66794683 Data Interpretation

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Data Interpretation

Level 1 Questions

Level 1 QuestionsQuestion 1.

INCOME: 1. Money from fund raising programmes, 2. Grant from the government, 3.

Contributions from individuals, 4. Contributions from coporations, 5. Contributions as

commodities. EXPENDITURE: 1. Education of the illiterate, 2. Food for the poor,

3.Management and salary of staff and 4. expenses to organise fund-raising programmes.

Above charts show the amounts of an NGO where Income for the year 1998-1999 = $ 55

Mn and Expenditure for the same year = $54Mn.

1. What percentage of the total expenditure does management and salary account for?

1. 30%

2. 3%

3. 8.3%

4. 3.4%

5. 5.7%

Answer : 3

Explanation :

(100/360)(30)=8.3% Alternate method: The total money spent for management and salary

=(30/360)x54 = 4.5 million. The percentage of this in the expenditure = (4.5/100)/54 =

8.3%.2. Approximately what percentage of the money is saved?


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1. 2%2. 3%

3. 1%4. 10%5. 100%

Answer : 1

Explanation :

The saved money is 55-54=1million. Required percentage = (1/55) (100) = 20/11 =1.81%. It is approximately 2% .

Question 2.

1. From 1972 to 1974 the fares collected from subways increased by what percentage?

1. 10%

2. 12%3. 15%4. 16 2/3%5. 25%

Answer : 4

Explanation :


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The fares collected from subways in 1972 and 1974 are 300mn and 350mn. The increase is350-300=50mn. The percentage increase =(50)(100/300)=50/3 = 16 2/3%.

2. From 1972 to 1977 what was the average fare collected by buses per year?

1. 225

2. 2503. 260

4. 275

5. 300

Answer : 4

Explanation :

From 1972 to 1977 the collection of fares was (275+300+325+300+225+225)=1650mn.The average fares collected per year =1650/6)=275

Question 3.

1. The fares collected from commuter rail in 1977 was what percent of fares collected fromall sources in 1977?

1. 200%2. 100%

3. 50%4. 28%5. 12%


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Answer : 3

Explanation :

The rail fare collected in 1977 was 400. Total number of fares collected from all sources in

1977 was 220+400+180=800. Therefore rail fare collected in 1977 was(400)(100/800)=50% of the fares collected from all sources.

2. Which of the following can be inferred from the graph? I) The fares collected bycommuter rail were maximum in 1977. II) There was approximately 10% hike in farescollected by subways from 1973 to 1974. III) There are three years in which fares collected

by subways in a particular year was greater than the fares collected in its preceding year.

1. I only

2. II only3. III only4. I & II5. I,II & III

Answer : 4

Explanation :

I is true. It is clear from the graph. II is true. (100/300)(30)=10%.) III is False since there

are only 2 such years.

Question 4.


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1. If the GDP of the world was 100 in 1991 how much would it have been in the beginningof 1993?

1. 105.26752. 105.23. 104.3

4. 103.3755. 103.2

Answer : 1

Explanation :

GDP of the world in 1992 was 100+2.5=102.5. GDP of the world in 1993 beginning was102.5+((102.5/100)x2.7)=102.5+2.77=105.27

2. Which of the following regions or types of countries showed the highest annual averagerate of growth in the nineties ?

1. Asia2. Africa3. Other advanced countries4. Middle East and Europe

5. Major Industrial countries

Answer : 1

Explanation :

It is clear from the chart that for Asia the growth rates of GDP during nineties arecomparatively higher than the other areas.

Level 2 Questions

Question 1.


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1. Which year of the following did California have the least number of cases?

1. 19602. 19753. 19704. 19805. 1990

Answer : 2

Explanation :

1975

2. How many cases were registered in NY and CAL in 1950?

1. 2752. 3253. 3204. 2905. 150

Answer : 1

Explanation :

150+125=275

Question 2.


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1. Throughout the years shown, for how many commodities has there been at least a 10%difference in the per capita demand?

1. 3

2. 23. 44. 5

5. 1

Answer : 2

Explanation :

A difference of 10% means that for each year, the figure must be less than 90% or more

than 110% of that of the previous year. Such a difference is there in the case of (1) Sugar;(2) Tea. Therefore answer is 2 commodities.

2. What was the approximate percent fall in per capita demand for other cereals' in 1992

compared to 1989?

1. 10

2. 9.13. 11.24. 8.7

5. 7.5

Answer : 2


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Explanation :

Percent fall in per capita demand for other cereals' in 1992 compared to 1989 = ((44 -40)/44) X 100 = (4/44) X 100 = 9.1 approximately.

Question 3.

1. In terms of prices of 2000, by what percentage has the GDP of the country increasedsince 1990?

1. 166.67%2. 66.67%

3. 77%4. 72.5%5. 80.25%

Answer : 3

Explanation :

GDP in 1990=$180 mn. GDP in 2000=$480 mn.in 2000 prices = $(480/1.5)mn = $320mnin 1990 prices. Increase = $(320-180)mn=$140mn. The % increase in 1990 prices =(100/180)x140=77.78% Approximately it is 77.%.

2. In terms of prices of 1990, what is the approximate percentage increase in BusinessInvestment from 1990 to 2000?

1. 40%2. 140%3. 250%

4. 125%5. 100%


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Answer : 2

Explanation :

Business investment in 1990=$35 mn. Business investment in 2000=$125 mn.in 2000prices = $(125/1.5)mn = $83.3mn in 1990 prices. Increase = $(83.3-35)mn=$49.8mn. It

is approximately $50mn. The % increase in 1990 prices = (100/35)x50=143%.Approximately it is 140%.

Question 4.

1. By what percentage are the highest monthly retail sales higher than the lowest monthlyretail sales in 1996?

1. 25%

2. 36.6%3. 42.8%4. 48.8%5. 51%

Answer : 3

Explanation :

The variation is 75000. The % of variation is (100/175000)x75000=(100) ((3/7). = 300/7Approximately it is 42.8%.

2. What is the percentage of difference between the maximum variation over the years for

1998 and 1991

1. 25%2. 15%

3. 8%


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4. 2%5. None

Answer : 5

Explanation :

The variation in 1991=55000. The variation in 1998 =65000. The percentage of differencebetween the maximum variation over the years for 1998 and 1991= (10000/55000) (100)= 200/11 = 18 2/11%.

Level 3 Questions

Question 1.

1. Of every dollar received by the federal government, how much (in cents) is fromcoporate sources?

1. 322. 703. 30

4. 35

5. 29

Answer : 1

Explanation :

Total revenue =$(20+32+6+92+70)=220. Revenue from corporate sources = $70.Therefore, required percentage = (70/220) (100) = 31.5%. Approximately it is 32 cents.


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2. what percentage of the federal revenue is derived from borrowings?

1. 0.2%2. 0.02%3. 2.7%4. 1.2%

5. 2.5%

Answer : 3

Explanation :

Borrowings = $6. Therefore, required percentage = (6/220) (100) = 30/11 = 2.7%

approximately.

Question 2.

DIRECTIONS: The following question are based on the bellow table, which shows per capita

Mean Expenditure, Per capita Food expenditure, Number of Households and Per capitacereal consumption, in both quantity and value, for different expenditure classes of ruralIndia. The sampled 41597 households are divided into 12 expenditure classes, starting from

less than Rs.65 per month per capita and ending at more than Rs.385 per capita per month.

1. According to the results of this sample survey, what is the proportion of totalexpenditure on food to total expenditure for all the sampled households taken together?

