Triumphant Institute of Management Education Pvt. Ltd. The No.1 coaching institute in India INTRODUCTION TO DATA INTERPRETATION
Data, represented in various forms, is something that a manager has to constantly work with. Hence, it is very rare to find any managem ententrance exam that does not emphasise the area of Data Interpretation. Data Interpretation (DI) is an integral part of the CAT exam and has always carried considerable weightage in terms of the number of questions asked.
(A) Number of questions asked in this area over the previous few years:
TABLE (I) gives an illustration of the number of questions asked from this area over the past four years. TABLE (I)
(B) Break up of the types of DI questions asked in CAT over the past four years:
Table (II) gives a clasification of the types of questions asked in this area over the past four years. TABLE (II)
(C) Descriptions of types of questions asked:
(1) TABLE: This is the most basic as well as commonly used format for data representation. Usually the data in a simple table consists of two dimensions only. However more complex tables can be used to represent data having more than two dimentions. Tables (I) and (II), and the three dimensional chart given below are a couple of such examples.The data represented in any other format can always be converted into the table format. Hence a certain level of familarity with this format defnitely helps in tackling questions on any other formats of data representation. Some other formats of data representation usually encountered are shown below.
(2) Line Graph (3) Bar Graph (4) Pie Chart
Sales x y Year • • • • • •
Year Number of questions Marks
2004 (Nov) 26 (Section A)12 (Section B)
(Retest) 31
(Nov) 30
2002 32
2001 23
Sec-A: each question of 1 mark Sec-B: each question of 2 marks
Each question of 1 mark Each question of 1 mark
Each question of 1 mark Each question of 1 mark 2003
Type Only Table Only Bar Graph Only Pie chart Only Line Graph
Combination
2004 (Nov) 2003 (Retest) 2003 (Nov) 2002 2001
Other Type
Sets Qs. Sets Qs. Sets Qs. Sets Qs. Sets Qs.
4 16 5 19 7 20 3 11 1 4 2 5 0 0 2 9 0 0 0 0 0 0 1 3 1 4 1 3 1 4 0 0 1 4 0 0 0 0 0 0 1 3 5 1 1 0 0 0 24 6 2 0 0 0 0 0 0 0 0 0 Productions Year → Product B Product A Product C Product D Product B Total Prodution
(5) Spiderweb (6) Stacked Graph (7) Three Dimensional Chart
(8) Caselet Based: Questions asked in CAT can also be of caselet (information given in verbal / para format) type where a caselet of length 100-150 words (approximately) could be given.
(D) Types of questions asked in other management entrance exams:
Different types of questions related to Data Interpretation have been asked in management entrance exams other
t h a n
CAT. For example questions on “Spider Web” have been asked in JMET. (E) Different ways of attempting questions in DI:
The questions in DI can be solved by (i) direct calculation
(ii) observation (iii) elimination
(iv) a combination of more than one of the above mentioned techniques.
DIRECTIONS for question 1: Answer the question on the basis of the following charts.
(Note: Availability is defined as production less export.)
1. If the land area under tea cultivation in Chaidesh continuously decreased in all four years from 1996 to 1999, by 10%, 7% , 4% and 1%, respectively, in which year was tea productivity (production per unit of area) the highest?
(1) 1999 (2) 1998 (3) 1997 (4) 1996
Sol.Tea productivity = productionArea
When production is maximum and area is minimum, we can say that tea productivity is the maximum. In such case, calculation of tea productivity for each of the year is not required. Area is the least in year 1999 as
Product B Product F Product D Product E Product A Product C • • • • • • • • • • • • Year II Year III Year I
Production and export of Tea (Chaidesh)
660 645 587 561 220 215 209 189 207 421 0 100 200 300 400 500 600 700 1999 1998 1997 1996 1995
Production (million Kg) Export (million Kg)
Per Capita Availability of Tea (gms) in Chaidesh 487 464 510 544 566 0 200 400 600 1995 1996 1997 1998 1999 Year · · · Percentage of Z Percentage of X Percentage of Y Expenditure Year
compared to that in the year 1996, 1997, and 1998. Also, by observation, production is maximum for year
1999. Hence tea productivity is maximum for year 1999. Choice (1)
DIRECTIONS for question 2: Answer the question on the basis of the information given below:
Each point in the graph below shows the profit and turnover data for 12 different companies. Each company belongs to one of the three industries: textile, cement and steel.
