CAT DI Charts Questions & Solutions
A sample of real CAT DI Charts past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 151 DI Charts questions in all — sign up free to practise them timed.
Passage
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).
Number of countries visited
Asia Europe ROW Dheeraj 3 7 1 Samantha 0 9 4 Nitesh 1 6 12 The following additional facts are known about the countries visited by them.
- 32 countries were visited by at least one of them.
- USA (in ROW) is the only country that was visited by all three of them.
- China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
- France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
- Half of the countries visited by both Samantha and Nitesh are in Europe.
Q1.CAT 2024How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?
Answer: 3
Passage
The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode, then it brings down the temperature inside the room(called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes.
If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00)and 2 am (2:00) that night.Inside temperature between 11 pm (23:00) and 2 am (2:00)
The following facts are known about the AC operation that night.
- The AC was turned on for the first time that night at 11 pm (23:00).
- The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at 30 minutes after the hour.
- The AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour period.
Q2.CAT 2024What was the maximum difference between temperature outside and inside temperature, in degree Celsius, between 11:01 pm and 1:59 am?
Answer: 10
Passage
In the following, a year corresponds to 1st of January of that year.
A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40,and 40 to less than 50.
The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30.
p>Number of people still alive in each year, by age group (M = males, F = females)Age group 1990 2000 2010 2020 M F M F M F M F 20–30 230 240 0 0 0 0 0 0 30–40 235 225 180 210 0 0 0 0 40–50 210 190 205 175 150 160 0 0 50–60 190 220 160 150 165 145 140 100 60–70 0 0 100 120 90 100 125 105 70–80 0 0 0 0 25 30 50 60 80–90 0 0 0 0 0 0 5 18 Q3.CAT 2022How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60?
Answer: 30
Passage
Simple Happiness index (SHI) of a country is computed on the basis of three, parameters: social support (S),freedom to life choices (F) and corruption perception (C). Each of these three parameters is measured on a scale of 0 to 8 (integers only). A country is then categorised based on the total score obtained by summing the scores of all the three parameters, as shown in the following table:
Total Score 0-4 5-8 9-13 14-19 20-24 Category Very Unhappy Unhappy Neutral Happy Very Happy Following diagram depicts the frequency distribution of the scores in S, F and C of 10 countries - Amda, Benga, Calla, Delma, Eppa, Varsa, Wanna, Xanda,Yanga and Zooma:
Total Score 0-4 5-8 9-13 14-19 20-24 Category Very Unhappy Unhappy Neutral Happy Very Happy Further, the following are known.
- Amda and Calla jointly have the lowest total score, 7, with identical scores in all the three parameters.
- Zooma has a total score of 17.
- All the 3 countries, which are categorised as happy, have the highest score ln exactly one parameter.
Q4.CAT 2017If Benga scores 16 and Delma scores 15, then what is the maximum number of countries with a score of 13?
0
1
2
3
Passage
Directions for the following four questions: Answer the questions on the basis of the information given below.
The data points in the figure below represent monthly income and expenditure data of individual members of the Ahuja family, the Bose family, the Coomar family, and the Dubey family.
The X axis represents Expenditure and the Y axis represents the Income of the individual members.
For these questions, savings is defined as Savings = Income - Expenditure
Q5.CAT 2004Which family has the lowest average income?
Ahuja
Bose
Coomar
Dubey
Passage
The chart given below indicates the annual sales tax revenue collections (in rupees in crores) of seven states from 1997 to 2001.
The values given at the top of each bar represents the total collections in that year
Q6.CAT 2002Which of the following states has changed its relative ranking most number of times when you rank the states in terms of the descending volume of sales tax collections each year?
Andhra Pradesh
Uttar Pradesh
Karnataka
Tamil Nadu
Passage
Directions for the following five questions: Answer the questions based on the two graphs shown below.
Figure I (the chart on the left) shows the amount of work distribution, in man-hours, for a software company between offshore and onsite activities.
Figure 2 (the chart on the right) shows the estimated and actual work effort involved in the different offshore activities in the same company during the same period.
[Note: Onsite refers to work performed at the customer’s premise and offshore refers to work performed at the developer’s premise.]
Q7.CAT 2001If the total working hours were 100, which of the following tasks will account for approximately 50 hr?
Coding
Design
Offshore testing
Offshore testing plus design
Passage
Answer these questions based on the data given below: The figures below present annual growth rate, expressed as the % change relative to the previous year, in four sectors of the economy of the Republic of Reposia during the 9 year period from 1990 to 1998. Assume that the index of production for each of the four sectors is set at 100 in 1989 Further, the four sectors: manufacturing, mining and quarrying, electricity, and chemicals, respectively, constituted 20%, 15%, 10%, 15 % of total industrial production 1989.
Q8.CAT 2000It is known that the index of total industrial production in 1994 was 50 percent more that in 1989. Then, the percentage increase in production between 1989 and 1994 in sectors other than the four listed above is:
57.5
87.5
127.5
47.5
Passage
Consider the information provided in the figure below relating to India's foreign trade in 1997-98 and the first eight months of 1998-99.
Total trade with a region is defined as the sum of exports to and imports from that region.
Trade deficit is defined as the excess of imports over exports. Trade deficit may be negative.A:USA. B:Germany C:Other EU. D:U.K. E:Japan F:Russia
G:Other East Europe H:OPEC I:Asia J:Other LDCs K:Others
Q9.CAT 1999What is the region with the lowest trade deficit with India in 1997-98?
USA
Asia
Others
Other E. U.
Passage
Answer the questions based on the following information. The following bar chart gives the growth percentage in the number of households in the middle, upper-middle and high-income categories in the four regions for the period between 1987-88 and 1994-95.
Number of households in 1987-88 Average household income in 1987-88 Growth in average household income (1994-95 over 1987-88) Middle Income 40 Rs. 30,000 50% Upper-middle 10 Rs. 50,000 60% High income 5 Rs. 75,000 90% (Number of households in thousands)
Q10.CAT 1998What was the total household income in northern region for upper-middle class?
Rs. 50 lakh
Rs. 500 million
Rs. 300 million
Cannot be determined
Passage
Answer the questions based on the following graph.
Employess in thousand Sales - cost = profit
(all values are integers)Q11.CAT 1996In which month is the total increase in the cost highest as compared to two months ago?
March
September
July
May
Passage
Answer the questions based on the following information. The first table gives the percentage of students in MBA class, who sought employment in the areas of finance, marketing and software. The second table gives the average starting salaries of the students per month, (rupees in thousands) in these areas. The third table gives the number of students who passed out in each year.
Table 1:
Finance Marketing Software Others 1992 22 36 19 23 1993 17 48 23 12 1994 23 43 21 13 1995 19 37 16 28 1996 32 32 20 16 Table 2:
Finance Marketing Software 1992 5450 5170 5290 1993 6380 6390 6440 1994 7550 7630 7050 1995 8920 8960 7760 1996 9810 10220 8640 Table 3:
Q12.CAT 1996In 1994, students seeking jobs in finance earned ___ more than those opting for software (per annum).
Rs. 43 lakh
Rs. 33.8 lakh
Rs. 28.4 lakh
Rs. 38.8 lakh
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