1. 58%2. 36.7%3. 63.3%

4. 71%5. Cannot be determined

Answer : 3

Explanation :

Answer is (100/158.1)x(100.82)=63.76 approximately.


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2. What is the difference, approximately, between the gross expenditure of the sampledhouseholds in the Rs.95-110 expenditure class and in the Rs.180-215 expenditure class?

1. 3720002. 4480003. 496000

4. 93.85. 52.3

Answer : 1

Explanation :

Answer is (196.36 x 4023)-(102.56 x 4067)=789956.28-417111.52=372844.76.

Question 3.

GRAPH SHOWS EXPENDITURE ON ARMS BY DIFFERENT COUNTRIES (VALUE IN DOLLARS'000 MILLIONS)

1. The amount spent by country C in 1983 is what percentage more than the amountspent by Countries A and B together in 1977? (Find approximately)

1. 50%2. 179%3. 75%4. 13%

5. 70%

Answer : 3


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Explanation :

The amount spent in 1977 by Countries A and B together =$ (0.75+1.25) = $2.0 million.

The amount spent by Country C in 1983 = $3.5 million. This is $1.5mn more than (A + B).

In percentage it is = (1.5/2.0) (100)=75%. Therefore the answer is (C).

2. Which of the following statements must be true? i) Country A spends minimum amountof its budget on arms. ii) Throughout, Country C has spent the maximum amount on arms

during the years shown. iii) An examination of the information for the last 3 years reveals

that generally all 3 countries are reducing their expenditure on arms.

1. i only.

2. i and ii only3. i and iii only4. ii and iii only5. None of the statements above.

Answer : 5

Explanation :

From the given data we cannot say the statement i) must be true. The graph gives us

information only about how much money each country is spending on arms, but it does not

give us any information of the budget of each country. Statement ii) is not true. In 1979Country B has spent more than Country C. Statement iii) is also not true. Countries B and C

have reduced their expenditure on arms from 1981-83 and country A has reduced its

expenditure in 1983 compared to 1982. But in 1982, country A has not reduced itsexpenditure and is spending the same amount as in 1981. Therefore None of the statementmust be true. Therefore the answer is (E).

Question 4.

A SAVINGS BANK IN A LARGE CITY PUBLISHED THE FOLLOWING GRAPH FOR ITSDEPOSITORS, HOW YOUR SAVINGS WORK FOR YOU.

1. About how many degrees (to the nearest degree) are in the angle of the sectorrepresenting mortgages?

1. 59


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2. 1063. 211

4. 2465. 318

Answer : 3

Explanation :

Mortgages --> 58.6% Therefore 58.6% of 360 degrees = (58.6/100) X 360 = (0.586) (360)= 210.9 degrees. This is nearest to 211. Therefore the answer is C.

2. The annual rate of interest from "other assets" is 4.8%. If the total assets of the bankare 57.6 million dollars, what is the annual income (in dollars) from "other assets"?

1. 82,9442. 921,6003. 1,728,0004. 2,764,800

5. 3,600,000

Answer : 1

Explanation :

Total assets = $57.6 million. Other assets=3% of total assets = $ 1.728 million. 4.8% of

$1.728 million = $ 0.082944 million or $ 82944.

Data Interpretation

Level 4 Questions

Question 39.

A SAVINGS BANK IN A LARGE CITY PUBLISHED THE FOLLOWING GRAPH FOR ITSDEPOSITORS, HOW YOUR SAVINGS WORK FOR YOU.


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1. The average annual interest on mortgage investments is m% and the average annual

interest on the mortgage bond investment is b%. If the annual interest on the bondinvestment is x dollars, how many dollars are invested in mortgages?

1. xm/b.

2. xb/m.3. 100xb/m4. bx/100m.5. 200x/b

Answer : 5

Explanation :

Amount invested in bonds = $(100x/b). Therefore the amount invested in mortgages mustbe $(58.6/29.3) (100x/b) = $ 200x/b.

2. About how many degrees (to the nearest degree) are in the angle of the sector

representing cash on hand?

1. 1142. 14

3. 1404. 395. 321

Answer : 2

Explanation :

(3.9%) of 360 degrees. = (0.0369 (360) = 14.04. This is nearest to 14. Therefore theanswer is B.

Question 37.

DRIVING BETWEEN SEVERAL CITIES (Driving time, in hours, in parentheses)

1. A man drives from Albany to Boston. His average speed for 2 hours is 60 miles perhour. What is his average speed (approximately) for the remaining portion of the trip if he


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completes it in the usual time?

1. 342. 383. 404. 45

5. 68

Answer : 2

Explanation :

The driver covered (60) (2) = 120 miles in two hrs. He has to cover 51 miles more. For this

he can spend (3 1/3) - 2 = 1 1/3 hrs = 4/3 hrs for the rest of the trip. speed =distance/time. speed = 51/(4/3)hours = (51)(3/4) = 153/4 = 38 1/4 miles per hour. It isapproximately 38 miles per hour.

2. Find approximately the ratio of the average speed of a man who drove from Montreal to

Boston via Albany and to the average speed of a man who drove from Montreal to Boston

via Portland.

1. 12. 3/2

3. 2/34. 1/55. 5/4

Answer : 1

Explanation :

The distance between Montreal and Boston via Albany is 231+171=402 miles. The timetaken for this drive is 6 1/4 + 3 1/3 = (25/4)+(10/3) = 115/12 hours. Therefore the speed

of this drive is 402/(115/12) = (402)(12)/(115) The distance between Montreal and Bostonvia Portland is 265+108=373 miles. The time taken for this drive is 6 3/4 + 2 5/12 =

(27/4)+(29/12) = 110/12 hours. Therefore the speed of this drive is 373/(110/12) =(373)(12)/(110). The ratio of these two is (402)(12)/(115)/ (373)(12)/(110) =

(402)(22)/(373)(23) = 1 approximately.

Question 13.


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1. How many grams of sucrose (to the nearest gram) must be added to one gram ofsaccharin to make a mixture that will be 100 times as sweet as glucose?)

1. 72. 83. 9

4. 105. 100

Answer : 2

Explanation :

100 times as sweet as glucose = 74. Let x be the number of grams of sucrose to be addedto saccharin. 1 gram of saccharin = 675. If x grams of sucrose is added to 1 gram of

saccharin, then the sweetness of the mixture=(Sweetness/number of grams) = (x(1.00) +675)/(1 + x) and we need it to be equal to 74. Therefore x + 675 = 74 + 74x Therefore x -

74x = 74 - 675 Therefore - 73x = - 601 Therefore x = (601/73) = 8.2 grams. It is nearestto 8 grams.

2. What is the ratio of glucose to lactose in a mixture as sweet as maltose?

1. 8 : 21

2. 21 : 83. 25 : 94. 29: 8

5. 32: 5

Answer : 1

Explanation :

Obviously we must use less of the glucose than Lactose to get 0.32, since glucose is

sweeter than lactose. In the given choices the least proportion of glucose to lactose is 8 :21. Therefore the answer is (A). Or Suppose the ratio is x:y. Assume x+y=1. Then

x(0.74)+(1-x)(0.16)=0.32 implies x(0.74-0.16)=0.32-0.16 implies x(0.58)=0.16 impliesx=(16/58)=(8/29). y=(1-x)=(21/29) Therefore the ratio is 8:21.

Question 10.


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1. Ratio of the amount spent on legal affairs in 1970 to the amount spent on legal affairsin 1960 approximately.

1. 3/1

2. 1/33. 2/34. 1/25. 3/2

Answer : 4

Explanation :

Amount spent on legal affairs in 1970 = (4851/100)x4 = 194.25. Amount spent on legalaffairs in 1960 = (3087/100)x12 = 370.04 The ratio is 194.25/370.04. Approximately it is(1/2).