2. For how many companies does the profit exceed 10% of turnover?
(1) 8 (2) 7 (3) 6 (4) 5
Sol.Profit > 10% of turnover. Here a diagonal line can be drawn which divides the region into two parts. All the points on to the left of the line indicate the relevant companies.Thus, for such a question, there is no need to find the profit for each of the companies.
(F) Pitfalls to look out for:
These could be categorized as follows:
(i) Units: It may be required to find an amount in Rs. lakh, but some of the choices may have the same amount in Rs. crore. Even though the numerical figures may match, the answer will not be correct unless the final denomination is also correct.
(ii) Rows columns in table: One needs to be alert as to when the numbers have to be taken from a row and when from a column.
(G) SURPRISES:
Data interpretation in the past has typically seen questions in the form of tables, pie charts, bar graphs etc., which involved calculations. In recent years, DI has been more reasoning based rather than calculations based. For example in CAT 2004, most of the questions in DI were reasoning based while some of the questions needed to be solved by observation.
(H) Tips on how to prepare for DI:
(1) One must regularly go through different types of newspapers, and magazines and become familiar with different types of data representations frequently appearing in them.
(2) Enhance speed of calculations: This can be done by becoming conversant with the following: (i) Multiplication tables upto 20
(ii) Reciprocals of numbers upto 12 (iii) Complements of 100
(iv) Comparison of fractions and other techniques to improve speed and accuracy of calculations. (3) Speed Tests: Since speed and accuracy play a significant role in CAT, one must pay special attention to
developing calculation skills. For the development of such skills, practising every day (atleast 5 days per week) for at least 20 minutes is essential. One can distribute the time slots in four different sessions (each session of 5 minute duration) – one each in the morning, afternoon, evening, and night.
400 300 200 100 1000 2000 3000 4000 D D D D o o o o o Textile o Steel D Cement Profit TurnoverOne must mentally practise basic operations like adding, subtracting, multiplying and dividing two numbers. Also, one must practice converting fractional values into percentage values and vice-versa. One can take any two random numbers and carry out these operations. One must also practise various approximation techniques.The following examples suggest a couple of such techniques.
1. x = 4781 1234
. Find the approximate decimal equivalent of x.
(1) 0.55 (2) 0.85 (3) 0.75 (4) 0.25
Sol.Here, since the answer choices are not very close to each other one can go ahead with the basic approximation 4781 1234 ~ 4800 1200 = 4 1 = 0.25 Choice (4)
In some cases, the answer choices are quite close to each other, as in the following question.
2. If x =
4781 1243
, find x rounded off to two decimal places.
(1) 0.27 (2) 0.23 (3) 0.25 (4) 0.26 Sol.Here, 1/4th of 4781 ~ 1195 1243 - 1195 ~ 48 ~ 1/100 x 4781 = 0.01 of 4781 Therefore 4781 1243 ~ 0.25 + 0.01 i.e. 0.26
The above problem can also be solved by a convenient and accurate method commonly known as the “Ten-percentage” method. For this one must know how to caluclate 10% and 1% of any given number. We can arrive at 10% of any given number simply by moving the decimal to the left by one place and 1% by moving the decimal by two places. After this, the given numerator must be written as a multiple of (10% of denominator) + a multiple of (1% of denominator).
In this case: 10% of 4781 ~ 478.1 ~ 480, 1% of 4781 ~ 47.8 ~ 50
Note: The level of approximations will depend on the question and the corresponding answer choices. The final answers must usually compensate for errors in the approximations while selecting the correct answer choice.
Now approximating 1234 as 1240, we get 2 x (480) + 6 x (50)= 1260 and 2 x (480) + 5 x (50) = 1210.
Since our approximations above were on the higher side, it is clear that our answer must be 26% (as 25% i.e. 1210 < 1234, despite an approximation on the higher side). Hence the correct answer must be 26% i.e. 0.26.
