Chapter 15: MISCELLANEOUS


Data interpretation


Ghosh Babu surveyed his companies and obtained the following data. Income tax is paid from profit before tax and the remaining amount is apportioned to dividend and retained earnings. The retained earnings were accumulated into reserves. The reserves at the beginning of 1991 were Rs.80 lakh.


Q.In which year was the tax per rupee of 'profit before tax’ lowest?


  1. 1991
  2. 1992
  3. 1993
  4. 1994

Ans.d


Q.In which year was the sales per rupee of share capital highest


  1. 1991
  2. 1992
  3. 1993
  4. 1994

Ans.a


Q.In which year was the profit before tax per rupee of sales highest?


  1. 1991
  2. 1992
  3. 1993
  4. 1994

Ans.d


Q.In which year was the percentage addition to reserves over previous years reserves the highest?


  1. 1991
  2. 1992
  3. 1993
  4. 1994

Ans.a


Q.Amount of the reserves at the end of 1994 is


  1. Rs.935 lakh
  2. Rs.915 lakh
  3. Rs.230 lakh
  4. None of these

Ans.a


Data interpretation



Q.The maximum percentage decrease in market share is


  1. 60%
  2. 50%
  3. 53.3%
  4. 20%

Ans.b


Q.The city in which minimum number of products increased their market shares in 1993-94 is


  1. Mumbai
  2. Delhi
  3. Kolkata
  4. Chennai

Ans.b


Q.The market shares of which products did not decrease between 1993-94 in any city?


  1. HD
  2. CO
  3. BN
  4. None of these

Ans.d


Q.The number of products which had 100% market share in four metropolitan cities is


  1. 0
  2. 1
  3. 2
  4. 3

Ans.a


Q.The number of products which doubled their market shares in one or more cities is


  1. 0
  2. 1
  3. 2
  4. 3

Ans.b


Data interpretation



Q.The operating profit in 1991-92 increased over that in 1990-91 by


  1. 23%
  2. 22%
  3. 25%
  4. 24%

Ans.a


Q.The interest burden in 1991-92 was higher than that in 1990-91 by


  1. 50%
  2. Rs.25 lakh
  3. 90%
  4. Rs.41 lakh

Ans.b


Q.If on an average, 20% rate of interest was charged on borrowed funds, then the total borrowed funds used by this company in the given two years amounted to


  1. Rs.221 lakh
  2. Rs.195 lakh
  3. Rs.368 lakh
  4. Rs.515 lakh

Ans.d


Q.The retained profit in 1991-92, as compared to that in 1990-91 was


  1. higher by 2.5%
  2. higher by 1.5%
  3. lower by 2.5%
  4. lower by 1.5%

Ans.d


Q.The equity base of these companies remained unchange(d) Then the total dividend earning by the share holders in 1991-92 is


  1. Rs.104 lakh
  2. Rs.9 lakh
  3. Rs.12.8 lakh
  4. Rs.15.6 lakh

Ans.c


Data interpretation



Q.In which year was the trade deficit highest?


  1. 1987-88
  2. 1988-89
  3. 1989-90
  4. 1990-91

Ans.b


Q.In how many years was the trade deficit less than the trade deficit in the succeeding year?


  1. 1
  2. 2
  3. 3
  4. 4

Ans.d


Q.Export earning in 1990-91 is how many per cent of imports in 1991-92?


  1. 82%
  2. 85%
  3. 90%
  4. 15%

Ans.c


Q.In the last three years, the total export earnings have accounted for how many per cent of the value of the imports?


  1. 80%
  2. 83%
  3. 95%
  4. 88%

Ans.d


Q.Which of the following statements can be inferred from the graph?
I. In all the years shown in the graph, the trade deficit is less than the export earning.
II. Export earnings increased in every year between 1989-90 and 1991-92.
III. In all the years shown in the graph, the earning by exports is less than the expenditure on imports in the preceding year.


  1. I only
  2. II only
  3. III only
  4. I and III only

Ans.a


Data interpretation



Q.Which year shows the highest change in revenue obtained from journals?


  1. 1989
  2. 1990
  3. 1991
  4. 1992

Ans.c


Q.In 1992, what per cent of the total revenue came from books?


  1. 45%
  2. 55%
  3. 35%
  4. 25%

Ans.a


Q.The number of years in which there was an increase in revenue from at least two categories is


  1. 1
  2. 2
  3. 3
  4. 4

Ans.b


Q.If 1993 were to show the same growth as 1992 over 1991, the revenue in 1993 must be


  1. Rs.194 lakh
  2. Rs.187 lakh
  3. Rs.172 lakh
  4. Rs.177 lakh

Ans.d


Q.The growth in total revenue from 1989 to 1992 is


  1. 21%
  2. 28%
  3. 15%
  4. 11%

Ans.c


Data interpretation


Machine M1 as well as machine M2 can independently produce either product P or product Q. The time taken by machines M1 and M2 (in minutes) to produce one unit of product P and product Q are given in the table below: (Each machine works 8 hour per day).


Q.What is the maximum number of units that can be manufactured in one day?


  1. 140
  2. 160
  3. 120
  4. 180

Ans.b


Q.If M1 works at half its normal efficiency, what is the maximum number of units produced, if at least one unit of each must be produced?


  1. 96
  2. 89
  3. 100
  4. 119

Ans.d


Q.What is the least number of machine hours required to produce 30 pieces of P and 25 pieces of Q respectively?


  1. 6 hr 30 min
  2. 7 hr 24 min
  3. 6 hr 48 min
  4. 4 hr 6 min

Ans.a


Q.If the number of units of P is to be three times that of Q, what is the maximum idle time to maximize total units manufactured?


  1. 0 min
  2. 24 min
  3. 1 hr
  4. 2 hr

Ans.a


Q.If equal quantities of both are to be produced, then out of the four choices given below, the least efficient way would be


  1. 48 of each with 3 min idle
  2. 64 of each with 12 min idle
  3. 53 of each with 10 min idle
  4. 71 of each with 9 min idle

Ans.c


Data interpretation


A company produces five types of shirts — A, B, C, D and E — using cloth of three qualities — high, medium
and low -, using dyes of three qualities — high, medium and low. One shirt requires 1.5 m of cloth. The following table gives respectively:
1. The number of shirts (of each category) produced, in thousands
2. The percentage distribution of cloth quality in each type of shirt, and
3. The percentage distribution of dye quality in each type of shirt


Q.What is the total requirement of cloth?


  1. 1,50,000 m
  2. 2,00,000 m
  3. 2,25,000 m
  4. 2,50,000 m

Ans.a


Q.How many metres of low-quality cloth is consumed?


  1. 22,500 m
  2. 46,500 m
  3. 60,000 m
  4. 40,000 m

Ans.b


Q.How many metres of high quality cloth is consumed by A-type shirts?


  1. 8,000 m
  2. 112,000 m
  3. 24,000 m
  4. 30,000 m

Ans.c


Q.What is the ratio of the three qualities of dyes in high-quality cloth?


  1. 2 : 3 : 5
  2. 1 : 2 : 5
  3. 7 : 9 : 10
  4. Cannot be determined

Ans.d


Q.What is the ratio of low-quality dye used for C-type shirts to that used for D- type shirts?


  1. 3 : 2
  2. 2 : 1
  3. 1 : 2
  4. 2 : 3

Ans.b


Introduction


Q. In a 1 km race, A beats B by 28 m or 7 seconds. Find A's time on the course.
A. B covers 28 m in 7 secs so for a 1 km race he will need 7000 / 28 = 250secs
A needs 7 secs less so 243 secs i.e. 4 min 3 secs.

Q. A runs 1  3/4 times as fast as B. If B gets a start of 84m how far must the winning post be so that both reach at the same time?
A. Let the winning post be 'x' m. Since both have to reach at same time we equate time. Time = Distance / Speed.
x/7y/4 = (x-84)/y
4x/7y = (x-84)/y
4x = 7x - 588
588 = 3x and we get x = 196m



Clock


In 60 minutes, the minute hand gains 55 minutes on the hour hand.

Q. Find the angle between the hour hand and the minute hand at 3:25
A. Hour hand covers 360 in 12 hours so the angle it covers in 3 hrs 25 mins or 3 25/60 hrs = 3 5/12 = 41/12 hrs is (360 / 12) * (41/12) = 102 1/2.
Angle traced by minute hand in 25 mins = ( 360 / 60 ) * (25) = 150
Angle at 3:25 = 150 - 102.5 = 47.5




Q. At what time between 2 and 3 'o clock will the hour and the minute hand will be together.
A.
In 60 minutes, the minute hand gains 55 minutes on the hour hand.
The minute hand is at 12 and hour hand is at 2. The minute hand must gain 10 mins to meet the hour hand. So 60 * 10 / 55 = 120/11 mins the minute hand shall gain 10 mins and be together with hour hand.

Q. At what time between 4 and 5 pm shall the hour and minute hand be at right angles ?
A. To be at right angles the minute hand must be 15mins behind the hour hand. At 4 pm it is 20 mins behind so it must gain 5 mins. We know that it gains 55 mins in 60 mins so to gain 5 mins
60 * 5 / 55 = 60/11 mins.

Data Interpretation




Q.

2006 Data of cities
2006 Data of population in thousands
2006 Data of number of offenders
2006 Data of number of 18-28 year olds in thousands
1999 data of number of offenders
A 129.2 380 20.4 396
B 118 392 16.9 380
C 72.4 273 7.3 214
D 25.1 166 6.3 176

1. Which city has highest percentage of 18-28 year olds in 2006.
A.  D

2. Relative to population which city has lowest rate of offenders in 2006?
A. A

3. Which city had the largest % decrease in number of offenders between 1999 and 2006?
A. D

Q.

1. Total funds are how much.
A. 57600

2. How much of total share comes from borrowing in %.
A. 52%


Bar Chart


Q. Read and Answer the questions.


Q. %age increase in sales from 2001 to 2002


Answer: 122


Q. Sum of sales of phones in 1999 and 2001 is equal to that in year


Answer: 1997


Q. 2 years between which the rate of change of cell phones is minimum is


Answer: 1997-1998 and 1999-2000


Q. %age decline in sales from 1998-2002 is


Answer: 0





Q. Read and Answer the questions.


Q. The ratio of HM's production in 2003-04 to Hondas production in 2002-03 is


Answer: 1.5


Q. For how many countries there has been no decrease in production from previous year.


Answer: three


Q. How many companies have shown below average production in 2002-3 but have shown average production 2003-4


Answer: three




Q. Read and Answer the questions.


Q. What fraction of India's GDP is accounted for by services


Answer: 1/5


Q. If total GDP of Pakistan is Rs. 10000 crore then what is by manufacturing.


Answer: 2000 crore




Q. If total GDP of India is Rs 30000 crore then contribution of agriculture, services and miscellaneous.


Answer: 21000 crore


Q. Which country accounts for higher earning out of services and miscellaneous together?


Answer: cant say


Q. If total GDP is same for both countries then what % is Paks income through agriculture over India's income through services


Answer: 100%




Q. Read and Answer the questions.


Q. India's total FDI for all years


Answer: 93.82




Q. Absolute difference in FDI in 1996 and 1997


Answer: 7.13


Q. Ratio of FDI in 1997 to 1992


Answer: 5.5


Q. Which year shows highest growth in FDI over the period shown


Answer: 1996




Q. Read and Answer the questions.


Q. Which country has highest GDP during 2001-5


Answer: UK


Q. Which country has highest GDP during 2006-10




Answer: UK


Q. GDP of UAE is what fraction of the GDP of UK


Answer: 1/5th


Q. Which country shows most increase in GDP in first half than second


Answer: Australia




Q. Read and Answer the questions.


Q. Which month showed highest difference in CPI over previous month


Answer: April


Q. Which month showed highest % difference in CPI


Answer: April




Q. For how many months was CPI greater than 350


Answer: Two


Q. In how many months was there a decrease in CPI


Answer: Two


Q. The months in which there was increase in CPI over the months there was a decrease in CPI are


Answer: One




Q. Read and Answer the questions.


Q. Number of year during which consumption of metal was less than plastic


Q. Total consumption of plastics divided by total consumption of metal is


Q. Which item shows highest change in consumption over previous years


Q. How many years have shown a decrease in consumption over previous years for both items




Q. Which year showed highest % increase in total consumption


Q. Which year showed highest % decrease in total consumption


1- four 2- 5:4
3- Metal 2002 4- one
5- 2002 6- 2001



Q. Read and Answer the questions.


Q. Requirement of calories are equal for both sexes at what age


Q. Calories needed by boys is how much greater or lesser than that of girls at age of 6 months




Q. What is the daily calorific need of boys of age 4,6,8,12 months and girls of age 2, 8 ,16 months.


Q. If in the above case the girl aged 16 months goes away than what is the % change in calorie needed for family


Q. How many months show a decrease in calorific intake in boys compared to previous


1- 2 months and 8 months 2- 250 cal
3- 12100 4- 16.3%
5- 3



Q. Read and Answer the questions.


Q. Investment of NRI is Rs. 4000 crore then investment of corporates and FII is


Q. If the total investment is Rs. 335000 crore and doesnt include investment of FII and corporate houses then investment by NRI and offshore funds is


Q. Ratio of investment of NRI to corporate houses is


Q. The corporate sector arc has how many degrees


Q. If FII investment doubles next year but other investment remains same then what is % of FII investment in new chart


Q. After investment of FII is doubled the investment is $500 million so what is the total investment in Indian bonds.


1- 24363 crore 2- 274100
3- 1:3 4- 122
5- 50% 6- 1000



Q. Read and Answer the questions.


Q. If 18 million tourists went to Japan then how many went to USA


Q. In above example how many Indian tourists visited foreign nations


Q. Switzerland accounted for 25% of the tourist traffic amongst other nations category. so how many went there


Q. If UK tourists doubled but others remained same. what is new proportion of UK in the pie chart


Q. If USA tourists are halved but others remain same then the second most favorite destination for Indians is


1- 24 million 2- 60 million
3- 3 million 4- 18.18%
5- USA


The following graph shows the value of liquor supplied by the 5 states in 1996 and the excise duty rates in each state.