2. The amount spent on materials in 1960 was 120% of the amount spent on1. Research in 19602. Compensation in 19603. Advertising in 1970

4. Materials in 19705. Legal affairs in 1960

Answer : 1

Explanation :

(18x100)/120 =15%. Research received 15% of the expenditure in 1960.

Question 9.


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1. Among the four years in which year in which industry maximum percentage of people

were selected and what percentage it will be of total people selected in that year in all

industries? (Find approximately)

1. 1972, cotton industry, 36%

2. 1971, cotton industry, 40%3. 1973, cotton industry, 40%4. 1971, food products, 30%5. 1973, cotton industry, 45%

Answer : 3

Explanation :

By observing the table we can find that in all the four years in the industry of cotton textiles

more people were selected. In the year 1970 the number of selected people were 2595. Inthis year 944 were selected in cotton industry. It is of (100/2595)(944)=36%approximately. In the year 1971 the number of selected people were 2816. In this year

1018 were selected in cotton industry. It is of (100/2816)(1018)=36% approximately. In

the year 1972 the number of selected people were 2870. In this year 1042 were selected incotton industry. It is of (100/2870)(1042)=36% approximately. In the year 1973 thenumber of selected people were 3061 In this year 1225 were selected in cotton industry. It

is of (100/2595)(1225)=40% approximately. Note: By observing the table one can see thatin 1973 more people and in that in cotton industry more were selected. So it is enough tocalculate for the year 1973 only.

2. Among the four years in which industry maximum percentage of people were selected

in that industry than the earlier year?

1. cotton textiles2. Beverages

3. food products4. other textiles5. wood and wood products.

Answer : 2


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Explanation :

By observing the given data we can see that only for the following cases a considerablepercentage of more people were selected in that industry than the earlier year. For 1970-1971, in the industry of food products 64 more selected and this is of approximately(100/676)(64)=9% For 1970-1971, in the industry of Beverages 52 more selected and this

is of approximately (100/144)(52)=36%. For 1970-1971, in the industry of cotton textiles74 more selected and this is 8%. For 1972-1973, in the industry of cotton textiles 183 moreselected and this is of approximately (100/1042)(183)=18%. Therefore in 1971 in the

industry of Beverages a maximum percentage of more people were selected in that industry

than the earlier year.

Question 33.

INCOME: 1. Money from fund raising programmes, 2. Grant from the government, 3.Contributions from individuals, 4. Contributions from corporations, 5. Contributions as

commodities. EXPENDITURE: 1. Education of the illiterate, 2. Food for the poor,3.Management and salary of staff, Expenses to organise fund-raising programmes. Above

charsts show the amounts of an NGO Income for the year 1998-1999 = $ 55 Mn.Expenditure for the same year = $54Mn.

1. If the government stops the grant and the expenditure pattern remains the same, thenwhat will be the decrease in the money spent for the education of illiterate?

1. 19.37mn

2. 22.5mn3. 28.3mn4. 5.43mn

5. 3.13mn

Answer : 5

Explanation :

Government grant =(50/360)x55 =7.64Mn. 55-7.64=47.36 Mn. Money saved=47.36x(1/55), of the rest, (150/360) is spent for education. Therefore Money for

education =47.36 x (54/55)x(150/360 ) =19.37 Mn. Money spent earlier =22.5 Mn. 22.5-19.37=3.13 Mn.

2. How much money is raised by fund raising programmes?

1. 21.39 mn


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2. 30.13mn3. 14mn

4. 28mn5. 28.57mn

Answer : 1

Explanation :

(140/360)x55=21.39.

Directions to Solve

The bar graph given below shows the sales of books (in thousand number) from six branches of apublishing company during two consecutive years 2000 and 2001.

Sales of Books (in thousand numbers) from Six Branches - B1, B2, B3, B4, B5 and B6 of a

publishing Company in 2000 and 2001.

1. What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4for both years?

A.2:3 B.

3:5C.4:5 D.7:9Answer & Explanation

Answer:Option D

Explanation:


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Required ratio =(75 + 65)

=140

=7

.(85 + 95) 180 9

2. Total sales of branch B6 for both the years is what percent of the total sales of branches B3 forboth the years?

A.68.54% B.

71.11%C.73.17% D.75.55%Answer & Explanation

Answer:Option C

Explanation:

Required percentage=(70 + 80)

x 100 %(95 + 110)

=150

x 100 %

205= 73.17%.

3. What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales ofbranches B1, B3 and B6 in 2000?A.75% B.77.5%C.82.5% D.87.5%Answer & Explanation

Answer:Option D

Explanation:

Average sales (in thousand number) of branches B1, B3 and B6 in 2000

=1x (80 + 95 + 70)=

245.

3 3

Average sales (in thousand number) of branches B1, B2 and B3 in 2001

=1x (105 + 65 + 110)=

280.

3 3

Required percentage = 245/3x 100 % = 245x 100 % = 87.5%.280/3 280

4. What is the average sales of all the branches (in thousand numbers) for the year 2000?A.73 B.80C.83 D.88Answer & Explanation


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Answer:Option B

Explanation:

Average sales of all the six branches (in thousand numbers) for the year 2000

=1x [80 + 75 + 95 + 85 + 75 + 70]

6

= 80.

5. Total sales of branches B1, B3 and B5 together for both the years (in thousand numbers) is?A.250 B.310

C.435 D.

560Answer & Explanation

Answer:Option D

Explanation:

Total sales of branches B1, b2 and B5 for both the years (in thousand numbers)

= (80 + 105) + (95 + 110) + (75 + 95)

= 560.1. The ratio of the number of years, in which the foreign exchange reserves are above theaverage reserves, to those in which the reserves are below the average reserves is?A.2:6 B.3:4C.3:5 D.4:4Answer & Explanation

Answer:Option C

Explanation:

Average foreign exchange reserves over the given period = 3480 million US $.

The country had reserves above 3480 million US $ during the years 1992-93, 1996-97 and1997-98, i.e., for 3 years and below 3480 million US $ during the years 1991-92, 1993-94,1994-95, 1995-56 and 1998-99 i.e., for 5 years.

Hence, required ratio = 3 : 5.


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2. The foreign exchange reserves in 1997-98 was how many times that in 1994-95?A.0.7 B.1.2C.1.4 D.1.5

Answer & Explanation

Answer:Option D

Explanation:

Required ratio =5040

= 1.5.3360

3. For which year, the percent increase of foreign exchange reserves over the previous year, isthe highest?

A.1992-93 B.

1993-94C.1994-95 D.1996-97Answer & Explanation

Answer:Option A

Explanation:

There is an increase in foreign exchange reserves during the years 1992 - 1993, 1994 - 1995,1996 - 1997, 1997 - 1998 as compared to previous year (as shown by bar-graph).

The percentage increase in reserves during these years compared to previous year are:

For 1992 - 1993 =(3720 - 2640)

x 100 % = 40.91%.2640

For 1994 - 1995 =(3360 - 2520)

x 100 % = 33.33%.2520

For 1996 - 1997 =(4320 - 3120)

x 100 % = 38.46%.3120

For 1997 - 1998 =(5040 - 4320)

x 100 % = 16.67%.4320

Clearly, the percentage increase over previous year is highest for 1992 - 1993.

4. The foreign exchange reserves in 1996-97 were approximately what percent of the averageforeign exchange reserves over the period under review?A.95% B.110%C.115% D.125%


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Answer:Option D

Explanation:

Average foreign exchange reserves over the given period

=1x (2640 + 3720 + 2520 + 3360 + 3120 + 4320 + 5040 + 3120) million US $

8

= 3480 million US $.

