(1) Anshul, Charu, Eashwaran, and Lavanya
(2) Anshul, Bushkant, Gayatri, and Urvashi
(3) Charu, Urvashi, Bushkant, and Mandeep
(4) Anshul, Gayatri, Eashwaran, and Mandeep

 

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Answer: Option 1 Option 2 Option 2

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Question 5

Venkat, a stockbroker, invested a part of his money in the stock of four companies - A, B, C and D. Each of these companies belonged to different industries, viz., Cement, Information Technology (IT), Auto, and Steel, in no particular order. At the time of investment, the price of each stock was Rs.100. Venkat purchased only one stock of each of these companies. He was expecting returns of 20%, 10%, 30%, and 40% from the stock of companies A, B, C and D, respectively. Returns are defined as the change in the value of the stock after one year, expressed as a percentage of the initial value. During the year, two of these companies announced extraordinarily good results. One of these two companies belonged to the Cement or the IT industry, while the other one belonged to either the Steel or the Auto industry. As a result, the returns on the stocks of these two companies were higher than the initially expected returns. For the company belonging to the Cement or the IT industry with extraordinarily good results, the returns were twice that of the initially expected returns. For the company belonging to the Steel or the Auto industry, the returns on announcement of extraordinarily good results were only one and a half times that of the initially expected returns. For the remaining two companies, which did not announce extraordinarily good results, the returns realized during the year were the same as initially expected. (CAT 2005)

1. What is the minimum average return Venkat would have earned during the year?

(1) 30%    (2) 35%     (3) 32.5%    (4) Cannot be determined

2. If Venkat earned a 35% return on average during the year, then which of these statements would necessarily be true?

I. Company A belonged either to Auto or to Steel Industry.
II. Company B did not announce extraordinarily good results.
III. Company A announced extraordinarily good results.
IV. Company D did not announce extraordinarily good results.

(1) I and II only
(2) II and III only
(3) I and IV only
(4) II and IV only

3. If Venkat earned a 38.75% return on average during the year, then which of these statement(s) would necessarily be true?

I. Company C belonged either to Auto or to Steel Industry.
II. Company D belonged either to Auto or to Steel Industry.
III. Company A announced extraordinarily good results.
IV. Company B did not announce extraordinarily good results.

(1) I and II only
(2) II and III only
(3) I and IV only
(4) II and IV only

4. If Company C belonged to the Cement or the IT industry and did announce extraordinarily good results, then which of these statement(s) would necessarily be true?

I. Venkat earned not more than 36.25% return on average.
II. Venkat earned not less than 33.75% return on average.
III. If Venkat earned 33.75% return on average, Company A announced extraordinarily good results.
IV. If Venkat earned 33.75% return on average, Company B belonged either to Auto or to Steel Industry.

(1) I and II only
(2) II and IV only
(3) II and III only
(4) III and IV only

 

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Answer: Option 1 Option 2 Option 3 Option 2