Q.What is the lowest percentage difference in the excise duty rates for any two states?


  1. 12
  2. 15
  3. 20
  4. cant say

Ans.d


Q.Which of the five states manufactured liquor at the lowest cost?


  1. Tamil Nadu
  2. Delhi
  3. The states which has the lowest value for (wholesale price-Excise duty) per litre
  4. cant say

Ans.d



Q.If Excise duty is levied before the goods leave the factory (on the value of the liquor), then which of the following choices shows distilleries in ascending order of the excise duty paid by them for the year 1996? (Assume the total liquor in TN is supplied by only these 5 distilleries).


  1. ECABD
  2. ADEBC
  3. DCEBA
  4. cant say

Ans.c


Q.If the Tamil Nadu distillery, with the least average simple annual growth in amount of liquor supplied in the given period had shown the same rate of growth as the one which grew fastest, what would that company's supply have been in 1998, in lakh liters?


  1. 13
  2. 15.11
  3. 130
  4. cant say

Ans.b



Refer to the following Bar-chart and answer the questions that follow :


Q.What is the average value of the contract secured during the years shown in the diagram?


  1. Rs. 103.48 crore
  2. Rs. 105 crore
  3. Rs. 100 crore
  4. Rs.125.2 crore

Ans.a


Q.Compared to the performance in 1985 (i.e. taking it as the base), what can you say about the performances in the years 1984, 1985, 1986, 1987, 1988 respectively, in percentage terms?


  1. 150, 100, 211, 216, 97
  2. 100, 67, 141,144,65
  3. 150, 100, 200, 215, 100
  4. 120, 100, 220, 230, 68

Ans.a



Q.Which is the year in which the highest percentage decline is seen in the value of contract secured compared to the preceding year?


  1. 1985
  2. 1988
  3. 1984
  4. 1986

Ans.b


The table below shows the estimated cost (in Rs. Lakh) of a project of laying a railway line between two places.


Q.The total expenditure is required to be kept within Rs. 700 lakh by cutting the expenditure on administration equally in all the years. What will be the percentage cut for 1989?


  1. 22.6%
  2. 32.6%
  3. 42.5%
  4. 52.6%

Ans.c


Q.If the length of line to be laid each year is in proportion to the estimated cost for material and labour, what fraction of the total length is proposed to be completed by the third year?


  1. 0.9
  2. 0.7
  3. 0.6
  4. 0.3

Ans.b



Q.What is the approximate ratio of the total cost of materials for all the years to the total labour cost?


  1. 4:1
  2. 8:1
  3. 12:1
  4. 16:1

Ans.b


Q.If the cost of materials rises by 5% each year from 1990 onwards, by how much will the estimated cost rise?


  1. Rs. 11.4 lakh
  2. Rs. 16.4 lakh
  3. Rs.21.4 lakh
  4. Rs.26.4 lakh

Ans.b


Q.It is found at the end of 1990, that the entire amount estimated for the project has been spent. If for 1991, the actual amount spent was equal to that which was estimated, by what percent (approximately) has the actual expenditure exceeded the estimated expenditure?


  1. 39
  2. 29
  3. 19
  4. 9

Ans.b


Q.After preparing the estimate, the provision for contingencies is felt inadequate and is therefore doubled. By what percent does the total estimate increase?


  1. 3.47
  2. 2.45
  3. 1.50
  4. 3.62

Ans.a


The first table gives the number of saris (of all the eight colours) stocked in six regional showrooms. The second gives the number of saris (of all the eight colours) sold in these six regional showrooms. The third table gives the percentage of saris sold to saris stocked for each colour in each region. The fourth table gives the percentage of saris of a specific colour sold within that region. The fifth table gives the percentage of saris of a specific colour sold across all the regions. Study the tables and for each of the following questions, choose the best alternative


Q.Which region-colour combination accounts for the highest percentage of sales to stock?


  1. (1, Brown)
  2. (2, Yellow)
  3. (4, Brown)
  4. (5, Red)

Ans.c


Q.Which colour is the most popular in region1?


  1. Blue
  2. Brown
  3. Green
  4. Violet

Ans.b



Q.Which region sold the maximum percentage of magenta saris out of the total sales of magenta saris?


  1. 3
  2. 4
  3. 2
  4. 1

Ans.d


Q.Out of its total sales, which region sold the minimum percentage of green saris?


  1. 1
  2. 6
  3. 4
  4. 2

Ans.b


Q.In which region is the maximum percentage of blue saris sold?


  1. 2
  2. 3
  3. 1
  4. 4

Ans.a


: The table below gives the achievements of Agricultural Development Programmes from 1983 - 84 to 1988 - 89. Study the following table and for each of the following questions, choose the best alternative


Q.The consumption of chemical fertilizer per hectare of gross cropped area is lowest for the year


  1. 1984 - 85
  2. 1985 - 86
  3. 1986 - 87
  4. 1987 - 88

Ans.a


Q.In which year does the area cropped under high yielding varieties show a decline for the maximum number of crops?


  1. 1988 - 89
  2. 1985 - 86
  3. 1986 - 87
  4. None of these

Ans.a



Q.How much area, in million hectares, was brought under irrigation during the year 1986-87?


  1. 58.20
  2. 1.43
  3. 0.80
  4. 2.23

Ans.d


Q.It is possible that a part of the minor irrigated area is brought under major and medium areas. In which year has this definitely happened?


  1. 1984 - 85
  2. 1985 - 86
  3. 1986 - 87
  4. 1987 - 88

Ans.d



Data interpretation


data interpretation for CAT

The following table gives the national income and the population of a country for the years 1984 - 85 to 1989 - 90. For each o the following questions choose the best alternative:




Q.The increase in the per capita income compared to the previous year is lowest for the year :


  1. 1985-86
  2. 1986-87
  3. 1987-88
  4. 1989-90

Ans.b


Q.The per capita income is highest for the year


  1. 1984-85
  2. 1985-86
  3. 1987-88
  4. 1989-90

Ans.d


Q.The difference between the percentage increase in per capita income and the percentage increase in the population compared to the previous year is highest for the year:


  1. 1985-86
  2. 1986-87
  3. 1987-88
  4. 1988-89



Ans.d


Q.The rate of increase in population was lowest in the year:


  1. 1985-86
  2. 1987-88
  3. 1989-90
  4. None of these

Ans.a


Q.Increase in the per capita income compared to the previous year among the years given below was highest for the year:


  1. 1985-86
  2. 1986-87
  3. 1987-88
  4. 1989-90

Ans.a




Data interpretation


data interpretation for CAT

The graph below shows the end of the month market values of 4 shares for the period from January to June. Answer the following questions based on this graph.


Q.Which share showed the greatest percentage increase in market value in any month during the entire period?


  1. a
  2. b
  3. c
  4. d

Ans.d




Q.In which month was the greatest absolute change in market value for any share recorded?


  1. March
  2. April
  3. May
  4. June

Ans.a


Q.In which month was the greatest percentage increase in market value for any share recorded?


  1. February
  2. March
  3. April
  4. May

Ans.a




Q.An individual wishes to sell 1 share of C and 1 share of D to buy 1 share of A at the end of a month. At which month-end would the individual's loss from this decision, due to share value changes, be the most?


  1. February
  2. March
  3. April
  4. June

Ans.d


Q.An individual decides to sell 1 share of C and 1 share of D to buy 1 share of A at the end of the month. What can be the individual's greatest gain from this decision, due to share value changes?


  1. 5
  2. 10
  3. 15
  4. none

Ans.b



Q.What is the total number of ways to reach A to B in the network given?

data interpretation for cat
  1. 12
  2. 16
  3. 20
  4. 22

Ans.b


Read and answer:



Q.Which of the following salts has greatest solubility?


  1. Potassium Chlorate at 80°C.
  2. Potassium Chloride at 35°C
  3. Potassium Nitrate at 39°C.
  4. Sodium Chloride at 85°C.

Ans.c


Q.Approximately, how many kg of Potassium Nitrate can be dissolved in 10 litres of water at 30°C?


  1. 0.04
  2. 0.4
  3. 4
  4. 0.35

Ans.c


Q.By what percentage is the solubility of Potassium Chlorate in water increased as the water is heated from 30°C to 80°C?


  1. 100
  2. 200
  3. 250
  4. 300

Ans.d


Q.If 1 mole of Potassium Chloride weighs 0.07456 kg, approximately. How many moles of Potassium Chloride can be dissolved in 100 litres of water at 36°C?


  1. 700
  2. 650
  3. 480
  4. 540

Ans.d


Q.Which of the salts has greater change in solubility in kg / litre of water between 15°C and 25°C?


  1. Potassium Chlorate
  2. Potassium Nitrate
  3. Sodium Chlorate
  4. Sodium Nitrate

Ans.c


Read and answer:


A leading socialite decided to organize a dinner and invited a few of her friends. Only the host and the hostess were sitting at the opposite ends of a rectangular table, with three persons along each side. The pre-requisite for the seating arrangement was that each person must be seated such that atleast on one side it has a person of opposite sex. Maqbool is opposite Shobha, who is not the hostess. Ratan has a woman on his right and is sitting opposite a woman. Monisha is sitting to the hostess's right , next to Dhirubhai. One person is seated between Madhuri and Urmila who is not the hostess. The men were Maqbool, Ratan, Dhirubhai and Jackie, while the women were Madhuri, Urmila, Shobha and Monisha


Q.The eighth person present, Jackie, must be
I. the host
II. Seated to Shobha's right
III. Seated opposite Urmila


  1. I only
  2. III only
  3. I and II only
  4. II and III only

Ans.c


Q.Which of the following persons is definitely not seated next to a person of the same sex?


  1. Maqbool
  2. Madhuri
  3. Jackie
  4. Shobha

Ans.d


Q.If Ratan would have exchanged seats with a person four places to his left, which of the following would have been true after the exchange?
I. No one was seated between two persons of the opposite sex. (e.g. no man was seated between two women)
II. One side of the table consisted entirely of persons of the same sex.
III. Either the host or the hostess changed seats.


  1. I only
  2. II only
  3. I and II only
  4. II and III only

Ans.a


Q.If each person is placed directly opposite her spouse, which of the following pairs must be married?


  1. Ratan and Monisha
  2. Madhuri and Dhirubhai
  3. Urmila and Jackie
  4. Ratan and Madhuri

Ans.a


Read and answer:

In 1984 - 85 value of exports of manufactured articles exceeds over the value of exports of raw materials by 100%.
In 1985 - 86 the ratio of percentage of exports of raw material to that of exports of manufactured articles is 3 : 4.
Exports of food in 1985 - 86 exceeds the 1984 - 85 figures by Rs. 1006 crore.


Q.In 1984 - 85 what percentage of total values of exports accounts for items related to food


  1. 23%
  2. 29.2%
  3. 32%
  4. 22%

Ans.d


Q.During 1984 - 85, how much more raw material than food was exported?


  1. Rs. 2580 crore
  2. Rs. 896 crore
  3. Rs. 1986 crore
  4. Rs. 1852 crore

Ans.b


Q.Value of exports of raw materials during 1984 - 85 was how much percent less than that for 1985 - 86?