Foreign exchange reserves in 1996 - 1997 = 4320 million US $.

Required percentage =4320

x 100 % = 124.14% 125%.

3480

5. What was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94?A.100 B.150C.200 D.620Answer & Explanation

Answer:Option A

Explanation:



Increase = (5040 - 2520) = 2520 US $.

Percentage Increase =2520

x 100 % = 100%.2520

Directions to Solve

The bar graph given below shows the data of the production of paper (in lakh tonnes) by three

different companies X, Y and Z over the years.

Production of Paper (in lakh tonnes) by Three Companies X, Y and Z over the Years.


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1. For which of the following years, the percentage rise/fall in production from the previous year

is the maximum for Company Y?A.1997 B.1998C.1999 D.2000Answer & Explanation

Answer:Option A

Explanation:

Percengate change (rise/fall) in the production of Company Y in comparison to the previousyear, for different years are:

For 1997 =(35 - 25)

x 100 % = 40%.25

For 1998 =(35 - 35)

x 100 % = 0%.25

For 1999 =(40 - 35)

x 100 % = 14.29%.35

For 2000 =(50 - 40)

x 100 % = 25%.40

Hence, the maximum percentage rise/fall in the production of Company Y is for 1997.

2. What is the ratio of the average production of Company X in the period 1998-2000 to theaverage production of Company Y in the same period?A.1:1 B.15:17C.23:25 D.27:29


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Answer:Option C

Explanation:

Average production of Company X in the period 1998-2000

=1x (25 + 50 + 40) =

115lakh tons.

3 3

Average production of Company Y in the period 1998-2000

=1x (35 + 40 + 50) =

125lakh tons.

3 3

Required ratio =

115

3=

115

=

23

.125

3125 25

3. The average production for five years was maximum for which company?A.X B.YC.Z D.X and Z bothAnswer & Explanation

Answer:Option D

Explanation:

Average production (in lakh tons) in five years for the three companies are:

For Company X =1x (30 + 45 + 25 + 50 + 40) =

190= 38.

5 5

For Company Y =1x (25 + 35 + 35 + 40 + 50) =

185= 37.

5 5

For Company Z = 1x (35 + 40 + 45 + 35 + 35) =190= 38.5 5

Average production of five years is maximum for both the Companies X and Z.

4. In which year was the percentage of production of Company Z to the production of Company


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Y the maximum?A.1996 B.1997C.1998 D.1999Answer & Explanation

Answer:Option A

Explanation:

The percentages of production of Company Z to the production of Company Z for variousyears are:

For 1996 =35

x 100 % = 140%.25

For 1997 =40

x 100 % = 114.29%.35

For 1998 = 45x 100 % = 128.57%.35

For 1999 =35

x 100 % = 87.5%.40

For 2000 =35

x 100 % = 70%.50

Clearly, this percentage is highest for 1996.

5. What is the percentage increase in the production of Company Y from 1996 to 1999?A.30% B.45%C.50% D.60%Answer & Explanation

Answer:Option D

Explanation:

Percentage increase in the production of Company Y from 1996 to 1999

= (40 - 25)x 100 %25

=15

x 100 %25

= 60%.Directions to Solve


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The bar graph given below shows the data of the production of paper (in lakh tonnes) by threedifferent companies X, Y and Z over the years.

Production of Paper (in lakh tonnes) by Three Companies X, Y and Z over the Years.

6. What is the difference between the production of Company Z in 1998 and Company Y in1996?A.2,00,000 tons B.20,00,000 tonsC.20,000 tons D.2,00,00,000 tonsAnswer & Explanation

Answer:Option B

Explanation:

Required difference= [(45 - 25) x 1,00,000] tons= 20,00,000 tons.

Q Out of the two bar graphs provided below, one shows the amounts (in Lakh Rs.) invested by aCompany in purchasing raw materials over the years and the other shows the values (in Lakh

Rs.) of finished goods sold by the Company over the years.

Amount invested in Raw Materials (Rs. in Lakhs)


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Value of Sales of Finished Goods (Rs. in Lakhs)

1. The maximum difference between the amount invested in Raw materials and value of sales offinished goods was during the year?A.1995 B.1996

C.1997 D.


Answer:Option C

Explanation:

The differences between the amount invested in raw material and the value of sales of finishedgoods for various years are:

For 1995 = Rs. (200 - 120) lakhs = Rs. 80 lakhs.





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Clearly, maximum difference was during 1997.

2. The value of sales of finished goods in 1999 was approximately what percent of the sum ofamount invested in Raw materials in the years 1997, 1998 and 1999?A.33% B.37%C.45% D.49%Answer & Explanation

Answer:Option D

Explanation:

Required percentage=600

x 100 %(375 + 330 + 525)

= 48.78%49%.

3. What was the difference between the average amount invested in Raw materials during thegiven period and the average value of sales of finished goods during this period?A.Rs. 62.5 lakhs B.Rs. 68.5 lakhsC.Rs. 71.5 lakhs D.Rs. 77.5 lakhs


Answer:Option D

Explanation:

Required difference

= Rs.1x (200 + 300 + 500 + 400 + 600 +460)

6

-1x (120 + 225 + 375 + 330 + 525 + 420) lakhs

6= Rs.

2460-

1995lakhs

6 6

= Rs. (410 - 332.5) lakhs

= Rs. 77.5 lakhs.


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4. In which year, the percentage change (compared to the previous year) in the investment onRaw materials is same as that in the value of sales of finished goods?A.1996 B.1997

C.1998 D.


Answer:Option B

Explanation:

The percentage change in the amount invested in raw-materials and in the value of sales offinished goods for different years are:

Percentage change in Amount invested in raw-material:

For 1996 =(225 - 120)

x 100 % = 87.5%.120

For 1997 =(375 - 225)

x 100 % = 66.67%.225

For 1998 =(330 - 375)

x 100 % = -12%.375

For 1999 =(525 - 330)

x 100 % = 59.09%.330

For 2000 =(420 - 525)

x 100 % = -20%.525

Percentage change in value of sales of finished goods:

For 1996 =(300 - 200)

x 100 % = 50%.200

For 1997 =(500 - 300)

x 100 % = 66.7%.300

For 1998 =(400 - 500)

x 100 % = -20%.500

For 1999 =(600 - 400)

x 100 % = 50%.400

For 2000 = (460 - 600)x 100 % = -23.33%.600

Thus, the percentage difference is same during the year 1997.

5. In which year, there has been a maximum percentage increase in the amount invested in Raw


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materials as compared to the year?A.1996 B.1997C.1998 D.1999Answer & Explanation

Answer:Option A

Explanation:

The percentage increase in the amount invested in raw-materials as compared to the previousyear, for different years are:

For 1996 =(225 - 120)

% = 87.5%.120

For 1997 =(375 - 225)

% = 66.67%.225

For 1998 there is a decrease.

For 1999 =(525 - 330)

% = 59.09%.330

For 2000 there is a decrease.

There is maximum percentage increase in 1996.

Study the bar chart and answer the question based on it.

Production of Fertilizers by a Company (in 1000 tonnes) Over the Years


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1. What was the percentage decline in the production of fertilizers from 1997 to 1998?A.33(1/3)% B.20%C.25% D.21%Answer & Explanation

Answer:Option C

Explanation:

Required percentage =

(45 - 60)

% = -25%.60

There is a decline of 25% in production from 1997 to 1998.

