CAT Data Interpretation Basics Questions & Solutions
A sample of real CAT Data Interpretation Basics past-year questions, each with a worked solution and the correct answer highlighted. AthenaPrep has 92 Data Interpretation Basics questions in all — sign up free to practise them timed.
Passage
In a certain board examination, students were to appear for examination in five subjects:
English, Hindi, Mathematics, Science and Social Science. Due to a certain emergency situation, a few of the examinations could not be conducted for some students. Hence, some students missed one examination and some others missed two examinations. Nobody missed more than two examinations.
The board adopted the following policy for awarding marks to students. If a student appeared in all five examinations, then the marks awarded in each of the examinations were on the basis of the scores obtained by them in those examinations.
If a student missed only one examination, then the marks awarded in that examination was the average of the best three among the four scores in the examinations they appeared for. If a student missed two examinations, then the marks awarded in each of these examinations was the average of the best two among the three scores in the examinations they appeared for. The marks obtained by six students in the examination are given in the table below. Each of them missed either one or two examinations.English Hindi Mathematics Science Social Science Alva 80 75 70 75 60 Bithi 90 80 55 85 85 Carl 75 80 90 100 90 Deep 70 90 100 90 80 Esha 80 85 95 60 55 Foni 83 72 78 88 83 The following facts are also known.
I. Four of these students appeared in each of the English, Hindi, Science, and Social Science examinations.
II. The student who missed the Mathematics examination did not miss any other examination.
III. One of the students who missed the Hindi examination did not miss any other examination. The other student who missed the Hindi examination also missed the Science examination.Q1.CAT 2020Who among the following did not appear for the Mathematics examination?
Alva
Carl
Foni
Esha
Passage
XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery. The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day. It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively
Day Cumulative orders booked Orders delivered on day Cumulative orders lost 13th 219 11 91 14th 249 27 92 15th 277 23 94 16th 302 11 106 17th 327 21 118 18th 332 13 120 19th 337 14 129 Q2.CAT 2020On which of the following days was the number of orders booked the highest?
12th
15th
13th
14th
Passage
DIRECTIONS for the following four questions:
A low-cost airline company connects ten India cities, A to J. The table below gives the distance between a pair of airports and the corresponding price charged by the company. Travel is permitted only from a departure airport to an arrival airport. The customers do not travel by a route where they have to stop at more than two intermediate airports.
Sector No. Airport of Departure Airport of Arrival Distance between the airports Price (Rs.) 1 A B 560 670 2 A C 790 1350 3 A D 850 1250 4 A E 1245 1600 5 A F 1345 1700 6 A G 1350 2450 7 A H 1950 1850 8 B C 1650 2000 9 B H 1750 1900 10 B I 2100 2450 11 B J 2300 2275 12 C D 460 450 13 C F 410 430 14 C G 910 1100 15 D E 540 590 16 D F 625 700 17 D G 640 750 18 D H 950 1250 19 D J 1650 2450 20 E F 1250 1700 21 E G 970 1150 22 E H 850 875 23 F G 900 1050 24 F I 875 950 25 F J 970 1150 26 G I 510 550 27 G J 830 890 28 H I 790 970 29 H J 400 425 30 I J 460 540 Q3.CAT 2007If the airports C, D and H are closed down owing to security reasons, what would be the minimum price, in rupees, to be paid by a passenger travelling from A to J?
2275
2615
2850
2945
3190
Passage
The table below presents the revenue (in million rupees) of four firms in three states. These firms, Honest Ltd., Aggressive Ltd., Truthful Ltd. and Profitable Ltd. are disguised in the table as A,B,C and D, in no particular order.
States Firm A Firm B Firm C Firm D U.P 49 82 80 55 Bihar 69 72 70 65 M.P 72 63 72 65 Further, it is known that:
In the state of MP, Truthful Ltd. has the highest market share.
Aggressive Ltd.’s aggregate revenue differs from Honest Ltd.’s by Rs. 5 million.
Q4.CAT 2005What can be said regarding the following two statements?
Statement 1: Profitable Ltd. has the lowest share in MP market.
Statement 2: Honest Ltd.’s total revenue is more than Profitable Ltd.
If Statement 1 is true then Statement 2 is necessarily true.
If Statement 1 is true then Statement 2 is necessarily false.
Both Statement 1 and Statement 2 are true.
Neither Statement 1 nor Statement 2 is true.
Passage
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).