Choice (4) Finally, the student must bear in mind that practice makes one perfect. Hence one must constantly work on this area in order to excel in it.
Test Ref: TEP0502 Time: 60 minutes
DIRECTIONS for questions 1 to 5: These questions are based on the graphs given below.
1. What is the percentage increase in the value of GM’s holding in United Lever from 10th December 2002 to 10th December 2003, given that the value of GM’s holding in United Lever as on 10th December 2002 was 124.88 million dollars and the difference between the value of the shares of United Lever held in the form of GDRs and that of those held by FIIs as on 10th December 2003 was 17.84 million dollars?
(1) 100% (2) 200% (3) 300% (4) Cannot be determined
2. What is the number of shares of United Lever held by ‘Others’ as on 20th December 2003, given that the difference between the value of the shares of United Lever held by GM and that held by Mutual Funds/Banks as on 20th December 2003 was 250 million dollars?
(1) 2.75 million (2) 3 million (3) 3.5 million (4) Cannot be determined
3. Which of the following statements is true as per the graphs given?
(1) The market value of a United Lever share is directly proportional to the market value of a General Motors hare.
(2) The peak value attained by the United Lever share is exactly 80% of the peak value of the General Motors share during the period 20th November to 20th December 2003.
(3) The percentage decrease in the value of the United Lever share from 12th December to 20th December 2003 is less than the percentage decrease in the value of the GM share from 27th November to 20th December 2003.
(4) None of these
4. If the value of shares held by Mutual funds / banks and ‘others’ together on 27th November 2003 in United Lever 260.4 million dollars, find the approximate value of shares (in mn$) held by FII on 20th November 2003 in United Lever.
(1)15 (2) 16 (3) 18 (4) 20
5. What is the percentage increase in the value of shares held by General Motors in United Lever from 4th December 2003 to 12th December 2003, given that the total number of shares held by ‘Others’ is 84,350?
(1) 10.6% (2) 11.8% (3) 12.7% (4) 13.8%
Percentage wise Break-up of the shareholding pattern of United Lever. (for the period 20th Nov to 20th Dec 2003)
General Motors (GM) 42% Mutual Funds / Banks
38% GDR 2% FII 4% Others 14%
GDR = Global Depository Receipts FII = Foreign Institutional Investors
Market value of a United Lever share from 20th Nov to 20th Dec of 2003 (in $)
230 250 270 290 310 330 350 370
20th Nov 27th Nov 4th Dec 12th Dec 20th Dec
Market value of a General Motors share from 20th Nov to 20th Dec of 2003 (in $)
200 250 300 350 400 450
Model
Number of Engine Displacement Maximum Fuel T
ank
Capacity Front Boot Space Tyre Size
Price on Road
(Rs.
Fuel Consump- Kerb W
eight Rear 8 16 8 8 8 8 16 16 16 8 16 16 16 16 16 16 16 8 8 796 997 997 1457 796 980 1600 1392 1810 1016 2600 2600 2400 3800 3500 2500 2200 1900 2300 39 55 45 60 58 62 100 70 80 60 120 120 90 220 140 90 130 65 170 60 50 50 80 100 120 140 200 300 30 100 250 170 420 300 250 200 290 175 H LS LS LS LS MS MS H LS H MS H MS LS ITA LS MS MS LS MS MS ITA LS MS ITA ITA MS H MS ITA MS LS LS ITA MS MS ITA 120 150 90 160 100 140 250 230 300 140 600 750 750 1100 1600 1800 800 800 900 90 90 80 100 80 80 90 110 110 100 120 120 100 140 150 160 120 90 110 1.8 3.4 3 3.7 3.4 3 4.5 4.8 5.2 3.3 9.6 13.5 6.2 35 5.3 7 18.6 7.5 12.1 20 15 10 10 10 35 10 10 15 25 6 8 12 5 8 14 15 10 12 740 900 850 1200 1000 1400 1500 1400 1500 950 1750 2200 1300 3000 3500 2200 1800 1750 2000 B C D E F G H I J K L M N O P Q R S A LS
DIRECTIONS for questions 6 to 10: These questions are based on the table given above in next column. 6. If Cylinder Size (in cc.) = EngineNumberdisplacemnofClinderset(incc.) , what is the maximum Cylinder Size
among the vehicles having a maximum power of less than 100 BHP?