  1. 39
  2. 46.18
  3. 7
  4. 31.6

Ans.d


Q.The change in value of exports of manufactured articles from 1984 - 85 to 1985 - 86 is


  1. 296 crore
  2. 629 crore
  3. 2064 crore
  4. 1792 crore

Ans.a


Data Interpretation questions


Five of India's leading models are posing for a photograph promoting “World Peace and Understanding”. But then, Rakesh Shreshtha the photographer is having a tough time getting them to stand in a straight line, because Aishwarya refuses to stand next to Sushmita since Sushmita had said something about her in a leading gossip magazine. Rachel and Anu want to stand together because they are “such good friends, y'know”. Manpreet on the other hand cannot get along well with Rachel, because there is some talk about Rachel scheming to get a contract already awarded to Manpreet. Anu believes her friendly astrologer who has asked her to stand at the extreme right for all group photographs. Finally, Rakesh managed to pacify the girls and got a beautiful picture of five beautiful girls smiling beautifully in a beautiful straight line, promoting world peace.


Q.If Aishwarya is standing at the extreme left, who is standing in the middle?


  1. Manpreet
  2. Sushmita
  3. Rachel
  4. Cannot say

Ans.b


Q.If Aishwarya stands at the extreme left, who is standing second from left?


  1. Cannot say
  2. Sushmita
  3. Rachel
  4. Manpreet

Ans.d


Q.If Anu's astrologer tells her to stand second from left and Aishwarya decides to stand second from right, then who is the girl standing at the extreme right?


  1. Rachel
  2. Sushmita
  3. Cannot say
  4. Manpreet

Ans.d


Data interpretation questions: refer to the pie-chart given below


Data interpretation questions

Q.What fraction of (Approximately) Ghoshbabu's weight consists of muscular and skin protein?


  1. 1/13
  2. 1/30
  3. 1/20
  4. cant say

Ans.c


Q.Ratio of distribution of protein in muscle to the distribution of protein in skin is


  1. 3 : 1
  2. 3 : 10
  3. 1 : 3
  4. 3.5 : 1

Ans.a


Q.What percent of Ghosh Babu's body weight is made up of skin


  1. 0.15
  2. 10
  3. 1.2
  4. Cannot be determined

Ans.d


Q.In terms of total body weight, the portion of material other than water and protein is closest to


  1. 3/20
  2. 1/15
  3. 85/100
  4. 1/20

Ans.a


Data interpretation questions


A, B, C, D, E, F and G are brothers. Two brothers had an argument and A said to B “You are as old as C was when I was twice as old as D, and will be as old as E was when he was as old as C is now”. B said to A “ You may be older than F but G is as old as I was when you were as old as G is, and D will be as old as F was when F will be as old as G is”.


Q.Who is the eldest brother?


  1. a
  2. e
  3. c
  4. cant say

Ans.b


Q.Who is the youngest brother?


  1. b
  2. d
  3. f
  4. cant say

Ans.b


Q.Which two are probably twins?


  1. D and G
  2. E and C
  3. A and B
  4. Cannot be determined

Ans.c


Q.Which of the following is false?


  1. G has 4 elder brothers
  2. A is older than G but younger than E.
  3. B has three elder brothers
  4. There is a pair of twins among the brothers.

Ans.c


Data interpretation questions


Data interpretation questions

Q.What is the growth rate of sales of books at primary school level from 1975 to 1980?


  1. 29%
  2. 51%
  3. 63%
  4. 163%

Ans.c


Q.Which of the categories shows the lowest growth rate from 1975 to 1980?


  1. Primary
  2. Secondary
  3. Higher secondary
  4. Graduate Level

Ans.c


Q.Which category had the highest growth rate in the period?


  1. Primary
  2. Secondary
  3. Higher secondary
  4. Graduate Level

Ans.b


Q.Which of the categories had either a consistent growth or a consistent decline in the period shown?


  1. Primary
  2. Secondary
  3. Higher secondary
  4. Graduate Level

Ans.d


Data interpretation questions


Data interpretation questions

Q.What was the total number of engineering students in 1989 - 90?


  1. 28500
  2. 4400
  3. 4200
  4. 42000

Ans.d


Q.The growth rate in students of Govt. Engg. Colleges compared to that of Private Engg. Colleges between 1988 - 89 and 1989 - 90 is


  1. more
  2. less
  3. equal
  4. 3/2

Ans.c


Q.The total number of Engg. Students in 1991 - 92, assuming a 10% reduction in the number over the previous year, is


  1. 5700
  2. 57000
  3. 44800
  4. none of these

Ans.d


Q.In 1990 - 91, what percent of Engg. Students were studying at IIT's?


  1. 16
  2. 15
  3. 14
  4. 12

Ans.c


Data interpretation questions


The primitive tribes - folk of the island of Lexicophobos have recently developed a language for themselves.
Which has a very limited vocabulary. In fact, the words can be classified into only three types :
the Bingoes, the Cingoes and the Dingoes.
The Bingoes type of words are : Grumbs, Harrumphs, Ihavitoo
The Cingoes type of words are : Ihavitoo, Jingongo, Koolodo
The Dingoes type of words are : Lovitoo, Metoo, Nana
They have also devised some rules of grammar:
Every sentence must have only five words.
Every sentence must have two Bingoes, one Cingo and two Dingoes.
If Grumbs is used in a sentence, Ihavitoo must also be used and vice versa.
Koolodo can be used in a sentence only if Lovitoo is used


Q.Which choice of words in a sentence is not possible, if no rules of grammar are to be violated?


  1. Grumbs and Harrumphs as the Bingoes and Ihavitoo as the Cingo
  2. Harrumphs and Ihavitoo as the Bingoes.
  3. Grumbs and Ihavitoo as the Bingoes and Lovitoo and Nana as the Dingoes.
  4. Metoo and Nana as the Dingoes.

Ans.b


Q.If Grumbs and Harrumphs are the Bingoes in a sentence, and no rule of grammar is violated, which of the following is / are true?
I. Ihavitoo is the Cingo.
II. Lovitoo is the Dingo.
III. Either Lovitoo or Metoo must be one of - or both - the Dingoes.


  1. I only
  2. II only
  3. III only
  4. I & III only

Ans.d


Q.Which of the following is a possible sentence if no grammar rule is violated?


  1. Grumbs harrumphs ihavitoo lovitoo metoo.
  2. Grumbs harrumphs ihavitoo jingongo lovitoo.
  3. Harrumphs ihavitoo jingongo lovitoo metoo.
  4. Grumbs ihavitoo koolodo metoo nana

Ans.a


Q.If in a sentence Grumps is the Bingo and no rule of grammar is violated, which of the following cannot be true?


  1. Harrumphs must be a Bingo
  2. Ihavitoo must be a Bingo
  3. Lovitoo may be used
  4. All three Bingoes are used.

Ans.b


Data interpretation questions


Bankatlal works x hours a day and rests y hours a day. This pattern continues for 1 week, with an exactly opposite pattern next week, and so on for four weeks. Every fifth week he has a different pattern.
When he works longer than he rests, his wage per hour is twice what he earns per hour when he rests longer than he works.
The following are his daily working hours for the weeks numbered 1 to 13.A week consists of six days and a month consists of 4 weeks.

Data interpretation questions

Q.If Bankatlal is paid Rs. 20 per working hour in the 1 st week. What is his salary for the 1 month?


  1. Rs.1760
  2. Rs.1440
  3. Rs.1320
  4. Rs.1680

Ans.b


Q.Referring to the data given in Q.187, Bankatlal's average monthly salary at the end of the first four months will be


  1. Rs.1780
  2. Rs.2040
  3. Rs.1830
  4. Rs.1680

Ans.c


Q.The new manager Khushaldas stipulated that Rs.5 be deducted for every hour of rest and Rs. 25 be paid per hour starting 9 th week, then what will be the change in Bankatlal's salary for the 3 month? (Hourly deductions are constant for all weeks starting 9 week)


  1. Rs.540
  2. Rs.480
  3. Rs.240
  4. Rs.120

Ans.d


Q.Using the data in the previous questions, what will be the total earning of Bankatlal at the end of sixteen weeks.


  1. Rs.7320
  2. Rs.7800
  3. Rs.8400
  4. Rs.9600

Ans.d


Data interpretations


Data interpretations

Q.The average revenue collected in the given 7 years is approximately


  1. Rs. 164 lakh

  2. Rs. 168 lakh

  3. Rs. 171 lakh

  4. Rs. 175 lakh


Ans.b


Q.The expenditure for the 7 years together form what per cent of the revenues during the same period?


  1. 75%

  2. 67%

  3. 62%

  4. 83%


Ans.a


Q.Which year showed the greatest percentage increase in profit as compared to the previous year?


  1. 1993

  2. 1994

  3. 1990

  4. 1992


Ans.d


Q.In which year was the growth in expenditure maximum as compared to the previous year?


  1. 1993

  2. 1995

  3. 1991

  4. 1992


Ans.d


Q.If the profit in 1996 shows the annual rate of growth as it had shown in 1995 over the previous year, then what approximately will be the profit in 1996?


  1. Rs. 72 lakh

  2. Rs. 82 lakh

  3. Rs. 93 lakh

  4. Rs. 78 lakh


Ans.b


Data interpretations


Data interpretations

Q.What is the maximum production capacity (in '000 tonnes) of Lipton for coffee?


  1. 2.53

  2. 2.85

  3. 2.24

  4. 2.07


Ans.a


Q.Which company out of the four companies mentioned above has the maximum unutilised capacity (in '000 tonnes)?


  1. Lipton

  2. Nestle

  3. Brooke Bond

  4. MAC


Ans.d


Q.What is the approximate total production capacity (in '000 tonnes) for coffee in India?


  1. 18

  2. 20

  3. 18.7

  4. Data insufficient


Ans.c


Q.The highest price for coffee per kilogram is for


  1. Nestle

  2. MAC

  3. Lipton

  4. Data insufficient


Ans.d


Q.What percent of the total market share (by sales value) is controlled by 'others'?


  1. 60%

  2. 32%

  3. 67%

  4. Insufficient data


Ans.b


Data interpretations


Data interpretations

Q.Due to overrun in 'design’, the design stage took 3 months, i.e. months 3, 4 and 5. The number of people working on design in the fifth month was 5. Calculate the percentage change in the cost incurred in the fifth month. (Due to improvement in 'coding’ technique, this stage was completed in months 6-8 only.)


  1. 225%

  2. 150%

  3. 275%

  4. 240%


Ans.b


Q.With reference to the above question, what is the cost incurred in the new 'coding' stage? (Under the new technique, 4 people work in the sixth month and 5 in the eighth.)


  1. Rs. 1,40,000

  2. Rs. 1,50,000

  3. Rs. 1,60,000

  4. Rs. 1,70,000


Ans.a


Q.What is the difference in cost between the old and the new techniques?


  1. Rs. 30,000

  2. Rs. 60,000

  3. Rs. 70,000

  4. Rs. 40,000


Ans.b


Q.Under the new technique, which stage of software development is most expensive for Mulayam Software Co.?


  1. Testing

  2. Specification

  3. Coding

  4. Design


Ans.d


Q.Which five consecutive months have the lowest average cost per man-month under the new technique?


  1. 1-5

  2. 9-13

  3. 11-15

  4. None of these


Ans.c


Data interpretations


Data interpretations

Q.By what per cent was the total investment in the two districts more in 1996 as compared to 1995?


  1. 14%

  2. 21%

  3. 24%

  4. 18%


Ans.d


Q.The investment in electricity and thermal energy in 1995 in these two districts formed what per cent of the total investment made in that year?


  1. 41%

  2. 47%

  3. 52%

  4. 55%


Ans.b


Q.In Khammam district, the investment in which area in 1996 showed the highest percentage increase over the investment in that area in 1995?


  1. Electricity

  2. Chemical

  3. Solar

  4. Nuclear


Ans.b


Q.Approximately how many times was the total investment in Chittoor to the total investment in Khammam?


  1. 2.8

  2. 2

  3. 2.4

  4. 1.7


Ans.c


Q.If the total investment in Khammam shows the same rate of increase in 1997, as it had shown from 1995 to 1996, what approximately would be the total investment in Khammam in 1997?


  1. Rs. 9,850 crore

  2. Rs. 10,020 crore

  3. Rs. 9,170 crore

  4. Rs. 8,540 crore


Ans.a


Data interpretations


Data interpretations

Q.Which month records the highest profit?


  1. September

  2. July

  3. March

  4. May


Ans.a


Q.In which month is the total increase in the cost highest as compared to two months ago?


  1. March

  2. September

  3. July

  4. May


Ans.d


Q.In which month is the percentage increase in sales two months before, the highest?


  1. March

  2. September

  3. July

  4. May


Ans.d


Q.Which month has the highest profit per employee?


  1. September

  2. July

  3. January

  4. March


Ans.d


Q.Assuming that no employees left the job, how many more people did the company take on in the given period?


  1. 4,600

  2. 5,000

  3. 5,800

  4. 6,400


Ans.b


Data interpretations


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.

Data interpretations

Q.The number of students who get jobs in finance is less than the students getting marketing jobs, in the 5 years, by


  1. 826

  2. 650

  3. 750

  4. 548


Ans.c


Q.What is the percentage increase in the average salary of finance from 1992 to 1996?