2. The average production of 1996 and 1997 was exactly equal to the average production ofwhich of the following pairs of years?A.2000 and 2001 B.1999 and 2000C.1998 and 2000 D.1995 and 2001Answer & Explanation

Answer:Option D

Explanation:

Average production (in 10000 tonnes) of 1996 and 199740 + 60

= 50.2


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We shall find the average production (in 10000 tonnes) for each of the given alternative pairs:

2000 and 2001 =50 + 75

= 62.5.2

1999 and 2000 =65 + 50= 57.5.2

1998 and 2000 =45 + 50

= 47.5.2

1995 and 1999 =25 + 65

= 45.2

1995 and 2001 =25 + 75

= 50.2

The average production of 1996 and 1997 is equal to the average production of 1995 and2001.

3. What was the percentage increase in production of fertilizers in 2002 compared to that in1995?A.320% B.300%C.220% D.200%Answer & Explanation

Answer:Option C

Explanation:

Required percentage =(80 - 25)

x 100 % = 220%.25

4. In which year was the percentage increase in production as compared to the precious year themaximum?A.2002 B.2001C.1997 D.1996Answer & Explanation

Answer:Option D

Explanation:

The percentage increase in production compared to previous year for different years are:

In 1996 =(40 - 25)

x 100 % = 60%.25


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In 1997 =(60 - 40)

x 100 % = 50%.40

In 1998 there is a decrease in production.

In 1999 = (65 - 45)x 100 % = 44.44%.45

In 2000 there is a decrease in production.

In 2001 =(75 - 50)

x 100 % = 50%.50

In 2002 =(80 - 75)

x 100 % = 6.67%.75

Clearlyl, there is maximum percentage increase in production in 1996.

5. In how many of the given years was the production of fertilizers more than the averageproduction of the given years?A.1 B.2C.3 D.4Answer & Explanation

Answer:Option D

Explanation:

Average production (in 10000 tonnes) over the given years

=1(25 + 40 + 60 + 45 + 65 + 50 + 75 + 80) = 55.

8

The productions during the years 1997, 1999, 2001 and 2002 are more than the averageproduction.

Directions to Solve

The bar graph given below shows the percentage distribution of the total expenditures of acompany under various expense heads during 2003.

Percentage Distribution of Total Expenditure of a Company


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1. The total amount of expenditures of the company is how many times of expenditure onresearch and development?A.27 B.20C.18 D.8Answer & Explanation

Answer:Option B

Explanation:

Let the total expenditures be Rs. x.

Then, the expenditure on Research and Development (R & D)

= Rs. (5% of x)

= Rs.5

x x100

= Rs.x

.20

Ratio of the total expenditure to the expenditure on R & D

=x

/20

=20

.1

Then, the total expenditure is 20 times the expenditure of Research and Development.


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2. If the expenditure on advertisement is 2.10 crores then the difference between the expenditureon transport and taxes is?A.Rs. 1.25 crores B.Rs. 95 lakhs

C.Rs. 65 lakhs D.

Rs. 35 lakhsAnswer & Explanation

Answer:Option D

Explanation:

Let the total expenditure be Rs. xcrores.

Then, 15% of x= 2.10 x=2.10 x 100

= 14.15

Total expenditure = Rs. 14 crores

and so, the difference between the expenditures on transport and taxes

= Rs. [(12.5 - 10)% of 14] crores

= Rs. [2.5% of 14] crores

= Rs. 0.35 crores

= Rs. 35 lakhs

3. What is the ratio of the total expenditure on infrastructure and transport to the totalexpenditure on taxes and interest on loans?A.5:4 B.8:7C.9:7 D.13:11Answer & Explanation

Answer:Option D

Explanation:

Let the total amount of expenditures be Rs. x.

Then, the total expenditure on infrastruture and transport


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= Rs. [(20 + 12.5)% of x]

= Rs. [32.5% of x]

= Rs.32.5x

100

and total expenditure on taxes and interest on loans

= Rs. [(10 + 17.5)% of x]

= Rs. [27.5% of x]

= Rs.27.5x

100

Required ratio =32.5x/100

=13

.

27.5x/100 11

4. If the interest on loans amounted to Rs. 2.45 crores then the total amount of expenditure onadvertisement, taxes and research and development is?A.Rs. 7 crores B.Rs. 5.4 croresC.Rs. 4.2 crores D.Rs. 3 croresAnswer & Explanation

Answer:Option C

Explanation:

Let the total expenditure be Rs. xcrores.

Then, 17.5% of x= 2.45 x= 14.

Total expenditure = Rs. 14 crores.

and so, the total expenditure on advertisement, taxes and Research and Development

= Rs. [(15 + 10 + 5)% of 14] crores

= Rs. [30% of 14] crores

= Rs. 4.2 crores.

5. The expenditure on the interest on loans is by what percent more than the expenditure ontransport?


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A.5% B.10%C.20% D.40%Answer & Explanation

Answer:Option D

Explanation:

Let the total amount of expenditures be Rs. x.

Then, the expenditure on interest on loans = Rs. (17.5% of x) = Rs.17.5

100

and the expenditure on transport = Rs. (12.5% of x) = Rs.12.5

.100

Difference between the two expenditures= Rs.17.5x

-12.5x

100 100

= Rs. 5x100

and so, the required percentage =5x/100

x 100 % = 40%.12.5x/100

Directions to Solve

A cosmetic company provides five different products. The sales of these five products (in lakhnumber of packs) during 1995 and 2000 are shown in the following bar graph.

Sales (in lakh number of packs) of five different products of Cosmetic Company during 1995and 2000

1. The sales of lipsticks in 2000 was by what percent more than the sales of nail enamels in2000? (rounded off to nearest integer)


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A.33% B.31%C.28% D.22%Answer & Explanation

Answer:Option C

Explanation:

Required percentage=(48.14 - 37.76)

x 100 %37.76

= 27.57%28%.

2. During the period 1995-2000, the minimum rate of increase in sales is in the case of?A.Shampoos B.Nail enamelsC.Talcum powders D.Lipsticks


Answer:Option A

Explanation:

The percentage increase from 1995 to 2000 for various products are:

Lipsticks =(48.17 - 20.15)

x 100 % = 139.06%.20.15

Nail enamels =(37.76 - 5.93)

x 100 % = 536.76%.

5.93Talcum powders =

(29.14 - 14.97)x 100 % = 94.66%.

14.97

Shampoos =(12.21 - 7.88)

x 100 % = 54.95% 55%.7.88

Conditioners =(10.19 - 5.01)

x 100 % = 103.39%.5.01

The minimum rate of increase in sales from 1995 to 2000 is in the case of Shampoos.

3. What is the approximate ratio of the sales of nail enamels in 2000 to the sales of Talcumpowders in 1995?A.7:2 B.5:2C.4:3 D.2:1Answer & Explanation


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Answer:Option B

Explanation:

Required ratio =37.76 2.5 =5.14.97 2

The sales have increase by nearly 55% from 1995 to 2000 in the case of?

.Lipsticks

.Nail enamels

.Talcum powders

.Shampoos


Answer:Option D

Explanation:

The percentage increase from 1995 to 2000 for various products are:

Lipsticks =(48.17 - 20.15)

x 100 % = 139.06%.20.15

Nail enamels =(37.76 - 5.93)

x 100 % = 536.76%.5.93

Talcum powders =(29.14 - 14.97)

x 100 % = 94.66%.14.97

Shampoos = (12.21 - 7.88)x 100 % = 54.95% 55%.7.88

Conditioners =(10.19 - 5.01)

x 100 % = 103.39%.5.01

5. The sales of conditioners in 1995 was by what percent less than the sales of shampoos in1995? (rounded off to nearest integer)A.57% B.36%C.29% D.25%Answer & Explanation

Answer:Option B

Explanation:

Required percentage=(7.88 - 5.01)

x 100 %7.88

= 36.42%36%.