Serial No. Name Gender Designation Age-Group Committed to Projects During Interested in Workshop on 1 Anshul M Mgr Y Jan, Mar CS, EG 2 Bushkant M Dir I Feb, Mar BO, EG 3 Charu F Mgr I Jan, Feb BO, CS 4 Dinesh M Exe O Jan, Apr BO, CS, EG 5 Eashwaran M Dir O Feb, Apr BO 6 Fatima F Mgr Y Jan, Mar BO, CS 7 Gayatri F Exe Y Feb, Mar EG 8 Hari M Mgr I Feb, Mar BO, CS, EG 9 Indira F Dir O Feb, Apr BO, EG 10 John M Dir Y Jan, Mar BO 11 Kalindi F Exe I Jan, Apr BO, CS, EG 12 Lavanya F Mgr O Feb, Apr CS, EG 13 Mandeep M Mgr O Mar, Apr BO, EG 14 Nandlal M Dir I Jan, Feb BO, EG 15 Parul F Exe Y Feb, Apr CS, EG 16 Rahul M Mgr Y Mar, Apr CS, EG 17 Sunita F Dir Y Jan, Feb BO, EG 18 Urvashi F Exe I Feb, Mar EG 19 Yamini F Mgr O Mar, Apr CS, EG 20 Zeena F Exe Y Jan, Mar BO, CS, EG M=Male, F= Female; Exe=Executive, Mgr=Manager, Dir=Director; Y=Young, I=In-between, O=Old
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/she is not interested in. An employee cannot attend the workshop on
Communication Skills, if he/she is committed to internal projects in the month of January;
Business Opportunities, if he/she is committed to internal projects in the month of February;
E-governance, if he/she is committed to internal projects in the month of March.
Q5.CAT 2005Assuming that Parul and Hari are attending the workshop on Communication Skills (CS), then which of the following employees can possibly attend the CS workshop?
Rahul and Yamini
Dinesh and Lavanya
Anshul and Yamini
Fatima and Zeena
Passage
DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.
Details of the top 20 MBA schools in the US as ranked by US News and World Report, 1997 are given below.
School Overall Ranking Ranking by Academics Ranking by Recruiters Ranking by Placements Median Starting Salary % Employed Annual Tuition Fee Stanford University 1 1 3 1 $82,000 98.9 $23,100 Harvard University 2 1 2 4 $80,000 96.4 $23,840 University of Pennsylvania 3 1 4 2 $79,000 100.0 $24,956 Massachusetts Institute of Technology 4 1 4 3 $78,000 98.8 $23,900 University of Chicago 5 1 8 10 $65,000 98.4 $23,930 Northwestern University 6 1 1 11 $70,000 93.6 $23,025 Columbia University 7 9 10 5 $83,000 96.2 $23,830 Dartmouth College 8 12 11 6 $70,000 98.3 $23,700 Duke University 9 9 7 8 $67,500 98.5 $24,380 University of California—Berkeley 10 7 12 12 $70,000 93.7 $18,788 University of Virginia 11 12 9 9 $66,000 98.1 $19,627 University of Michigan—Ann Arbor 12 7 6 14 $65,000 99.1 $23,178 New York University 13 16 19 7 $70,583 97 $23,554 Carnegie Mellon University 14 12 18 13 $67,200 96.6 $22,200 Yale University 15 18 17 22 $65,000 91.5 $23,220 Univ. of North Carolina—Chapel Hill 16 16 16 16 $60,000 96.8 $14,333 University of California—Los Angeles 17 9 13 38 $65,000 82.2 $19,431 University of Texas—Austin 18 18 13 24 $60,000 97.3 $11,614 Indiana University—Bloomington 19 18 20 17 $61,500 95.2 $15,613 Cornell University 20 12 15 36 $64,000 85.1 $23,151 Q6.CAT 2003In terms of staring salary and tuition fee, how many schools are uniformly better (higher median starting salary AND lower tuition fee) than Dartmouth College?
1
2
3
4
Passage
DIRECTIONS for the following two questions: Answer the questions on the basis of the information given below.
Figures in Rs. A B C D Total Sales 24,568 25,468 23,752 15,782 89,570 Operating Costs 17,198 19,101 16,151 10,258 62,708 Interest Costs 2,457 2,292 2,850 1,578 9,177 Profit 4,914 4,075 4,750 3,946 17,685 An industry comprises four firms (A, B, C, and D). Financial details of these firms and of the industry as a whole for a particular year are given below. Profitability of a firm is defined as profit as a percentage of sales.
Q7.CAT 2003Which firm has the highest profitability?
A
B
C
D
Passage
Directions for the following four questions: Answer the questions based on the table given below concerning the busiest 20 international airports in the world.