(1) 124.6 (2) 237.5 (3) 182.1 (4) 287.5
7. Approximately what percentage of the cars given in the table cannot finish a rally race which involves 2 legs each of length 900 km, given that each car is allowed to refuel only once during the rally after the start (all cars start the rally with a full tank of fuel)?
(1) 25% (2) 26% (3) 27% (4) 20%
H = Hydraulic; LS = Leaf Spring; MS = Mcpherson Struts; ITA = Independent Trailing Arm
8. How many cars here have a boot space to fuel tank capacity ratio of more than 2.9 and whose price is less than Rs.8 lacs?
(1) 9 (2) 8 (3) 7 (4) 5
9. If all the cars are ranked in the ascending order of the number of revolutions of the tyre required to cover a distance of 1 km, then find the average fuel consumption for the top six ranked cars?
(1) 11.66 km/litre (2) 9.33 km/litre (3) 10.20 km/litre (4) 6.54 km/litre
10. What is the ratio of the number of vehicles which have a Kerb Weight of less than 1200 kg and also use a leaf spring in their suspension to the number of vehicles whose Engine Displacement (in cc.) is more than their Kerb Weight (in kgs)?
(1) 5 : 14 (2) 1 : 3 (3) 2 : 5 (4) 6 : 13
DIRECTIONS for the questions 11 to 15: These questions are based on the following chart which expresses the ratio of the cumulative deposits over different time horizons mentioned to the total asset base of the bank (the asset base of the bank remaining constant for the entire period). The chart gives the ratios for five time horizons for two banks, PNB and BOB.
62% 60% 17% 13% 10% 67% 65% 25% 18% 15% 0% 10% 20% 30% 40% 50% 60% 70% 80% < 3 M onths < 6 M onths < 1 Y r < 3 Y rs < 5 Y rs T im e H orizons Ratio P N B B O B
0 5 10 15 20 25 30 35 40 45 50 1989 1990 1991 1992 1993 1994 1995 Y, Z (in 000's) 100 105 110 115 120 125 130 135 140 145 150 155 160 X (in 000's)
Y
Z
X
11. During which of the following time period is the absolute value of deposits the maximum for BOB?
(1) 3 to 6 months (2) 6 months to 1 yr (3) 1 yr to 3 yrs (4) 3 yrs to 5 yrs
12. Based on the data provided it can, be concluded that:
(1) The deposits in the ‘3 to 5 years’ time period is minimum in terms of absolute values for both PNB and BOB.
(2) The total asset base of PNB is more than that of BOB.
(3) The cumulative deposits in the time horizon of ‘less than 5 years’ is lower for PNB than BOB. (4) None of the above can be inferred.
13. If the total asset base of BOB is Rs.500 crore and that of PNB is Rs.750 crore, then the difference between the cumulative deposits of the two banks for the ‘less than 6 months’ time horizon is:
(1) Rs.12.50 crore (2) Rs.7.50 crore (3) Rs.15 crore (4) Cannot be determined
14. The total asset base of PNB is 10% higher than that of BOB for the current year. Also, the growth rate of the total asset base this year is 15% for BOB while the total asset base of PNB fell by 5% in this year. If the ratios for the given time horizons in the next year are same as that in this year, then which of the following statements is/are true?
I. The cumulative deposits of BOB in the current year for the ‘less than 5 years’ time horizon are higher than the cumulative deposits of PNB for the next year for the same time horizon.
II. In the next year, the total asset base of BOB is higher than that of PNB by approximately 10%.
III. The cumulative deposits of PNB for the ‘less than 3 months’ time horizon in the current year are higher than that of PNB for the ‘less than 6 months’ time horizon in the next year.
(1) I and II (2) I only (3) I, II only (4) I and III only
15. By what percent do the deposits of BOB during the ‘1 to 3 years’ time period exceed its cumulative deposits for the less than 1 year’ time horizon?