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Directions to Solve

A soft drink company prepares drinks of three different flavours - X, Y and Z. The production ofthree flavours over a period of six years has been expressed in the bar graph provided below.

Production of Three Different Flavours X, Y and Z by a Company over the years (in lakh bottles)

1. The total production of flovour Z in 1997 and 1998 is what percentage of the total productionof flavour X in 1995 and 1996?A.96.67% B.102.25%C.115.57% D.133.33%Answer & Explanation

Answer:Option D

Explanation:

Required percentage=(60 + 60)

x 100 %(50 + 40)

=120

x 100 %90

= 133.33%.

2. For which flavour was the average annual production maximum in the given period?A.X only B.Y onlyC.Z only D.X and YAnswer & Explanation

Answer:Option B


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Explanation:

Average annual productions over the given period for various flavours are:

For Flavour X =1x (50 + 40 + 55 + 45 + 60 + 50) = 50 lakh bottles.

6For Flavour Y =

1x (55 + 60 + 50 + 55 + 50 + 55) = 54.17 lakh bottles.

6

For Flavour Z =1x (45 + 50 + 60 + 60 + 45 + 40) = 50 lakh bottles.

6

Maximum average production is for Flavour Y.

3. What is the difference between the average production of flavour X in 1995, 1996 and 1997

and the average production of flavour Y in 1998, 1999 and 2000?A.50,000 bottles B.80,000 bottlesC.2,40,000 bottles D.5,00,000 bottlesAnswer & Explanation

Answer:Option D

Explanation:

Average production of flavour X in 1995, 1996 and 1997

= 1x (50 + 40 + 55)3

=145

lakh bottles.3

Average production of flavour Y in 1998, 1999 and 2000

=1x (55 + 50 + 55)

3

=160

lakh bottles.3

Difference = 160-1453 3

=153

= 5 lakh bottles= 5,00,000 bottles.

4. What was the approximate decline in the production of flavour Z in 2000 as compared to the


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production in 1998?A.50% B.42%C.33% D.25%Answer & Explanation

Answer:Option C

Explanation:

Percentage decline in the production of flavour Z in 2000 as compared to the production in1998

=(60 - 40)

x 100 %60

=20

x 100 %60

= 33.33%

33%.

5. For which of the following years the percentage of rise/fall in production from the previousyear is the maximum for the flavour Y?A.1996 B.1997C.1998 D.1999


Answer:Option B

Explanation:

The percentage rise/fall in production from the previous year for flavour Y during variousyears are:

In 1996 =(60 - 55)

x 100 % = 9.09% (increase)55

In 1997 = (60 - 50)x 100 % = 16.67% (decrease)60

In 1998 =(55 - 50)

x 100 % = 10% (increase)55

In 1999 =(55 - 50)

x 100 % = 9.09% (decrease)55

In 2000 =(55 - 50)

x 100 % = 10% (increase)50


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Maximum change is decrease of 16.67% during 1997.Directions to Solve

The bar graph given below shows the percentage distribution of the total production of a car

manufacturing company into various models over two years.

Percentage of Six different types of Cars manufactured by a Company over Two Years

1. What was the difference in the number of Q type cars produced in 2000 and that produced in2001?A.35,500 B.27,000C.22,500 D.17,500Answer & Explanation

Answer:Option A

Explanation:

Total number of Q type cars produced in 2001

=(60 - 40)% of 4,40,000 = 88,000.

Total number of Q type cars produced in 2000


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=(45 - 30)% of 3,50,000 = 52,500.

Required difference = (88000 - 52500) = 35,500.

2. Total number of cars of models P, Q and T manufactured in 2000 is?A.2,45,000 B.2,27,500C.2,10,000 D.1,92,500Answer & Explanation

Answer:Option C

Explanation:

Analysis of the graph:

We shall first determine the number of cars of each model produced by the Company duringthe two years:

In 2000 : Total number of cars produced = 3,50,000.

P = (30 - 0)% of 3,50,000 = 30% of 3,50,000 = 1,05,000.

Q = (45 - 30)% of 3,50,000 = 15% of 3,50,000 = 52,000.

R = (65 - 45)% of 3,50,000 = 20% of 3,50,000 = 70,000.

S = (75 - 65)% of 3,50,000 = 10% of 3,50,000 = 35,000.

T = (90 - 75)% of 3,50,000 = 15% of 3,50,000 = 52,000.

U = (100 - 90)% of 3,50,000 = 10% of 3,50,000 = 35,000.

In 2001 : Total number of cars produced = 4,40,000.

P = (40 - 0)% of 4,40,000 = 40% of 4,40,000 = 1,76,000.

Q = (60 - 40)% of 4,40,000 = 20% of 4,40,000 = 88,000.

R = (75 - 60)% of 4,40,000 = 15% of 4,40,000 = 66,000.

S = (85 - 75)% of 4,40,000 = 10% of 4,40,000 = 44,000.


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T = (95 - 85)% of 4,40,000 = 10% of 4,40,000 = 44,000.

U = (100 - 95)% of 4,40,000 = 5% of 4,40,000 = 22,000.

Total number of cars of models P, Q and T manufacture in 200

= (105000 + 52500 + 52500)

= 2,10,000.

3. If the percentage production of P type cars in 2001 was the same as that in 2000, then thenumber of P type cars produced in 2001 would have been?A.1,40,000 B.1,32,000

C.1,17,000 D.

1,05,000Answer & Explanation

Answer:Option B

Explanation:

If the percentage production of P type cars in 2001

= Percentage production of P type cars in 2000

= 30%.

then, number of P type cars produced in 2001

= 30% of 4,40,000

= 1,32,000.

4. If 85% of the S type cars produced in each year were sold by the company, how many S type

cars remain unsold?A.7650 B.9350C.11,850 D.12,250Answer & Explanation

Answer:Option C


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Explanation:

Number of S type cars which remained unsold in 2000 = 15% of 35,000

and number of S type cars which remained unsold in 2001 = 15% of 44,000.

Total number of S type cars which remained unsold

= 15% of (35,000 + 44,000)

= 15% of 79,000

= 11,850.

5. For which model the percentage rise/fall in production from 2000 to 2001 was minimum?A.Q B.RC.S D.TAnswer & Explanation

Answer:Option B

Explanation:

The percentage change (rise/fall) in production from 2000 to 2001 for various models is:

For P = (176000 - 105000)x 100 % = 67.62%, rise.105000

For Q =(88000 - 52500)

x 100 % = 67.62%, rise.52500

For R =(70000 - 66000)

x 100 % = 5.71%, fall.70000

For S =(44000 - 35000)

x 100 % = 25.71%, rise.35000

For T =(52500 - 44000)

x 100 % = 16.19%, fall.52500

For U =(35000 - 22000)

x 100 % = 37.14%, fall.35000

Minimum percentage rise/fall is production is the case of model R.Directions to Solve

The following bar graph shows the Income and Expenditures (in million US $) of five companiesin the year 2001. The percent profit or loss of a company is given by


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% Profit/Loss =Income - Expenditure

x 100Expenditure

Income and Expenditure (in million US $) of five companies in the year 2001.

1. The companies M and N together had a percentage of profit/loss of?A.12% loss B.10% lossC.10% profit D.There was no loss or profitAnswer & Explanation

Answer:Option D

Explanation:

Total income of Companies M and N together

= (35 + 50) million US $

= 85 million US $

Total expenditure of Companies M and N together

= (45 + 40) million US $

= 85 million US $.