  1. 60%

  2. 32%

  3. 96%

  4. 80%


Ans.d


Q.The average annual rate at which the initial salary offered in software increases is


  1. 21%

  2. 33%

  3. 15.9%

  4. 65%


Ans.c


Q.What is the average monthly salary offered to a management graduate in 1993?


  1. Rs. 6,403

  2. Rs. 6,330

  3. Rs. 6,333

  4. Cannot be determined


Ans.d


Q.In 1994, students seeking jobs in finance earned ___ more than those opting for software (per annum).


  1. Rs. 43 lakh

  2. Rs. 33.8 lakh

  3. Rs. 28.4 lakh

  4. Rs. 38.8 lakh


Ans.b


Data interpretation


data interpretation

Q.Which of the following had the least cost per room


  1. Lokhandwala Group

  2. Raheja Group

  3. IHCL

  4. ITC


Ans.a


Q.Which of the following has the maximum number of rooms per crore of rupees?


  1. IHCL

  2. Raheja Group

  3. Lokhandwala Group

  4. ITC


Ans.c


Additional direction for below questions: Assume that the cost of the project is incurred in the year of completion; interest is charged at the rate of 10% per annum.


Q.What is the cost incurred for projects completed in 1998?


  1. Rs. 475 crore

  2. Rs. 500 crore

  3. Rs. 522.5 crore

  4. Rs. 502.5 crore


Ans.c


Q.What is the cost incurred for projects completed in 1999?


  1. Rs. 1,282.6 crore

  2. Rs. 1,270 crore

  3. Rs. 1,805.1 crore

  4. Rs. 1,535 crore


Ans.a


Q.What is the approximate cost incurred for projects completed by 2000?


  1. Rs. 1,785

  2. Rs. 2,140

  3. Rs. 2,320

  4. None of these


Ans.b


Read and Answer


data interpretation

Q.When was the per capita production of milk least?


  1. 1990

  2. 1992

  3. 1994

  4. 1996


Ans.a


Q.When was the per capita production of foodgrains most?


  1. 1992

  2. 1993

  3. 1994

  4. 1995


Ans.d


Q.In which year was the difference between the percentage increase in the production of foodgrains and milk maximum?


  1. 1993

  2. 1994

  3. 1995

  4. 1996


Ans.c


Q.If milk contains 320 calories and foodgrains contain 160 calories, in which year was the per capita consumption of calories highest?


  1. 1993

  2. 1994

  3. 1995

  4. 1996


Ans.c


Q.If one gallon milk contains 120 g of a particular nutrient and one tonne of foodgrains contains 80 g of the same nutrient, in which year was the availability of this nutrient maximum?


  1. 1993

  2. 1994

  3. 1995

  4. 1996


Ans.c


Q.Referring to the above question, in which year was the per capita consumption of this nutrient highest?


  1. 1993

  2. 1994

  3. 1995

  4. 1996


Ans.c


Data interpretation


data interpretation

Q.In which year was the increase in raw material maximum?


  1. 1992

  2. 1993

  3. 1994

  4. 1995


Ans.b


Q.In which period was the change in profit maximum?


  1. 1991-92

  2. 1992-93

  3. 1993-94

  4. 1994-95


Ans.c


Q.Which component of the cost production has remained more or less constant over the period?


  1. Interest

  2. Overheads

  3. Wages

  4. Raw material


Ans.a


Q.In which year were the overheads, as a percentage of the raw material, maximum?


  1. 1995

  2. 1994

  3. 1992

  4. 1993


Ans.c


Q.What percentage of the costs did the profits form over the period?


  1. 3%

  2. 5%

  3. 8%

  4. 11%


Ans.b


Q.If the interest component is not included in the total cost calculation, which year would show the maximum profit per unit cost?


  1. 1991

  2. 1992

  3. 1993

  4. 1995


Ans.b


Data interpretation


data interpretation

The following table gives the tariff [in paise per kilo-watt-hour (kWh)] levied by the UPSEB in 1994-95, in four sectors and the regions within them. The table also gives the percentage change in the tariff as compared to 1991-92.


Q.If the amount of power consumed by the various regions in sector 1 is the same, then as compared to 1991-92 the net tariff in 1994-95


  1. increased by 6.5%

  2. decreased by 3.5%

  3. increased by 10.2%

  4. decreased by 7.3%


Ans.a


Q.What was the approximate average tariff in region 3 in 1991-92?


  1. 407

  2. 420

  3. 429

  4. None of these


Ans.b


Additional direction for next questions: The UPSEB supplies power under four categories: urban (25%), domestic (20%), industrial (40%) and rural (15%). In 1994-95, the total power produced by the UPSEB was, 7875 megawatts.


Q.In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?


  1. 1,312 megawatts

  2. 1,422 megawatts

  3. 1,750 megawatts

  4. None of these


Ans.a


Q.In the given 2 years, what is the total tariff paid by the urban sector?


  1. Rs. 22.4 lakh

  2. Rs. 21.6 lakh

  3. Rs. 27.2 lakh

  4. Cannot be determined


Ans.d


Q.Which of the following statements is true?


  1. The average tariff in region 4 is 437.5 p/kWh

  2. The average tariff in region 2 is greater than the average tariff in region 5

  3. In 1991-92, the industrial sector contributed to about 42% of the total revenue from power

  4. None of these


Ans.b


Data interpretation


data interpretation

The table given below gives the annual details of loans from rural banks and agricultural loans over the years 1970 to 1983. Using this data answer the questions that follow.


Q.In 1974, the amount of agricultural loans formed what percentage of the total loans?


  1. 85%

  2. 71%

  3. 77%

  4. Cannot be determined


Ans.a


Q.From the given data, the number of rural loans up to 1980 formed approximately what percentage of those in 1983?


  1. 112%

  2. 80%

  3. 97%

  4. Cannot be determined


Ans.b


Q.Which of the following pairs of years showed the maximum increase in the number of rural bank loans?


  1. 1971-72

  2. 1974-75

  3. 1970-71

  4. 1980-81


Ans.d


Q.What is the value of the agricultural loans in 1983 at 1970 prices?


  1. Rs.326

  2. Rs.264

  3. Rs.305

  4. None of these


Ans.b


Q.In which year was the number of rural bank loans per rural bank least?


  1. 1974

  2. 1971

  3. 1970

  4. 1975


Ans.c


Q.What is the simple annual rate of increase in the number of agricultural loans from 1970 to 1983?


  1. 132%

  2. 81%

  3. 75%

  4. 1056%


Ans.b


Additional direction for next questions : If the consumer price index for 1970 is to be taken as 105 and the indices for the subsequent years are to be corrected accordingly, then answer next questions.


Q.By roughly how many points do the indices for 1983 and 1975 differ?


  1. 174

  2. 180

  3. 188

  4. 195


Ans.a


Q.What is the value of the loans in 1980 at 1983 prices?


  1. Rs.570 million

  2. Rs.680 million

  3. Rs.525 million

  4. Rs.440 million


Ans.b



Data interpretation


data interpretation

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.


Q. What was the maximum percentage of apples supplied by any state in any of the months?


  1. 99

  2. 95

  3. 88

  4. 100


Ans . a


Q. Which state supplied the maximum number of apples?


  1. UP

  2. HP

  3. J & K

  4. Cold storage


Ans . c


Q. Which state supplied the highest percentage of apples from the total apples supplied?


  1. HP

  2. UP

  3. J & K

  4. Cannot be determined


Ans . c


Q. In which of the following periods was the supply greater than the demand?


  1. August-March

  2. June-October

  3. May-September

  4. Cannot be determined


Ans . c


Q. If the yield per tree was 40 kg, then from how many trees were the apples supplied to New Delhi (in millions) during the year?


  1. 11.5

  2. 12.5

  3. 13.5

  4. Cannot be determined


Ans . b


Q. Using the data in question 150, if there were 250 trees per hectare, then how many hectares of land was used?


  1. 9,400 hectares

  2. 49,900 hectares

  3. 50,000 hectares

  4. 49,450 hectares


Ans . d



Data interpretation


data interpretation

The following bar chart gives the growth percentage in the number of households in middle, upper-middle and high income categories in the four regions for the period between 1987-88 and 1994-95.


Q. Which region showed the highest growth in number of households in all the income categories for the period?


  1. North

  2. South

  3. West

  4. None of these


Ans . B


Q. What was the total household income in northern region for upper-middle class?


  1. Rs. 50 lakh

  2. Rs. 500 million

  3. Rs. 300 million

  4. Cannot be determined


Ans . D


Q. What is the percentage increase in total number of households for the northern region (upper-middle) over the given period?


  1. 100%

  2. 200%

  3. 240%

  4. Cannot be determined


Ans . B


Q. What was the average income of the high-income group in 1987-88?


  1. Rs. 75,000

  2. Rs. 25,000

  3. Rs. 2,25,000

  4. Cannot be determined


Ans . A


The numbers of households in each category were equally distributed in all the regions


Q. The ratio of total income for the high-income category to the upper-middle class increased by how much percentage in the given period


  1. 20%

  2. 36%

  3. 25%

  4. Cannot be determined


Ans . B


Q. The average income for the northern region in 1987-88 was


  1. Rs. 37,727

  2. Rs. 37,277

  3. Rs. 35,000

  4. Cannot be determined


Ans . A


Data interpretation


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.


Q. What was the total output of coconuts?


  1. 24,000

  2. 36,000

  3. 18,000

  4. 48,000


Ans . B


Q. What was the value of output per acre of lemon trees planted?


  1. 0.24 lakh per acre

  2. 2.4 lakh per acre

  3. 24 lakh per acre

  4. Cannot be determined


Ans . A


Q. What was the amount received by Gopal in 1997?


  1. Rs. 1.5 lakh

  2. Rs. 3 lakh

  3. Rs. 6 lakh

  4. None of these


Ans . A


Q. What was the value of output per tree for coconuts?


  1. Rs. 36

  2. Rs. 360

  3. Rs. 3,600

  4. Rs. 240


Ans . B


Q. What was the ratio of yields per acre of land for coconuts and lemons (in terms of number of lemons and coconuts)?


  1. 3 : 2

  2. 2 : 3

  3. 1 : 1

  4. Cannot be determined


Ans . D



Data interpretation


data interpretation

Ghosh Babu has a manufacturing unit. The following graph gives the cost for various number of units. Given: Profit = Revenue – Variable cost – Fixed cost. The fixed cost remains constant up to 34 units after which additional investment is to be done in fixed assets. In any case, production cannot exceed 50 units.


Q. What is the minimum number of units that need to be produced to make sure that there was no loss?


  1. 5

  2. 12

  3. 20

  4. cant say


Ans . B


Q. How many units should be manufactured such that the profit was at least Rs. 50?


  1. 20

  2. 34

  3. 45

  4. 30


Ans . A


Q. If at the most 40 units can be manufactured, then what is the number of units that can be manufactured to maximise profit per unit?


  1. 40

  2. 34

  3. 35

  4. 25


Ans . B


Q. If the production cannot exceed 45 units, then what is the number of units that can maximise profit per unit?


  1. 40

  2. 34

  3. 45

  4. 35


Ans . B


Q. If the fixed cost of production goes up by Rs. 40, then what is the minimum number of units that need to be manufactured to make sure that there is no loss?


  1. 10

  2. 19

  3. 15

  4. 20


Ans . B



Data interpretation


data interpretation

Q. What is the maximum percentage increase in price per cubic metre or per tonne over the previous year?


  1. 33.33%

  2. 85%

  3. 50%

  4. cannot be determined


Ans . C


Q. Which product shows the maximum percentage increase in price over the period?


  1. Saw timber

  2. Plywood

  3. Logs

  4. Cannot be determined


Ans . B


Q. If 1 m3 = 750 kg for saw timber, find in which year was the difference in prices of saw timber and logs the least?


  1. 1989

  2. 1990

  3. 1991

  4. 1992


Ans . B


Q. If one cubic metre = 700 kg for plywood and 800 kg for saw timber, find in which year was the difference in the prices of plywood and saw timber (per cubic metre) the maximum?


  1. 1989

  2. 1990

  3. 1991

  4. 1992


Ans . D


Q. f the volume sales of plywood, saw timber and logs were 40%, 30% and 30% respectively, then what was the average realisation in 1993 per cubic metre of sales? (Weight of one cubic metre of saw dust and plywood both = 800 kg)


  1. 18

  2. 15

  3. 16

  4. 13


Ans . D


Q. In the previous question, if in 1994, prices increased by 5%, 1% and 10% while the volume sales break-up was 40%, 30% and 30% for plywood, saw timber and logs respectively, then what was the average realisation?