(1) 60% (2) 55% (3) 30% (4) None of these
DIRECTIONS for questions 16 to 20: These questions are based on the line graph given below which gives the number of graduates passing out of Indian Universities (X), the number of graduates getting U.S. visa (Y) and the number of students applying to Indian Management Institutes (Z).
16. If it is expected that Z will vary directly with Y, then in how many years is contradictory data noticed?
(1) 4 (2) 3 (3) 2 (4) 1
17. If it is believed that in any year compared to its previous year Z increases or decreases respectively as X increases or decreases, and it decreases or increases respectively as Y increases or decreases, then in which of the following years is the belief proved completely wrong?
18. If it is believed that the relationship between X, Y and Z is best expressed by Z = X - 4Y for any year, the data for which of the following years best satisfies this relationship?
(1) 1990 (2) 1993 (3) 1989 (4) 1994
19. If it is believed that the relationship between X, Y and Z is best expressed by Z = 0.4X - Y for any year, the data for which of the following years best satisfies this relationship?
(1) 1989 (2) 1991 (3) 1990 (4) 1994
20. If out of the total number of graduates passing out of Indian universities, those who neither get U.S visas nor apply to Indian Management Institutes take up “other careers”, then in which of the following years was the number of graduates taking up “other careers” the least?
(1) 1990 (2) 1989 (3) 1994 (4) Cannot be determined
DIRECTIONS for questions 21 to 25: These questions are based on the table given below which gives the details of the performance of eight students - S1 to S8 - in examination consisting of four sections - Verbal Ability, Quantitative Ability, Reading Comprehension, and Data Interpretation.
= → Number of questions correct x → Number of questions wrong net → Net score in the section
Cut-off Marks
Note: Students qualify in the test if they score more than or equal to the cut off mark in all the sections. The sum of the net scores in all four sections together is called Grand Total.
21. Among the students who have qualified what is the maximum Grand Total?
(1) 106.5 (2) 108.5 (3) 100 (4) 103
22. What is the least Grand Total among the students who have qualified?
(1) 100 (2) 96 (3) 94 (4) 96.5
23. Who among the following committed the maximum number of mistakes?
(1) S1 (2) S2 (3) S3 (4) S7
Student Code Verbal Ability QuantitativeAbility ComprehensionReading InterpretationData
= x net = x net = x net = x net
S1 S2 S3 S4 S5 S6 S7 S8 20 42 36 7 20 40 34 28 4 8 14 4 30 10 10 20 19 40 32.5 6 12.5 37.5 31.5 2 32 17 30 12 11 30 24 32 12 4 12 8 12 20 4 16 29 16 27 10 8 25 23 28 35 40 34 32 18 30 35 30 10 10 16 12 4 20 12 16 32.5 37.5 30 29 17 25 32 26 14 20 18 14 10 15 18 20 8 5 4 4 12 10 6 4 12 18.75 17 13 7 12.5 16.5 19 50
Total number of questions in Cut off
Quantitative Ability Verbal Ability Reading Comprehension Data Interpretation 23 50 18 50 22 50 10 Section
24. Which of the following statements is/are true?
I. The person who scored the maximum mark in Reading Comprehension did not qualify in the test. II. The person who had the maximum Grand Total did not get maximum in any of the individual sections. III. S8 attempted maximum number of questions among all the students.
(1) Only I (2) Only I and III
(3) All the three statements (4) Only I and II
25. Who among the following answered maximum number of questions correctly?
(1) S8 (2) S7 (3) S5 (4) S6
DIRECTIONS for questions 26 to 30: These questions are based on the diagram and information given below.
Given above is the pipeline network of ‘XYZ Water Works’ that manages the drinking water supply for a certain city. Each of the pipeline segments has a maximum capacity of 1000 litres per minute. The slack in any pipeline is defined as the extra flow required in it to bring it to full capacity. The magnitudes of the flow in some of the pipelines, along with the directions, and the requirements at some of the hubs are given (both in litres per minute i.e., lpm). The magnitude and the direction of flow in certain pipelines and the requirements at certain hubs are to be found.