No. Name International Airport Type Code Location Passengers 1 Hartsfield A ATL Atlanta, Georgia, USA 77,939,536 2 Chicago-O'Hare A ORD Chicago, Illinois, USA 72,568,076 3 Los Angeles A LAX Los Angeles, California, USA 63,876,561 4 Heathrow E LHR London, United Kingdom 62,263,710 5 DFW A DFW Dallas/Ft. Worth, Texas, USA 60,000,125 6 Haneda Airport F HND Tokyo, Japan 54,338,212 7 Frankfurt Airport E FRA Frankfurt, Germany 45,858,315 8 Roissy-Charles de Gaulle E CDG Paris, France 43,596,943 9 San Francisco A SFO San Francisco, California, USA 40,387,422 10 Denver A DIA Denver, Colorado, USA 38,034,231 11 Amsterdam Schiphol E AMS Amsterdam, Netherlands 36,781,015 12 Minneapolis - St. Paul A MSP Minneapolis-St. Paul, USA 34,216,331 13 Detroit Metropolitan A DTW Detroit, Michigan, USA 34,038,381 14 Miami A MIA Miami, Florida, USA 33,899,246 15 Newark A EWR Newark, New Jersey, USA 33,814,000 16 McCarran A LAS Las Vegas, Nevada, USA 33,669,185 17 Phoenix Sky Harbor A PHX Phoenix, Arizona, USA 33,533,353 18 Kimpo FE SEL Seoul, Korea 33,371,074 19 George Bush A IAH Houston, Texas, USA 33,089,333 20 John F. Kennedy A JFK New York, New York, USA 32,003,000 Q8.CAT 2001Of the five busiest airports, roughly, what percentage of passengers in handled by Heathrow Airport?
30
40
20
50
Passage
Directions for the next 5 questions: Answer these questions based on the data provided in the table below: Factory Sector by Type of Ownership. All figures in the table are in percent of the total for the corresponding column.
Sector Factories Employment Fixed Capital Gross Output Value Added Public 7 27.7 43.2 25.8 30.8 Central Govt. 1 10.5 17.5 12.7 14.1 State/local Govt. 5.2 16.2 24.3 11.6 14.9 Central & State/local Govt. 0.8 1 1.4 1.5 1.8 Joint 1.8 5.1 6.8 8.4 8.1 Wholly private 90.3 64.6 46.8 63.8 58.7 Others 0.9 2.6 3.2 2 2.4 Total 100 100 100 100 100 Q9.CAT 2000The total value added in all sectors is estimated at Rs. 14,000 crores. Suppose that the number of firms in the joint sector is 2700. The average value added per factory, in Rs. crores, in the central govt. is:
1.41
14.1
13.2
1.32
Passage
The following table gives the quantities of apples (in tonnes) arriving at New Delhi market from various states in a particular year. The month in which demand was more than supply, the additional demand was met by the stock from cold storage.
Month State Cold Storage Total HP UP J&K April 7 0 7 59 73 May 12 1 0 0 13 June 9,741 257 8,017 0 18,015 July 71,497 0 18,750 0 90,247 August 77,675 0 20,286 0 97,961 September 53,912 0 56,602 0 110,514 October 12,604 0 79,591 24 92,219 November 3,499 0 41,872 42 45,413 December 1,741 0 14,822 15 16,578 January 315 0 10,922 201 11,438 February 25 0 11,183 77 11,285 March 0 0 683 86 769 Q10.CAT 1998Using the data in the earlier question, if there were 250 trees per hectare, then how many hectares of land was used?
9,400 hectares
49,900 hectares
50,000 hectares
49,450 hectares
Passage
Answer the questions based on the following information.
Krishna distributed 10-acre land to Gopal and Ram who paid him the total amount in the ratio 2 : 3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon trees in the ratio 5 : 1 on equal areas of land. There were a total of 100 lemon trees. The cost of one coconut was Rs. 5. The crop took 7 years to mature and when the crop was reaped in 1997, the total revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue generated from the coconut and lemon trees was in the ratio 3 : 2 and it was shared equally by Gopal and Ram as the initial amount spent by them were equal.
Q11.CAT 1998What was the ratio of yields per acre of land for coconuts and lemons (in terms of number of lemons and coconuts)?
3 : 2
2 : 3
1 : 1
Cannot be determined
Passage
Read the following information and answer the questions that follows: Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.Q12.CAT 1991The year, at the end of which, Ghosh Babu collected the maximum interest was:
First
Second
Third
Fourth
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