  1. 18.95

  2. 16.45

  3. 13.15

  4. 10.25


Ans . C


Data Interpretation


data interpretation

Q. The total annual exports lies between 35 and 40% to the total annual business of the IT industry, in


  1. 1997-98 and 1994-95

  2. 1996-97 and 1997-98

  3. 1996-97 and 1998-99

  4. 1996-97 and 1994-95


Ans . B



Q. The highest percentage growth in the total IT business, relative to the previous year was achieved in


  1. 1995-96

  2. 1996-97

  3. 1997-98

  4. 1998-99


Ans . A



Q. Which one of the following statements is correct?


  1. The annual software exports steadily increased but annual hardware exports steadily declined during 1994-99.

  2. The annual peripheral exports steadily increased during 1994-99.

  3. The IT business in training during 1994-99 was higher than the total IT business in maintenance during the same period.

  4. None of the above


Ans . C


Additional directions for next questions:
For any activity, A, year X dominates year Y if the IT business in activity A, in the year X is greater than the IT business in activity A in the year Y. For any two IT business activities, A and B, year X dominates year Y if
I. the IT business in activity A, in the year X, is greater than or equal to the IT business in activity A in the year Y,
II. the IT business in activity B, in the year X, is greater than or equal to the IT business in activity B in the year Y and
III. there should be strict inequality in the case of at least one activity.


Q. For the IT hardware business activity, which one of the following is not true?


  1. 1997-98 dominates 1996-97

  2. 1997-98 dominates 1995-96

  3. 1995-96 dominates 1998-99

  4. 1998-99 dominates 1996-97


Ans . D



Q. For the two IT business activities, hardware and peripherals, which one of the following is true?


  1. 1996-97 dominates 1995-96

  2. 1998-99 dominates 1995-96

  3. 1997-98 dominates 1998-99

  4. None of these


Ans . D


Data interpretation


data interpretation

Q. Suppose the average employment level is 60 per factory. The average employment in ‘wholly private’ factories is approximately


  1. 43

  2. 47

  3. 50

  4. 54


Ans . A



Q. Among the firms in different sectors, value added per employee is highest in


  1. Central Government

  2. Central and States or Local Governments

  3. Joint sector

  4. Wholly private


Ans . B



Q. Capital productivity is defined as the gross output value per rupee of fixed capital. The three sectors with the higher capital productivity, arranged in descending order are


  1. Joint, Wholly private, Central and States or Local Governments

  2. Wholly private, Joint, Central and States or Local Governments

  3. Wholly private, Central and States or Local Governments, Joint

  4. Joint, Wholly private, Central


Ans . B



Q. A sector is considered ‘pareto efficient’ if its value added per employee and its value added per rupee of fixed capital is higher than those of all other sectors. Based on the table data, the pareto efficient sector is


  1. Wholly private

  2. Joint

  3. Central and State or Local

  4. Others


Ans . C



Q. The total value added in all sectors is estimated at Rs. 1,40,000 crore. Suppose the number of firms in the joint sector is 2,700. The average value added per factory, in the Central Government is


  1. Rs. 141 crore

  2. Rs. 14.1 crore

  3. Rs. 131 crore

  4. Rs. 13.1 crore


Ans . D


Data interpretation


data interpretation

FEI for a country in a year, is the ratio (expressed as a percentage) of its foreign equity inflows to its GDP. The following figure displays the FEIs for select Asian countries for 1997 and 1998.


Q. The country with the highest percentage change in FEI in 1998 relative to its FEI in 1997, is


  1. India

  2. China

  3. Malaysia

  4. Thailand


Ans . A


Q. Based on the data provided, it can be concluded that


  1. absolute value of foreign equity inflows in 1998 was higher than that in 1997 for both Thailand and South Korea.

  2. absolute value of foreign equity inflows was higher in 1998 for Thailand and lower for China than the corresponding values in 1997.

  3. absolute value of foreign equity inflows was lower in 1998 for both India and China than the corresponding values in 1997.

  4. None of the above can be inferred


Ans . D


Q. It is known that China’s GDP in 1998 was 7% higher than its value in 1997, while India’s GDP grew by 2% during the same period. The GDP of South Korea, on the other hand, fell by 5%. Which of the following statements is/are true?
I. Foreign equity inflows to China were higher in 1998 than in 1997.
II. Foreign equity inflows to China were lower in 1998 than in 1997.
III. Foreign equity inflows to India were higher in 1998 than in 1997.
IV. Foreign equity inflows to South Korea decreased in 1998 relative to 1997.
V. Foreign equity inflows to South Korea increased in 1998 relative to 1997.


  1. I, III and IV

  2. II, III and IV

  3. I, III and V

  4. II and v


Ans . D


Q. China’s foreign equity inflows in 1998 were 10 times that of India. It can be concluded that


  1. China’s GDP in 1998 was 40% higher than that of India

  2. China’s GDP in 1998 was 70% higher than that of India

  3. China’s GDP in 1998 was 50% higher than that of India

  4. no inference can be drawn about relative magnitudes of China’s and India’s GDPs


Ans . C


Data interpretation


data interpretation

The table shows trends in external transactions of Indian corporate sector during the period 1993-94 to 1997-98. In addition, following definitions hold good:
Sales i , Imports i , and Exportsi respectively denote the sales, imports and exports in year i.
Deficit for year i, Deficiti = Imports i - Exportsi
deficit intensity in year i, DIi = Deficiti / Sales i
Growth rate of deficit intensity in year i, GDIi = (DIi - DIi - 1) / DIi - 1
Further, note that all imports are classified as either raw material or capital goods.


Q. The highest growth rate in deficit intensity was recorded in


  1. 1994-95

  2. 1995-96

  3. 1996-97

  4. 1997-98


Ans . A


Q. The value of the highest growth rate in deficit intensity is approximately


  1. 8.45%

  2. 2.15%

  3. 33.3%

  4. 23.5%


Ans . D


Q. In 1997-98 the total cost of raw material is estimated as 50% of sales of that year. The turnover of gross fixed assets, defined as the ratio of sales to gross fixed assets, in 1997-98 is, approximately


  1. 3.3

  2. 4.3

  3. 0.33

  4. Not possible to determine


Ans . B


Q. Which of the following statements can be inferred to be true from the given data?


  1. During the 5-year period between 1993-94 and 1997-98 exports have increased every year.

  2. During the 5-year period 1993-94 and 1997-98, imports have decreased every year

  3. Deficit in 1997-98 was lower than that in 1993-94.

  4. Deficit intensity has increased every year between 1993-94 and 1996-97


Ans . D


Data interpretation


The figures below present annual growth rate, expressed as the percentage 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% and 15% of total industrial production in 1989.

data interpretation

Q. Which is the sector with the highest growth during the period 1989 to 1998?


  1. Manufacturing

  2. Mining and quarrying

  3. Electricity

  4. Chemical


Ans . C


Q. The overall growth rate in 1991 of the four sectors together is approximately


  1. 10%

  2. 1%

  3. 2.5%

  4. 1.5%


Ans . D


Q. When was the highest level of production in the manufacturing sector achieved during the 9-year period 1990-98?


  1. 1998

  2. 1995

  3. 1990

  4. Cannot be determined


Ans . A


Q. When was the lowest level of production of the mining and quarrying sector achieved during the 9-year period 1990-98?


  1. 1996

  2. 1993

  3. 1990

  4. Cannot be determined


Ans . B


Q. The percentage increase of production in the four sectors, namely, manufacturing, mining and quarrying, electricity and chemicals, taken together in 1994, relative to 1989 is approximately


  1. 25%

  2. 20%

  3. 50%

  4. 40%


Ans . A


Q. It is known that the index of total industrial production in 1994 was 50% more than that in 1989. Then, the percentage increase in production between 1989 and 1994 in sectors other than the four listed above is


  1. 57.5%

  2. 87.5%

  3. 127.5%

  4. 47.5%


Ans . B


Data interpretation


ABC Ltd. produces widgets for which the demand is unlimited and they can sell all of their production. The graph below describes the monthly variable costs incurred by the company as a function of the quantity produced. In addition, operating the plant for the first shift results in a fixed monthly cost of Rs. 800. Fixed monthly costs for second shift operation is estimated at Rs. 1,200. Each shift operation provides capacity for producing 30 widgets per month.

data interpretation

Note: Average unit cost, AC = $ \frac{Total monthly costs}{Monthly production}$ and marginal cost, MC is the rate of change in total cost for unit change in quantity produced.


Q. Total production in July is 40 units. What is the approximate average unit cost for July?


  1. 3,600

  2. 90

  3. 140

  4. 115


Ans . C


Q. ABC Ltd. is considering increasing the production level. What is the approximate marginal cost of increasing production from its July level of 40 units?


  1. 110

  2. 130

  3. 150

  4. 160


Ans . B


Q. From the data provided it can be inferred that, for production levels in the range of 0 to 60 units,


  1. MC is an increasing function of production quantity.

  2. MC is a decreasing function of production quantity.

  3. initially MC is a decreasing function of production quantity, attains a minimum and then it is an increasing function of production quantity.

  4. None of the above


Ans . A


Q. Suppose that each widget sells for Rs. 150. What is the profit earned by ABC Ltd. in July? (Profit is defined as the excess of sales revenue over total cost.


  1. 2,400

  2. 1,600

  3. 400

  4. 0


Ans . C


Q. Assume that the unit price is Rs. 150 and profit is defined as the excess of sales revenue over total costs. What is the monthly production level of ABC Ltd. at which the profit is highest?


  1. 30

  2. 50

  3. 60

  4. 40


Ans . A


Q. For monthly production level in the range of 0 to 30 units,


  1. AC is always higher than MC.

  2. AC is always lower than MC

  3. AC is lower than MC up to a certain level and then is higher than MC

  4. None of the above.


Ans . A


Data interpretation


The following table provides data on the different countries and location of their capitals. (the data may not match the actual Latitude, Longitudes) Answer the following questions on the basis of this table

data interpretation for CAT

Q. What percentage of cities located within 10 E ° and 40 E ° (20° East and 40° East) lie in the Southern Hemisphere?


  1. 15%

  2. 20%

  3. 25%

  4. 30%


Ans . B


Q. The number of cities whose names begin with a consonant and are in the Northern Hemisphere in the table


  1. exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 1.

  2. exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 2.

  3. is less than the number of cities whose names begin with a consonant and are in the east of the meridian by 1.

  4. is less than the number of countries whose name begins with a consonant and are in the east of the meridian by 3


Ans . D


Q. The ratio of the number of countries whose name starts with vowels and located in the southern hemisphere, to the number of countries, the name of whose capital cities starts with a vowel in the table above is


  1. 3 : 2

  2. 3 : 3

  3. 3 : 1

  4. 4 : 3


Ans . A


Each item is followed by two statements, A and B. Answer each question using the following instructions.

Choose (1) if the question can be answered by one of the statements alone but not by the other.
Choose (2) if the question can be answered by using either statement alone.
Choose (3) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose (4) if the question cannot be answered even by using both statements together.

Q. In a hockey match, the Indian team was behind by 2 goals with 5 min remaining. Did they win the match?
A. Deepak Thakur, the Indian striker, scored 3 goals in the last 5 min of the match.
B. Korea scored a total of 3 goals in the match.


  1. A

  2. B

  3. C

  4. D


Ans . D


Q. Four students were added to a dance class. Would the teacher be able to divide her students evenly into a dance team (or teams) of 8?
A. If 12 students were added, the teacher could put everyone in teams of 8 without any leftovers.
B. The number of students in the class is currently not divisible by 8


  1. A

  2. B

  3. C

  4. D


Ans . A


Q. Is x = y?
A. x + y (1/x + 1/y) = 4
B. (x-50)2 = (y-50)2


  1. A

  2. B

  3. C

  4. D


Ans . A


Q. A dress was initially listed at a price that would have given the store a profit of 20% of the wholesale cost. What was the wholesale cost of the dress?
A. After reducing the listed price by 10%, the dress sold for a net profit of $10.
B. The dress is sold for $50.


  1. A

  2. B

  3. C

  4. D


Ans . A


Q. Is 500 the average (arithmetic mean) score in the GMAT?
A. Half of the people who take the GMAT score above 500 and half of the people score below 500.
B. The highest GMAT score is 800 and the lowest score is 200.


  1. A

  2. B

  3. C

  4. D


Ans . D


Q. Is |x - 2| < 1?
A. |x| < 1
B. |x - 1| < 2


  1. A

  2. B

  3. C

  4. D


Ans . B


Q. People in a club either speak French or Russian or both. Find the number of people in a club who speak only French.
A. There are 300 people in the club and the number of people who speak both French and Russian is 196.
B. The number of people who speak only Russian is 58.


  1. A

  2. B

  3. C

  4. D


Ans . C


Q. A sum of Rs. 38,500 was divided among Jagdish, Punit and Girish. Who received the minimum amount?
A. Jagdish received 2/9 of what Punit and Girish received together.
B. Punit received 3/11 of what Jagdish and Girish received together.