Note: Every hub except A, which is the only source, has a certain minimum requirement, which for some of the hubs, is indicated in the rectangles next to the respective hubs. The flow through the pipe line is indicated on the top of the line.
26. What is the maximum possible requirement (in lpm) that can be met at the hub I?
(1) 1000 (2) 900 (3) 800 (4) 700
27. Find the requirement (in lpm) at the hubs H and B put together.
(1) 200 (2) 300 (3) 500 (4) 600
28. Find the slack (in lpm) in the pipeline joining A to D.
(1) 0 (2) 300 (3) 400 (4) Cannot be determined
29. Find the requirement (in lpm) at hub E.
(1) 200 (2) 300 (3) 100 (4) 400
30. Find the total supply (in lpm) from A if the pipeline connecting D to I has a slack of 400 lpm.
(1) 2400 (2) 2500 (3) 2600 (4) 2700
100 G E B A C F H J D I
1000
400
200
100
100
200
300
100
100
100
300
300
600
DIRECTIONS for questions 31 to 35: These questions are based on the pie-charts given below which give the country-wise breakup of the world oil trade by value, for the year 1999.
All trade transactions are carried out at a constant international price. Total production of oil in 1999 is worth $1350 billion.
Total exports = 40% of total production (by value). Total world exports = Total world imports.
Revenue surplus from oil trade for a country = Value of Exports − Value of Imports
31. If 10% of Iran’s exports and 40% of Others’ exports go to India, with India’s remaining imports coming from Iraq, then approximately what is the worth of the oil that Iraq exports to India?
(1) $3 bn (2) $30 bn (3) $40 bn (4) Data insufficient
32. Among the following countries, which country gets the maximum revenue surplus from oil trade?
(1) India (2) Russia (3) Iran (4) USA
33. If 10% of Iran’s exports and 12.5% of Russia’s exports go to Japan, what percentage of Japan’s imports come from Iraq?
(1) 3.17% (2) 7.02% (3) 13% (4) Cannot be determined
34. Which country has the highest revenue surplus to exports ratio?
(1) Iraq (2) Iran (3) Russia (4) Others
35. If Iraq exports an additional $123 billion worth of oil, which is exported (by value) to the various countries in the ratio of their present shares of world oil imports, then Japan’s oil imports will bear what ratio to that of India (approximately) ?
(1) 1.06 : 1 (2) 1.10 : 1 (3) 1.15 : 1 (4) Cannot be determined
DIRECTIONS for questions 36 to 40: These questions are based on the data given below. Imports Iraq 6% Others 9% Iran 14% Russia13% Japan 17% USA 25% India 16% Exports Iraq 45% Others 16% Iran 22% USA 10% Russia 7% Capital Promoters Others Ä 25% D 30% Ä 75% D 70% Debt Flls Banks Other Ä 60% D 70% Ä 25% D 20% Ä 15% D 10% Revenue Sales Interest on
Investment Other Income
Ä 80% D 70% Ä 5% D 10% Ä 15% D 20% Expenditure Salaries Interest on Debt Others Ä 35% D 40% Ä 15% D 20% Ä 50% D 40% Head Capital Debt Revenue Expenditure ⊗ ∆ 10 30 15 20 15 20 20 25
⊗ → Actual amounts for the year ending 31/03/03 ∆ → Proposed / Estimated for the year ending 31/03/04
36. During the year ending 31/03/03, what is the rate of interest paid on the debt taken from FIIs, if the average rate of interest paid on the debt taken from Banks and Others is 61/
4%?
(1) 71/
2% (2) 77/9% (3) 81/3% (4) 88/9%
37. If the sales were Rs.100 crores and the interest paid was Rs.10.5 crores, what would be the profit (in Rs. Crore) earned for the year ending on 31/3/2003 ? (Profit = Revenue – Expenditure).
(1) 35 (2) 55 (3) 70 (4) 80
38. Which of the following statements is correct?
(1) During the year ending 31/03/04 the promoters propose to increase the capital by 5%. (2) The proposed sales is Rs.2.50 crore more than the actual sales.