Percent Profit/Loss of companies M and N together


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% Profit/Loss =85 - 85

x 100 = 0%.85

Thus, there was neither loss nor profit for companies M and N together.

2. In 2001, what was the approximate percentage of profit/loss of all the five Companies takentogether?A.5% profit B.6.5% profitC.4% loss D.7% lossAnswer & Explanation

Answer:Option A

Explanation:

Total income of all five companies

= (35 + 50 + 40 + 40 + 50) million US $

= 215 million US $.

Total expenditure of all five companies

= (45 + 40 + 45 + 30 + 45) million US $

= 205 million US $.

% Profit =(215 - 205)

x 100 % = 4.88% 5%.205

3. Which company earned the maximum percentage profit in the year 2001?A.M B.NC.P D.QAnswer & Explanation

Answer:Option D

Explanation:

The percentage profit/loss in the year 2001 for various comapanies are:

For M =(35 - 45)

x 100 % = -22.22% i.e., Loss = 22.22%.45

For N = (50 - 40)x 100 % = 25% i.e., Profit = 25%.


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40

For P =(40 - 45)

x 100 % = -11.11% i.e., Loss = 11.11%.45

For Q =(40 - 30)

x 100 % = 33.33% i.e., Profit = 33.33%.45

For R = (50 - 45)x 100 % = 11.11% i.e., Profit = 11.11%.45

Clearly, the Company Q earned the maximum profit in 2001.

4. For Company R, if the expenditure had increased by 20% in year 2001 from year 2000 and thecompany had earned profit of 10% in 2000, what was the Company's income in 2000 (inmillion US $)?A.35.75 B.37.25

C.38.5 D.

41.25Answer & Explanation

Answer:Option D

Explanation:

Let the expenditure of Company R in 2000 be xmillion US $.

Then, expenditure of Company R in 2001 =120

x x million US $.100

120x= 45 x= 37.5.100

i.e., expenditure of Company R in 2000 = 37.5 million US $.

Let the income of Company R in 2000 be I million US $.

Then, 10 =(I - 37.5)

x 100 [ %Profit in 2000 = 10%]37.5

I - 37.5 = 3.75

I = 41.25

i.e., Income of Company R in 2000 = 41.25 million US $.

5. If the income of Company Q in 2001 was 10% more than its income in 2000 and the Company


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had earned a profit of 20% in 2000, then its expenditure in 2000 (in million US $) was?A.28.28 B.30.30C.32.32 D.34.34Answer & Explanation

Answer:Option B

Explanation:

Let the income of Company Q in 2001 = xmillion US $.

Then, income of Company in 2001 =110

x x million US $.100

110x= 40 x=

400.

100 11

i.e., income of Company Q in 2000 =400

million US $.

11

Let the expenditure of Company Q in 2000 be E million US $.

Then, 20 =[(400/11) - E]

x 100 [ %Profit = 20% ]E

20 =400

- 1 x 10011E

E =400

x100

= 30.30.11 120

Expenditure of Company Q in 2000 = 30.30 million US $.Directions to Solve

Study the bar chart and answer the questions.

Sale of Cellular Phones


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1. The difference in the sales of cellular phones for the years 1997 and 1999 is ?A.500 units B.1,000 unitsC.5,000 units D.18,000 unitsAnswer & Explanation

Answer:Option D

Explanation:

The required answer is got by 48,000 - 30,000 = 18,000.

2. The two years between which the rate of change of cellular phones is minimum are ?

3. The sum of sales of cellular phones in the years 1999 and 2001 is equal to that in ?A.1997 B.1998C.2000 D.2002Answer & Explanation

Answer:Option A

Explanation:

The sum of sales in the two years is 30,000 + 18,000 = 48,000, which is the sales value for1997.

4. The percentage increases in sales from 2001 to 2002 was ?


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A.115 % B.128 %C.122 % D.118 %Answer & Explanation

Answer:Option C

Explanation:

The percentage increase exhibited is

((40 - 18)/18) x 100 = 122 % approximately.Directions to Solve

The following bar chart represents the GDP of different countries during the half decades 2001 -2005 and 2006 - 2010. All figures are in Rs. billion.

GDP of Various Countries

1. Which of the countries listed below accounts for the maximum GDP during the half decade

2006 to 2010 ?A.UAE B.USC.India D.ChinaAnswer & Explanation

Answer:Option B


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Explanation:

It's clear that US is the highest amongst the given options.

2. The GDP of UAE is what fraction of GDP of the UK for the decade (approximately) ?A.(1/4)th B.(1/5)thC.(1/6)th D.Data inadequateAnswer & Explanation

Answer:Option B

Explanation:

(10/50) = 20% = (1/5)th

3. Which of the countries listed below accounts for the highest GDP during the half decade 2001to 2005 ?A.Russia B.ChinaC.India D.UAEAnswer & Explanation

Answer:Option A

Explanation:

It's clear that Russia is the answer.

4. Out of every Rs. 10,000 spent during the decade 2001 - 2010 approximately how much wasthe GDP of Russia during the half decade 2001 - 2005 ?A.Rs. 700 B.Rs. 1,400C.Rs. 2,800 D.None of theseAnswer & Explanation

Answer:Option D

Explanation:

Russia will account for 10 out of 125, i.e, 8% of the total, i.e, 800 out of 10,000(approximately values based on visual interpretation).

Directions to Solve


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The following chart represents the number of students who passed the CAT exam or the XATexam or the CET exam or None of these exams. (Assume that there are no students who passedmore than one exam.)

Number of students who qualified CAT/XAT/CET Exams

1. Which year showed the best result in MBA entrance exams (in terms of percentage of studentswho cleared) ?A.2000 B.2001C.2002 D.Cannot be determinedAnswer & Explanation

Answer:Option B

Explanation:

Compare the respective pass percentage for three years : 2000, 2001 and 2002

= (140 x 100)/170 < (150 x 100)/180 and (150 x 100)/180 > (160 x 100)/200

= 82.35% < 83.33% and 83.33% > 80%

2. What was the percentage of students who succeeded in at least one of three exams in 2000 ?A.82.4 % B.82.8 %C.82.35 % D.83.3 %Answer & Explanation


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Answer:Option C

Explanation:

Total percentage of students who succeeded in at least one of three exams in 2000 = (140 x100)/170 = 82.35 %

3. What is the percentage increase in the number of students in 2002 over 2000 ?A.30 % B.17.64 %C.117.6 % D.85 %Answer & Explanation

Answer:Option B

Explanation:

Total percentage increase in the number of students in 2002 over 2000 is = (30 x 100)/170 =17.64 %

4. What is the percentage of students who cleared CAT in 2000 ?A.19.56 % B.12.65 %C.14.28 % D.11.76 %


Answer:Option D

Explanation:

Total percentage of students who cleared CAT in 2000 = (20 x 100)/170 = 11.76 %Directions to Solve

Study the following bar chart and answer the questions carefully.

Sales Turnover of 5 Companies (in Rs. crores)


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1. What is the percentage change in the overall sales turnover of the five companies togetherbetween 2001 - 2002 and 2002 - 2003 ?

A.17.21 % B.14.68 %C.12.67 % D.21.24 %Answer & Explanation

Answer:Option B

Explanation:

The required answer is

100 - percentage value of the fraction (Absolute change/first year's value).

2. What is the absolute change in overall sales turnover of the five companies together between2001 - 2002 and 2002 - 2003 ?A.712.43 B.142.48C.683.53 D.None of theseAnswer & Explanation

Answer:Option A

Explanation:

Absolute value of the difference between the sum of the turnover of the five companies for2001 - 2002 and 2002 - 2003.