  1. A

  2. B

  3. C

  4. D


Ans . C


Read and Answer


The following table gives details regarding the total earnings of 15 employees and the number of days they have worked on complex, medium and simple operation in the month of June 2002. Even though the employees might have worked on an operation, they would be eligible for earnings only if they have minimum level of efficiency.

data interpretation for CAT

Q. The number of employees who have earned more than Rs. 50 per day in complex operations is


  1. 4

  2. 3

  3. 5

  4. 6


Ans . C


Q. The number of employees who have earned more than Rs. 600 and having more than 80% attendance (there are 25 regular working days in June 2002; some might be coming on overtime too) is


  1. 4

  2. 5

  3. 6

  4. 7


Ans . D


Q. The employee number of the person who has earned the maximum earnings per day in medium operation is


  1. 2001180

  2. 2001164

  3. 2001172

  4. 2001179


Ans . A


Q. Among the employees who were engaged in complex and medium operations, the number of employees whose average earning per day in complex operations is more than average earning per day in medium operations is


  1. 2

  2. 3

  3. 5

  4. 7


Ans . C


Read and Answer

data interpretation for cat

The following table shows the revenue and expenses in millions of Euros (European currency) associated with REPSOL YPF company’s oil and gas producing activities in operations in different parts of the world for 1998-2000.


Q. How many operations (Spain, North Africa and Middle East,..) of the company accounted for less than 5% of the total revenue earned in 1999?


  1. 2

  2. 3

  3. 4

  4. none


Ans . C


Q. How many operations (Spain, North Africa and Middle East…) of the company witnessed more than 200% revenue from 1999 to 2000?


  1. 1

  2. 2

  3. 3

  4. none


Ans . B


Q. How many operations registered a sustained yearly increase in income before taxes and charges from 1998 to 2000?


  1. 3

  2. 4

  3. 5

  4. none


Ans . B


Q. Ignoring the loss making operations of the company in 1998, for how many operations was the percentage increase in net income before taxes and charges higher than the average from 1998 to 1999


  1. 0

  2. 1

  3. 2

  4. none


Ans . B


Q. If profitability is defined as the ratio of net income after taxes and charges to expense, which of the following statements is true?


  1. The Far East operations witnessed its highest profitability in 1998.

  2. The North Sea operations increased its profitability from 1998 to 1999.

  3. The operations in Argentina witnessed a decrease in profitability from 1998 to 1999.

  4. Both (2) and (3) are true.


Ans . B


Q. In 2000, which among the following countries had the best profitability?


  1. North Africa and Middle East

  2. Spain

  3. Rest of Latin America

  4. Far East


Ans . B


Q. If efficiency is defined as the ratio of revenue to expenses, which operation was the least efficient in 2000?


  1. Spain

  2. Argentina

  3. Far East

  4. None of these


Ans . D


Q. Of the following statements, which one is not true?


  1. The operations in Spain had the best efficiency in 2000

  2. The Far East operations witnessed an efficiency improvement from 1999 to 2000

  3. The North Sea operations witnessed an efficiency improvement from 1998 to 1999

  4. In 1998, the operations in Rest of Latin America were the least efficient


Ans . D


Read and Answer

data interpretation for cat

Chart 1 shows the distribution by value of top 6 suppliers of MFA Textiles in 1995. Chart 2 shows the distribution by quantity of top 6 suppliers of MFA Textiles in 1995. The total value is 5760 million Euro (European currency). The total quantity is 1.055 million tonnes.


Q. The country which has the highest average price is


  1. USA

  2. Switzerland

  3. Turkey

  4. India


Ans . B


Q. The average price in Euro per kilogram for Turkey is roughly


  1. 6.20

  2. 5.60

  3. 4.20

  4. 4.80


Ans . B


Read and Answer

data interpretation for cat

There are 6 refineries, 7 depots and 9 districts. The refineries are BB, BC, BD, BE, BF and BG. The depots are AA, AB, AC, AD, AE, AF and AG. The districts are AAA, AAB, AAC, AAD, AAE, AAF, AAG, AAH, and AAI. Table A gives the cost of transporting one unit from refinery to depot. Table B gives the cost of transporting one unit from depot to a district.


Q. What is the least cost of sending one unit from any refinery to any district?


  1. 95.2

  2. 0

  3. 205.7

  4. 284.5


Ans . B


Q. What is the least cost of sending one unit from any refinery to the district AAB?


  1. 0

  2. 284.5

  3. 95.2

  4. None of these


Ans . C


Q. What is the least cost of sending one unit from refinery BB to any district?


  1. 284.5

  2. 311.1

  3. 451.1

  4. None of these


Ans . B


Q. What is the least cost of sending petrol from refinery BB to district AAA?


  1. 765.6

  2. 1137.3

  3. 1154.3

  4. None of these


Ans . A


Q. How many possible ways are there for sending petrol from any refinery to any district?


  1. 63

  2. 42

  3. 54

  4. 378


Ans . D


Q. The largest cost of sending petrol from any refinery to any district is


  1. 2172.6

  2. 2193.0

  3. 2091.0

  4. None of these


Ans . B


Read and Answer

data interpretation for cat

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.


Q. If for each year, the states are ranked in terms of the descending order of sales tax collections, how many states do not change the ranking more than once over the five years?


  1. 1

  2. 5

  3. 3

  4. 4


Ans . B


Q. Which 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?


  1. Andhra Pradesh

  2. Uttar Pradesh

  3. Karnataka

  4. Tamil Nadu


Ans . B


Q. The percentage share of sales tax revenue of which state has increased from 1997 to 2001?


  1. Tamil Nadu

  2. Karnataka

  3. Gujarat

  4. Andhra Pradesh


Ans . D


Q. Which pair of successive years shows the maximum growth rate of tax revenue in Maharashtra?


  1. 1997 to 1998

  2. 1998 to 1999

  3. 1999 to 2000

  4. 2000 to 2001


Ans . C


Q. Identify the state whose tax revenue increased exactly by the same amount in two successive pair of years


  1. Karnataka

  2. West Bengal

  3. Uttar Pradesh

  4. Tamil Nadu


Ans . A


Q. Which state below has been maintaining a constant rank over the years in terms of its contribution to total tax collections?


  1. Andhra Pradesh

  2. Karnataka

  3. Tamil Nadu

  4. Uttar Pradesh


Ans . C


Read and Answer

data interpretation for cat

The table below gives information about four different crops, their different quality, categories and the regions where they are cultivated. Based on the information given in the table answer the questions below.


Q. How many regions produce medium qualities of Crop-1 or Crop-2 and also produce low quality of Crop-3 or Crop-4?


  1. 0

  2. 1

  3. 2

  4. 3


Ans . B


Q. Which of the following statements is true?


  1. All medium quality Crop-2 producing regions are also high quality Crop-3 producing regions.

  2. All high quality Crop-1 producing regions are also medium and low Crop-4 producing regions

  3. There are exactly four Crop-3 producing regions, which also produce Crop-4 but not Crop-2

  4. Some Crop-3 producing regions produce Crop-1, but not high quality Crop-2.


Ans . D


Q. how many low quality Crop-1 producing regions are either high quality Crop-4 producing regions or medium quality Crop-3 producing regions?


  1. 1

  2. 2

  3. 3

  4. 0


Ans . C


Data interpretation


data interpretation CAT

A research agency collected the following data regarding the admission process of a reputed management school in India.
Choose A if only A is true
Choose B if only B is true
Choose C if both A and B are true
Choose D if neither A nor B is true


Q. Statement A: The success rate of moving from written test to interview stage for males was worse than for females in 2003.
Statement B: The success rate of moving from written test to interview stage for females was better in 2002 than in 2003.


  1. A

  2. B

  3. C

  4. D


Ans . D


Q. Statement A: In 2002, the number of females selected for the course as a proportion of the number of females who bought application forms, was higher than the corresponding proportion for males.
Statement B: In 2002, among those called for interview, males had a greater success rate than females.


  1. A

  2. B

  3. C

  4. D


Ans . D


Q. Statement A: The percentage of absentees in the written test among females decreased from 2002 to 2003.
Statement B: The percentage of absentees in the written test among males was larger than among females in 2003.


  1. A

  2. B

  3. C

  4. D


Ans . A


Data interpretation


The length of an infant is one of the measures of his/her development in the early stages of his/her life. The figure below shows the growth chart of four infants in the first five months of life.

data interpretation CAT

Q. After which month did Seeta's rate of growth start to decline?


  1. Second month

  2. Third month

  3. Fourth month

  4. Never


Ans . B


Q. Who grew at the fastest rate in the first two months of life?


  1. Geeta

  2. Seeta

  3. Ram

  4. Shyam


Ans . A


Q. The rate of growth during the third month was the lowest for


  1. Geeta

  2. Seeta

  3. Ram

  4. Shyam


Ans . A


Q. Among the four infants, who grew the least in the first five months of life?


  1. Geeta

  2. Seeta

  3. Ram

  4. Shyam


Ans . D


Data interpretation


The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children, and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

data interpretation CAT

Q. The percentage of respondents aged less than 40 years is at least


  1. 10%

  2. 16.67%

  3. 20.0%

  4. 30%


Ans . D


Q. Given the information above, the percentage of respondents older than 35 can be at most


  1. 30%

  2. 73.33%

  3. 76.67%

  4. 90%


Ans . C


Q. The percentage of respondents that fall into the 35 to 40 years age group (both inclusive) is at least


  1. 6.67%

  2. 10%

  3. 13.33%

  4. 26.67%


Ans . C


Data interpretation


Spam that enters our electronic mailboxes can be classified under several spam heads. The following table shows the distribution of such spam worldwide over time. The total number of spam emails received during December 2002 was larger than the number received in June 2003. The total number of spam emails received during September 2002 was larger than the number received in March 2003. The figures in the table represent the percentage of all spam emails received during that period, falling into those respective categories.

data interpretation CAT

Q. In which category was the percentage of spam emails increasing but at a decreasing rate?


  1. Financial

  2. Scams

  3. Products

  4. None of the above


Ans . C


Q. In the health category, the number of spam emails received in December 2002 as compared to June 2003


  1. was larger

  2. was smaller

  3. was equal

  4. cannot be determined


Ans . A


Q. In the financial category, the number of spam emails received in September 2002 as compared to March 2003.


  1. was larger

  2. was smaller

  3. was equal

  4. cannot be determined


Ans . D


Data interpretation


One of the functions of the Reserve Bank of India is to mobilize funds for the Government of India by issuing securities. The following table shows details of funds mobilized during the period July 2002 - July 2003. Notice that on each date there were two rounds of issues, each with a different maturity.

data interpretation CAT

Q. How many times was the issue of securities under-subscribed, i.e., how often did the total amount mobilized fall short of the amount notified?


  1. 0

  2. 1

  3. 2

  4. 3


Ans . B


Q. Which of the following is true?


  1. The second round issues have a higher maturity than the first round for all dates

  2. The second round issue of any date has a lower maturity only when the first round notified amount exceeds that of the second round.

  3. On at least one occasion, the second round issue having lower maturity received a higher number of competitive bids.

  4. None of the above three statements is true.


Ans . C


Q. Which of the following statements is NOT true?


  1. Competitive bids received always exceed non-competitive bids received

  2. The number of competitive bids accepted does not always exceed the number of non-competitive bids accepted.

  3. The value of competitive bids accepted on any particular date is never higher for higher maturity.

  4. The value of non-competitive bids accepted in the first round is always greater than that in the second round.


Ans . D


Data interpretation


Each point in the graph below shows the profit and turnover data for a company. Each company belongs to one of the three industries: textile, cement and steel.

data interpretation CAT

Q. For how many companies does the profit exceed 10% of turnover?


  1. 8

  2. 7

  3. 6

  4. 5


Ans . B


Q. For how many steel companies with a turnover of more than 2000 is the profit less than 300?


  1. 0

  2. 1

  3. 2

  4. 7


Ans . C


Q. An investor wants to buy stock of only steel or cement companies with a turnover more than 1000 and profit exceeding 10% of turnover. How many choices are available to the investor?


  1. 4

  2. 5

  3. 6

  4. 7


Ans . B


Data interpretation


Details of the top 20 MBA schools in the US as ranked by US News and World Report, 1997 are given below.

data interpretation CAT

Q. Madhu has received admission in all schools listed above. She wishes to select the highest overall ranked school whose a) annual tuition fee does not exceed $23,000 and b) median starting salary is at least $70,000. Which school will she select


  1. University of Virginia.

  2. University of Pennsylvania

  3. Northwestern University

  4. University of California - Berkeley


Ans . D


Q. in 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. 1

  2. 2

  3. 3

  4. 4


Ans . B


Q. How many schools in the list above have single digit rankings on at least 3 of the 4 parameters (overall ranking, ranking by academics, ranking by recruiters and ranking by placement)?