(3) The average rate of interest on debt is expected to decrease by 5 percentage points. (4) The other income is proposed to be increased by Rs.2 crore.
39. If 40% of the profit for the year 31/3/2003 is earmarked to pay dividend to 25,000 shareholders holding 100 shares of Rs.10 each, what are the earnings per share?
(1) Rs.1.20 (2) Rs.0.80 (3) Rs.8.00 (4) Rs.2.40
40. For which of the following is the proposed value for the year ending 31/03/04, as a percentage of the actual value for the year ending 31/03/03 the highest?
(1) Capital by ‘Others’ (2) Debt from ‘Others’
(3) Expenditure on Salaries (4) Revenue from interest on investment
DIRECTIONS for questions 41 to 45: These questions are based on the diagram given below which represents the distribution of the number of students from a well known institute of CAT coaching in India getting admissions at five prestigious Institutes of Management in India.
41. Of the students who did not get admission into IIMA but did get admission into IIMC, how many did not get admission into IIMB or did not get admission into IIML?
(1) 34 (2) 35 (3) 37 (4) None of these
42. How many students are there who got admission into at least one among IIMA and IIMI and also got admission into at least one among IIMB and IIMC but definitely did not get admission into IIML?
(1) 35 (2) 34 (3) 33 (4) None of these
43. How many students got admission into at least two of the given colleges?
(1) 199 (2) 188 (3) 119 (4) None of these
44. How many students got admission into exactly four of the given colleges?
(1) 25 (2) 30 (3) 32 (4) None of these
45. How many students got admission into exactly two or exactly three of the given colleges?
(1) 87 (2) 90 (3) 91 (4) None of these → IIMA → IIMB → IIMC → IIML → IIMI 1 24 6 15 11 14 5 4 8 22 17 6 5 7 8 12 6 4 2 16 7
DIRECTIONS for questions 46 to 50: These questions are based on the following table.
The table shows a schedule of 20 topics across three areas, Quantitative Aptitude (Q), Logic (L) and English (E), to be covered by a student appearing for the SITE exam. In the schedule, any number of topics can be done simultaneously subject to the only condition that the prerequisite/s for that topic is/are already done.
SCHEDULE OF PREPARATION FOR SITE EXAM
46. What is the minimum number of days required for the complete preparation?
(1) 13 (2) 14 (3) 19 (4) 49
47. How many topics cannot be covered within the first five days of preparation?
(1) 10 (2) 12 (3) 13 (4) None of these
48. Manish and Vittal start preparing for Quantitative Aptitude and English respectively on the same day. If Vittal continues with Quantitative Aptitude after English and Manish continues with Logic after Quantitative Aptitude, then the person who completes his preparation of the two topics first will do so by how many days? (Assume that each prepares topics of only one area at a time.)
(1) 0 (2) 1 (3) 2 (4) 3
49. For which of the following topics/set of topics is the minimum number of days required for completion the maximum?
(1) Time and Work
(2) Vocabulary, Grammar and Reading Comprehension (3) All the Logic topics
(4) Profit and Loss
50. What is the average number of days per topic required at the minimum?
(1) 7/10 (2) 4/5 (3) 9/10 (4) None of these
Sl.No. Names of the topics Time for preparation(in days) Topics to be necessarily learnt beforethis. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 19 20 17 18 Logic Basics (L) Numbers (Q) Number Series (L) Letter Series (L) Equations (Q) Grammar (E) Time and Work (Q) Analogies (L) Mixtures (Q) Vocabulary (E) Ratios (Q)
Time and Distance (Q) Reading Comprehension (E) Venn Diagrams (L) Averages (Q) Deductions (L) Percentages (Q) Paragraph Forming (E) Profit and Loss (Q)
Numbers 2 1 1 2 1 4 3 2 1 6 2 3 5 2 1 2 2 4 2 Nil Nil Nil Numbers Mixtures Nil
Numbers, Ratios, Equations Nil
Averages, Ratios, Percentages, Profit and Loss Nil Equations Ratios, Equations Nil Nil Numbers, Equations Nil Ratios Nil Percentages, Ratios 3 Progressions (Q)