  1. 10

  2. 5

  3. 7

  4. 8


Ans . D


Data interpretation


Table A below provides data about ages of children in a school. For the age given in the first column, the second column gives the number of children not exceeding the age. For example, first entry indicates that there are 9 children aged 4 years or less. Tables B and C provide data on the heights and weights respectively of the same group of children in a similar format. Assuming that an older child is always taller and weighs more than a younger child, answer the following questions

data interpretation CAT

Q. What is the number of children of age 9 years of less whose height does not exceed 135 cm?


  1. 48

  2. 45

  3. 3

  4. Cannot be determined


Ans . B


Q. How many children of age more than 10 years are taller than 150 cm and do not weigh more than 48 kg?


  1. 16

  2. 40

  3. 9

  4. Cannot be determined


Ans . A


Q. Among the children older than 6 years but not exceeding 12 years, how many weigh more than 38 kg.?


  1. 34

  2. 52

  3. 44

  4. Cannot be determined


Ans . C


Data interpretation


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.

data interpretation CAT

Q. Which firm has the highest profitability?


  1. A

  2. B

  3. C

  4. D


Ans . D


Q. If firm A acquires firm B, approximately what percentage of the total market (total sales) will they corner together?


  1. 55%

  2. 45%

  3. 35%

  4. 50%


Ans . A


Data interpretation


A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.


Q. Which of the following is one of the married couples?


  1. A & B

  2. B & E

  3. D & E

  4. A & D


Ans . D


Q. What is E's profession?


  1. Engineer

  2. Lawyer

  3. Professor

  4. Accountant


Ans . A


Q. How many members of the group are males?


  1. 2

  2. 3

  3. 4

  4. CANT SAY


Ans . B


Data interpretation


The Head of a newly formed government desires to appoint five of the six elected members A, B, C, D, E and F to portfolios of Home, Power, Defence, Telecom and Finance. F does not want any portfolio if D gets one of the five. C wants either Home or Finance or no portfolio. B says that if D gets either Power or Telecom, then she must get the other one. E insists on a portfolio if A gets one.


Q. Which is a valid assignment?


  1. A-Home, B-Power, C-Defence, D-Telecom, E-Finance.

  2. C-Home, D-Power, A-Defence, B-Telecom, E-Finance.

  3. A-Home, B-Power, E-Defence, D-Telecom, F-Finance.

  4. B-Home, F-Power, E-Defence, C-Telecom, A-Finance.


Ans . B


Q. If A gets Home and C gets Finance, then which is NOT a valid assignment of Defense and Telecom?


  1. D-Defence, B-Telecom.

  2. F-Defence, B-Telecom.

  3. B-Defence, E-Telecom.

  4. B-Defence, D-Telecom.


Ans . D


Data interpretation


Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can be also produced by mixing RED and YELLOW paints in equal proportions. Similarly, PINK paint can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, (formed by mixing WHITE and YELLOW in the ratio 70:30) AVOCADO paint (formed by mixing equal amounts of ORANGE and PINK paint) and WASHEDORANGE paint (formed by mixing equal amounts of ORANGE and WHITE paint). The following table provides the price at which RBPC buys paints.

data interpretation CAT

Q. The cheapest way to manufacture AVOCADO paint would cost


  1. Rs. 19.50 per litre

  2. Rs. 19.75 per litre

  3. Rs. 20.00 per litre.

  4. Rs. 20.25 per litre.


Ans . B


Q. WASHEDORANGE can be manufactured by mixing


  1. CREAM and RED in the ratio 14:10.

  2. CREAM and RED in the ratio 3:1.

  3. YELLOW and PINK in the ratio 1:1.

  4. RED, YELLOW, and WHITE in the ratio 1:1:2.


Ans . D


Q. Assume that AVOCADO, CREAM and WASHEDORANGE each sells for the same price. Which of the three is the most profitable to manufacture?


  1. AVOCADO

  2. CREAM

  3. WASHEDORANGE

  4. Sufficient data is not available.


Ans . B


Data interpretation


Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible


Q. Which of the following cannot be seated at either end?


  1. C

  2. D

  3. F

  4. G


Ans . C


Q. Which of the following pairs cannot be seated together?


  1. B & D

  2. C & F

  3. D & G

  4. E & A


Ans . D


Q. Which of the following pairs cannot occupy the seats on either side of B?


  1. F & D

  2. D & E

  3. E & G

  4. C & F


Ans . C


Data interpretation

In a Decathlon, the events are 100 m, 400 m, 100 m hurdles, 1,500 m, High jump, Pole vault, Long jump, Discus, Shot put and Javelin. The performance in the first four of these events is consolidated into Score-1, the next three into Score-2, and the last three into Score-3. Each such consolidation is obtained by giving appropriate positive weights to individual events. The final score is simply the total of these three scores. The athletes with the highest, second highest and the third highest final scores receive the gold, silver, and the bronze medals respectively. The table below gives the scores and performance of 19 top athletes in this event


data interpretation for CAT

Q. The athletes from FRG and USA decided to run a 4 × 100 m relay race for their respective countries with the country having three athletes borrowing the athlete from CZE. Assume that all the athletes ran their stretch of the relay race at the same speed as in Decathlon event. How much more time did the FRG relay team take as compared to the USA team?


  1. 0.18

  2. 0.28

  3. 0.78

  4. 0.00


Ans . A


Q. What is the least that Daley Thompson must get in Score-2 that ensures him a bronze medal


  1. 5309

  2. 5296

  3. 5271

  4. 5270


Ans . B


Q. At least how many competitors (excluding Daley Thompson) must Michael Smith have out-jumped in the long jump event?


  1. 1

  2. 2

  3. 3

  4. 4


Ans . D


Data interpretation

Answer the questions on the basis of the following charts


data interpretation for CAT

Q. In which year during the period 1996-1999 was Chaidesh’s export of tea, as a proportion of tea produced, the highest?


  1. 1996

  2. 1997

  3. 1998

  4. 1999


Ans . B


Q. In which of the following years was the population of Chaidesh the lowest?


  1. 1995

  2. 1996

  3. 1997

  4. 1999


Ans . A


Q. The area under tea cultivation 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


Ans . A


Data interpretation

The following is the wholesale price index (WPI) of a select list of items with the base year of 1993-94. In other words, all the item prices are made 100 in that year (1993-94). Prices in all other years for an item are measured with respect to its price in the base year. For instance, the price of cement went up by 1% in 1994-95 as compared to 1993-94. Similarly, the price of power went up by 3% in 1996-97 as compared to 1993-94.


data interpretation for CAT

Q. Let us suppose that one bag of cement (50 kg) consumes 100 kg of limestone and 10 units of power. The only other cost item in producing cement is in the form of wages. During 1993-94, limestone, power and wages contributed, respectively, 20%, 25% and 15% to the cement price per bag. The average operating profit (per cent of price per cement bag) earned by a cement manufacturer during 2002-03 is closest to


  1. 40%

  2. 39.5

  3. 38.5

  4. 37.5


Ans . C


Q. Steel manufacturing requires the use of iron ore, power and manpower. The cost of iron ore has followed the All Items index. During 1993-94 power accounted for 30% of the selling price of steel, iron ore for 25%, and wages for 10% of the selling price of steel. Assuming the cost and price data for cement as given in the previous question, the operating profit (per cent of selling price) of an average steel manufacturer in 2002-03


  1. is more than that of a cement manufacturer.

  2. is less than that of a cement manufacturer.

  3. is the same as that of a cement manufacturer.

  4. Cannot be determined


Ans . B


Q. Which item experienced continuous price rise during the ten-year period?


  1. Power

  2. Cement

  3. Wages

  4. Limestone


Ans . A


Q. Which item(s) experienced only one decline in price during the ten-year period?


  1. Steel and limestone

  2. Steel and timber

  3. Timber

  4. Timber and wages


Ans . D


Data interpretation

Below is a table that lists countries region-wise. Each region-wise list is sorted, first by birth rate and then alphabetically by name of country. We now wish to merge the region-wise list into one consolidated list and provide overall rankings to each country based first on birth rate and then on death rate. Thus, if some countries have the same birth rate, then the country with a lower death rate will be ranked higher. Further, countries having identical birth and death rates will get the same rank. For example, if two countries are tied for the third position, then both will be given rank 3, while the next country (in the ordered list) will be ranked 5.


data interpretation for CAT
data interpretation for CAT

Q. In the consolidated list, what would be the overall rank of the Philippines?


  1. 32

  2. 33

  3. 34

  4. 35


Ans . B


Q. In the consolidated list, how many countries would rank below Spain and above Taiwan?


  1. 9

  2. 8

  3. 7

  4. 6


Ans . A


Q. In the consolidated list, which country ranks 37th?


  1. South Africa

  2. Brazil

  3. Turkey

  4. Venezuela


Ans . D


Q. In the consolidated list, how many countries in Asia will rank lower than every country in South America, but higher than at least one country in Africa?


  1. 8

  2. 7

  3. 6

  4. 5


Ans . A


Data interpretation


data interpretation for CAT

Q. Which of the following statements is correct?


  1. November rainfall exceeds 100 cm in each location.

  2. September rainfall exceeds 50 cm in each location.

  3. March rainfall is lower than September rainfall in each location

  4. None of these.


Ans . C


Q. Locations 6 and 7 differ from all the rest because only in these two locations,


  1. April rainfall exceeds March rainfall.

  2. Peak rainfall occurs in April.

  3. November rainfall is lower than March rainfall.

  4. April rainfall is less than 200 cm.


Ans . B


Data interpretation


data interpretation for CAT

Q. During 1996-2002, the number of commodities that exhibited a net overall increase and net overall decrease, respectively, were


  1. 3 and 3

  2. 2 and 4

  3. 4 and 2

  4. 5 and 1


Ans . C


Q. The number of commodities that experienced a price decline for two or more consecutive years is


  1. 2

  2. 3

  3. 4

  4. 5


Ans . D


Q. For which commodities did a price increase immediately follow a price decline only once in this period?


  1. Rice, edible oil and dal

  2. Egg and dal

  3. Onion only

  4. Egg and onion


Ans . D


Data interpretation

The profitability of a company is defined as the ratio of its operating profit to its operating income, typically expressed in percentage. The following two charts show the operating income as well as the profitability of six companies in the financial years (F.Ys.) 2001-02 and 2002-03.


data interpretation for CAT

Q. Which of the following statements is NOT true?


  1. The company with the third lowest profitability in F.Y. 2001-02 has the lowest operating income in F.Y. 2002-03.

  2. The company with the highest operating income in the two financial years combined has the lowest operating profit in F.Y. 2002-03.

  3. Companies with a higher operating income in F.Y. 2001-02 than in F.Y. 2002-03 have higher profitability in F.Y 2002-03 than in F.Y. 2001-02.

  4. Companies with profitability between 10% and 20% in F.Y. 2001-02 also have operating incomes between 150 crore and 200 crore in F.Y. 2002-03.


Ans . D


Q. Which company recorded the highest operating profit in F.Y. 2002-03?


  1. A

  2. C

  3. E

  4. F


Ans . C


Q. What is the approximate average operating profit, in F.Y 2001-02, of the two companies excluded from the third chart?


  1. 7.5 crore

  2. 3.5 crore

  3. 25 crore

  4. Cannot be determined


Ans . A


Q. The average operating profit in F.Y. 2002-03 of companies with profitability exceeding 10% in F.Y. 2002-03, is approximately


  1. 17.5 crore

  2. 25 crore

  3. 27.5 crore

  4. 32.5 crore


Ans . D


Data interpretation

Sex Ratio (Number of females per 1,000 males) of Selected States in India : 1901-2001


data interpretation for CAT

Q. The two states which achieved the largest increases in sex ratio over the period 1901-2001 are


  1. Punjab and HP

  2. HP and Kerala

  3. Assam and J & K

  4. Kerala and J & K


Ans . B


Q. Among the states which have a sex ratio exceeding 1000 in 1901, the sharpest decline over the period 1901-2001 was registered in the state of


  1. Goa

  2. TN

  3. Bihar

  4. Orissa


Ans . C


Q. Each of the following statements pertains to the number of states with females outnumbering males in a given census year. Which of these statements is NOT correct?


  1. This number never exceeded 5 in any census year

  2. This number registered its sharpest decline in 1971

  3. The number of consecutive censuses in which this number remained unchanged never exceeded 3.

  4. Prior to the 1971 census, this number was never less than 4


Ans . C


Data interpretation

Answer the questions on the basis of the following information. Shown below is the layout of major streets in a city. Two days (Thursday and Friday) are left for campaigning before a major election, and the city administration has received requests from five political parties for taking out their processions along the following routes.
Congress: A-C-D-E BJP: A-B-D-E SP: A-B-C-E
BSP: B-C-E CPM: A-C-D
Street B-D cannot be used for a political procession on Thursday due to a religious procession. The district administration has a policy of not allowing more than one procession to pass along the same street on the same day. However, the administration must allow all parties to take out their procession during these two days.


data interpretation for CAT

Q. Congress procession can be allowed


  1. only on Thursday

  2. only on Friday

  3. on either day

  4. only if the religious procession is cancelled


Ans . A


Q. Which of the following is NOT true?


  1. Congress and SP can take out their processions on the same day.

  2. The CPM procession cannot be allowed on Thursday

  3. The BJP procession can only take place on Friday.

  4. Congress and BSP can take out their processions on the same day.


Ans . D


Data interpretation

Answer the questions on the basis of the information given below. The Dean's office recently scanned student results into the central computer system. When their character reading software cannot read something, it leaves the space blank. The scanner output reads as follows:

Data interpretation

In the grading system, A, B, C, D, and F grades fetch 6, 4, 3, 2, and 0 grade points respectively. The Grade Point Average (GPA) is the arithmetic mean of the grade points obtained in the five subjects. For example Nisha's GPA is (6 + 2 + 4 + 6 + 0) / 5 = 3.6. Some additional facts are also known about the students' grades. These are
(a) Vipul obtained the same grade in Marketing as Aparna obtained in Finance and Strategy.
(b) Fazal obtained the same grade in Strategy as Utkarsh did in Marketing.
(c) Tara received the same grade in exactly three courses.


Q. What grade did Preeti obtain in Statistics?


  1. A

  2. B

  3. C

  4. D


Ans . A


Q. In operations, Tara could have received the same grade as


  1. Ismet

  2. Hari

  3. Jagdeep

  4. Manab


Ans . D


Q. In Strategy, Gowri's grade point was higher than that obtained by


  1. Fazal

  2. Hari

  3. Nisha

  4. Rahul


Ans . B


Q. What grade did Utkarsh obtain in Finance?


  1. B

  2. C

  3. D

  4. F


Ans . C


Data interpretation

Directions for questions 5 to 8: 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 (black box ), the Bose family (white box ), the Coomar family ( white circle ), and the Dubey family (black circle ). For these questions, savings is defined as


data interpretation for CAT

Q. Which family has the lowest average income?


  1. Ahuja

  2. Bose

  3. Coomar

  4. Dubey


Ans . C


Q. Which family has the highest average expenditure?


  1. Ahuja

  2. Bose

  3. Coomar

  4. Dubey


Ans . D


Q. Which family has the lowest average savings?


  1. Ahuja

  2. Bose

  3. Coomar

  4. Dubey


Ans . D


Q. The highest amount of savings accrues to a member of which family?


  1. Ahuja

  2. Bose

  3. Coomar

  4. Dubey


Ans . A


Data interpretation

Directions for questions 9 to 12: Answer the questions on the basis of the information given below. Prof. Singh has been tracking the number of visitors to his homepage. His service provider has provided him with the following data on the country of origin of the visitors and the university they belong to:

data interpretation for CAT

Q. To which country does University 5 belong?


  1. India or Netherlands but not USA

  2. India or USA but not Netherlands

  3. Netherlands or USA but not India

  4. India or USA but not UK


Ans . A


Q. University 1 can belong to


  1. UK

  2. Canada

  3. Netherlands

  4. USA


Ans . C


Q. Which among the listed countries can possibly host three of the eight listed universities?


  1. None

  2. Only UK

  3. Only India

  4. Both India and UK


Ans . A


Q. Visitors from how many universities from UK visited Prof. Singh's homepage in the three days?


  1. 1

  2. 2

  3. 3

  4. 4


Ans . B


Data interpretation

Answer the questions on the basis of the information given below. Purana and Naya are two brands of kitchen mixer-grinders available in the local market. Purana is an old brand that was introduced in 1990, while Naya was introduced in 1997. For both these brands, 20% of the mixer-grinders bought in a particular year are disposed off as junk exactly two years later. It is known that 10 Purana mixer-grinders were disposed off in 1997. The following figures show the number of Purana and Naya mixer-grinders in operation from 1995 to 2000, as at the end of the year.

data interpretation for CAT

Q. How many Naya mixer-grinders were purchased in 1999?


  1. 44

  2. 50

  3. 55

  4. 64


Ans . B


Q. How many Naya mixer-grinders were disposed off by the end of 2000?


  1. 10

  2. 16

  3. 22

  4. Cannot be determined from the data


Ans . B


Q. How many Purana mixer-grinders were disposed off in 2000?


  1. 0

  2. 5

  3. 6

  4. Cannot be determined from the data


Ans . D


Q. How many Purana mixer-grinders were purchased in 1999?


  1. 20

  2. 23

  3. 50

  4. Cannot be determined from the data


Ans . A


Data interpretation

Answer the questions on the basis of the information given below. A study was conduced to ascertain the relative importance that employees in five different countries assigned to five different traits in their Chief Executive Officers. The traits were compassion (C), decisiveness (D), negotiation skills (N), public visibility (P), and vision (V). The level of dissimilarity between two countries is the maximum difference in the ranks allotted by the two countries to any of the five traits. The following table indicates the rank order of the five traits for each country


data interpretation for CAT

Q. Which of the following pairs of countries are most dissimilar?


  1. China and Japan

  2. India and China

  3. Malaysia and Japan

  4. Thailand and Japan


Ans . D


Q. Which of the following countries is least dissimilar to India?


  1. China

  2. Japan

  3. Malaysia

  4. Thailand


Ans . A


Q. Which amongst the following countries is most dissimilar to India?


  1. China

  2. Japan

  3. Malaysia

  4. Thailand


Ans . B


Q. Three of the following four pairs of countries have identical levels of dissimilarity. Which pair is the odd one out?


  1. Malaysia and China

  2. China and Thailand

  3. Thailand and Japan

  4. Japan and Malaysia


Ans . D




Choose (1) if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose (2) if the question can be answered by using either of the statements alone.
Choose (3) if the question can be answered by using both statements together but not by either state- ment alone.
Choose (4) if the question cannot be answered on the basis of the two statements.


Q. Zakib spends 30% of his income on his children's education, 20% on recreation and 10% on healthcare. The corresponding percentage for Supriyo are 40%, 25%, and 13%. Who spends more on children's education?
A. Zakib spends more on recreation than Supriyo.
B. Supriyo spends more on healthcare than Zakib


  1. (1)

  2. (2)

  3. (3)

  4. (4)


Ans . A


Q. Four candidates for an award obtain distinct scores in a test. Each of the four casts a vote to choose the winner of the award. The candidate who gets the largest number of votes wins the award. In case of a tie in the voting process, the candidate with the highest score wins the award. Who wins the award?
A. The candidates with top three scores each vote for the top score amongst the other three.
B. The candidate with the lowest score votes for the player with the second highest score.


  1. (1)

  2. (2)

  3. (3)

  4. (4)


Ans . A


Q. In a class of 30 students, Rashmi secured the third rank among the girls, while her brother Kumar studying in the same class secured the sixth rank in the whole class. Between the two, who had a better overall rank?
A. Kumar was among the top 25% of the boys merit list in the class in which 60% were boys.
B. There were three boys among the top five rank holders, and three girls among the top ten rank holders.


  1. (1)

  2. (2)

  3. (3)

  4. (4)


Ans . A


Q. Tarak is standing 2 steps to the left of a red mark and 3 steps to the right of a blue mark. He tosses a coin. If it comes up heads, he moves one step to the right; otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stop?
A. He stops after 21 coin tosses.
B. He obtains three more tails than heads.


  1. (1)

  2. (2)

  3. (3)

  4. (4)


Ans . B


Q. Ravi spent less than Rs. 75 to buy one kilogram each of potato, onion, and gourd. Which one of the three vegetables bought was the costliest?
A. 2 kgs potato and 1 kg gourd cost less than 1 kg potato and 2 kg gourd.
B. 1 kg potato and 2 kgs onion together cost the same as 1 kg onion and 2 kgs gourd.


  1. (1)

  2. (2)

  3. (3)

  4. (4)


Ans . C


Q. Nandini paid for an article using currency notes of denominations Re. 1, Rs. 2, Rs. 5, and Rs. 10 using at least one note of each denomination. The total number of five and ten rupee notes used was one more than the total number of one and two rupee notes used. What was the price of the article?
A. Nandini used a total of 13 currency notes.
B. The price of the article was a multiple of Rs. 10.


  1. (1)

  2. (2)

  3. (3)

  4. (4)


Ans . D


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Answer the questions on the basis of the information given below. Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out. John summarized the batting performance through three diagrams, one for each game. In each diagram, the three outer triangles communicate the number of runs scored by the three top scores from India, where K, R, S, V, and Y represent Kaif, Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of the total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournaments; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.


data interpretation

Q. For how many Indian players is it possible to calculate the exact M-index?


  1. 0

  2. 1

  3. 2

  4. more than 2


Ans . C



Q. Among the players mentioned, who can have the lowest R-index from the tournament?


  1. Only Kaif, Rahul or Yuvraj

  2. Only Kaif or Rahul

  3. Only Kaif or Yuvraj

  4. Only Kaif


Ans . A



Q. How many players among those listed definitely scored less than Yuvraj in the tournament?


  1. 0

  2. 1

  3. 2

  4. more than 2


Ans . B



Q. Which of the players had the best M-index from the tournament?


  1. Rahul

  2. Saurav

  3. Virender

  4. Yuvraj


Ans . B





Twenty one participants from four continents (Africa, America, Australasia, and Europe) attended a United Nations conference. Each participant was an expert in one of four fields, labour, health, population studies, and refugee relocation. The following five facts about the participants are given.

  1. The number of labour experts in the camp was exactly half the number of experts in each of the other three categories

  2. Africa did not send any labour expert. Otherwise, every continent, including Africa, sent at least one expert for each category.

  3. None of the continents sent more than three experts in any category

  4. If there had been one less Australasian expert, then the Americas would have had twice as many experts as each of the other continents.

  5. Mike and Alfanso are leading experts of population studies who attended the conference. They are from Australasia.



Q. Which of the following combinations is NOT possible?


  1. 2 experts in population studies from the Americas and 2 health experts from Africa attended the conference.

  2. 2 experts in population studies from the Americas and 1 health expert from Africa attended the conference.

  3. 3 experts in refugee relocation from the Americas and 1 health expert from Africa attended the conference

  4. Africa and America each had 1 expert in population studies attending the conference.


Ans . D



Q. If Ramos is the lone American expert in population studies, which of the following is NOT true about the numbers of experts in the conference from the four continents?


  1. There is one expert in health from Africa.

  2. There is one expert in refugee relocation from Africa.

  3. There are two experts in health from the Americas.

  4. There are three experts in refugee relocation from the Americas


Ans . C



Q. Alex, an American expert in refugee relocation, was the first keynote speaker in the conference. What can be inferred about the number of American experts in refugee relocation in the conference, excluding Alex? i. At least one ii. At most two


  1. Only i and not ii

  2. Only ii and not i

  3. Both i and ii

  4. Neither i nor ii


Ans . C



Q. Which of the following numbers cannot be determined from the information given?


  1. Number of labour experts from the Americas

  2. Number of health experts from Europe.

  3. Number of health experts from Australasia

  4. Number of experts in refugee relocation from Africa.


Ans . D





The year was 2006. All six teams in Pool A of World Cup hockey, play each other exactly once. Each win earns a team three points, a draw earns one point and a loss earns zero points. The two teams with the highest points qualify for the semifinals. In case of a tie, the team with the highest goal difference (Goal For - Goals Against) qualifies. In the opening match, Spain lost to Germany. After the second round (after each team played two matches), the pool table looked as shown below.

data interpretation
  1. In the third round, Spain played Pakistan, Argentina played Germany, and New Zealand played South Africa. All the third round matches were drawn. The following are some results from the fourth and fifth round matches

  2. Spain won both the fourth and fifth round matches.

  3. Both Argentina and Germany won their fifth round matches by 3 goals to 0.

  4. Pakistan won both the fourth and fifth round matches by 1 goal to 0.


Q. Which one of the following statements is true about matches played in the first two rounds?


  1. Germany beat New Zealand by 1 goal to 0.

  2. Spain beat New Zealand by 4 goals to 0.

  3. Spain beat South Africa by 2 goals to 0.

  4. Germany beat South Africa by 2 goals to 1.


Ans . D



Q. Which one of the following statements is true about matches played in the first two rounds?


  1. Pakistan beat South Africa by 2 goals to 1.

  2. Argentina beat Pakistan by 1 goal to 0.

  3. Germany beat Pakistan by 2 goals to 1.

  4. Germany beat Spain by 2 goals to 1.


Ans . B



Q. If Pakistan qualified as one of the two teams from Pool A, which was the other team that qualified?


  1. Argentina

  2. Germany

  3. Spain

  4. Cannot be determined


Ans . D



Q. Which team finished at the top of the pool after five rounds of matches?


  1. Argentina

  2. Germany

  3. Spain

  4. Cannot be determined


Ans . D


Quiz

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