3. Which of the companies shows the maximum percentage difference in sales turnover between


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the two years ?A.Honda B.GMC.Hyundai D.MarutiAnswer & Explanation

Answer:Option C

Explanation:

Hyundai with 25.25 % is marginally higher than Honda with 24.5 %.

4. What should have been the sales turnover of GM in 2002 - 2003 to have shown an excess ofthe same quantum over 2001 - 2002 as shown by the sales turnover of Maruti ?A.953.76 B.963.76

C.952.76 D.

962.76Answer & Explanation

Answer:Option D

Explanation:

GM should have increased its sales turnover by Rs.49.13 crore. Hence, the answer is 913.63 +49.13 = 962.76.

5. What is the approximate difference between the average sales turnover of all the companiesput together between the years 2001 - 2002 and 2002 - 2003 ?A.133.45 B.142.48C.117.6 D.None of theseAnswer & Explanation

Answer:Option B

Explanation:

Difference between the sum of the two years divided by 5.Charts> Bar Chart 16

Exercise

Bar Chart 1Bar Chart 2
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Bar Chart 3Bar Chart 4Bar Chart 5Bar Chart 6Bar Chart 7

Bar Chart 8Bar Chart 9Bar Chart 10Bar Chart 11Bar Chart 12Bar Chart 13Bar Chart 14Bar Chart 15

Bar Chart 16Bar Chart 17Bar Chart 18

Bar Chart 19

"It takes a very long time to become young."- Pablo PicassoDirections to Solve

The following chart shows the production of cars in thousands.

Production of Cars for 2002 - 2005 period from the Selected Manufacturers

1. How many companies have shown production below their average production in2002 - 2003, but have showed above the average production in 2003 - 2004 ?A.One B.TwoC.Three D.FourAnswer & Explanation
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Answer:Option C

Explanation:

Average sales of company:

Honda = (6 + 14 + 21)/3 = 13.66

GM = (12 + 18 + 18)/3 = 16

Maruti = (5 + 9 + 15)/3 = 9.66

Hindustan Motors= (16 + 9 + 12)/3 = 12.33

Hyundai = (8 + 14 + 7)/3 = 9.66

2. The ratio of Hindustan Motors production in 2003 - 2004 to Honda's production in2002 - 2003 is ?A.0.66 B.1.5C.2 D.None of theseAnswer & Explanation

Answer:Option B

Explanation:

The required ratio is (9/6) = 1.5.

3. For how many companies has there been no decrease in production in any year fromthe previous year ?A.One B.TwoC.Three D.FourAnswer & Explanation

Answer:Option C

Explanation:

By visual inspection we can say that Honda, GM and Maruti have not shown adecrease.

Directions to Solve


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The total of the first three deficit countries (in Rs. crores) = 3594.3. The total of next five deficitcountries (in Rs. crores) = 2588.5. The total of the last five deficit countries (in Rs. crores)

Cumulative Trade Deficit/Surplus of Countries for the Year 2006 - 2007 (All figures in Rs.Crores).

1. The ratio between the difference between the highest and the lowest of the surplus countries tothe difference between Bangladesh and Oman is ?A.3.44 B.2.96C.4.5 D.3.83Answer & Explanation

Answer:Option D

Explanation:

The required answer will be equal to 360/94 = 3.829.

2. The average of the total deficit of the middle five deficit is closest to the deficit of whichcountry ?

A.Korea B.

South AfricaC.UAE D.None of theseAnswer & Explanation

Answer:Option A

Explanation:


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The middle five deficit countries are India, New Zealand, South Africa, Korea and Namibia.

Their average deficit is (1946.6/5) = 389.32. Korea's deficit is close to this value.

3. The state whose surplus is nearly equal to the average of the four surplus countries isA.Sri Lanka B.UAEC.USA D.UKAnswer & Explanation

Answer:Option C

Explanation:

The average trade surplus of the four countries is 1860.4/4 = 465.1. Of the four options, USA

has the closest value.

4. The ratio of the deficit of the first five deficit countries to the overall deficit of all the deficitcountries is nearly equal to ?A.0.72 B.0.75C.0.80 D.0.85Answer & Explanation

Answer:Option B

Explanation:

The required answer is (4885.2/6517) = 0.7496

5. The net total deficit/surplus is equal to ?A.4656.6 surplus B.4656.6 deficitC.3836.5 deficit D.None of theseAnswer & Explanation

Answer:Option B

Explanation:

Adding all surpluses and subtracting all deficits will give an overall value of deficit of 4656.6.Directions to Solve


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Study the following bar charts and answer the questions.

Foreign Trade (Imports and Exports) by countries for the year (1993 - 1994)

1. The ratio of the maximum exports to the minimum imports was closest to ?A.64 B.69C.74 D.79Answer & Explanation

Answer:Option B


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Explanation:

The value of maximum exports = 6045.

The value of minimum imports = 87.

Therefore, the required ratio (6045/87) = 69.48 = 69 (approximately).

2. How many countries exhibited a trade surplus ?A.5 B.4C.3 D.6Answer & Explanation

Answer:Option B

Explanation:

Out of a total of 12 countries, 8 showed a deficit while 4 showed a surplus.

3. The total trade deficit/surplus for all the countries put together was ?A.11286 surplus B.11286 deficitC.10286 deficit D.None of theseAnswer & Explanation

Answer:Option B

Explanation:

Sum of exports - Sum of imports = deficit(11286).

4. The highest trade deficit was shown by which country ?A.C B.G

C.H D.

LAnswer & Explanation

Answer:Option D

Explanation:


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Visually its clear that L has the highest trade deficit.

5. The ratio of Exports to Imports was highest for which country ?

A.A B.

IC.J D.KAnswer & Explanation

Answer:Option B

Explanation:

I has a ratio of 4002/2744 = 1.45, which is the highest.Directions to Solve

The following bar chart shows the composition of the GDP two countries (India and Pakistan).

Composition of GDP of Two Countries

1. If the total GDP of Pakistan is Rs. 10,000 crore, then a GDP accounted for by Manufacturingis ?A.Rs.200 crore B.Rs.600 croreC.Rs.2,000 crore D.Rs.6,000 crore


Answer:Option C

Explanation:

20% of 10000 = 2000


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2. What fraction of India's GDP is accounted for by Services ?A.(6/33)th B.(1/5)thC.(2/3)rd D.None of these


Answer:Option B

Explanation:

Service accounts for 20%, i.e., (1/5)th of the GDP of India.

3. If the total GDP of India is Rs.30,000 crores, then the GDP accounted for by Agriculture,

Services and Miscellaneous is ?A.Rs.18,500 crore B.Rs.18,000 croreC.Rs.21,000 crore D.Rs.15,000 croreAnswer & Explanation

Answer:Option C

Explanation:

(40 + 20 + 10)% of 30,000 = Rs.21,000 crore.

4. Which country accounts for higher earning out of Services and Miscellaneous together ?A.India B.PakistanC.Both spend equal amounts D.Cannot be determinedAnswer & Explanation

Answer:Option D

Explanation:

Although the percentage on Services and Miscellaneous put together is equal for both thecountries, we cannot comment on this since we have no data about the respective GDP's.

5. If the total GDP is the same for both the countries, then what percentage is Pakistan's incomethrough agriculture over India's income through Services ?A.100 % B.200 %


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C.133.33 % D.None of theseAnswer & Explanation

Answer:Option A

Explanation:

Since the GDP is same, the answer will be got by (40 - 20)/20 = 100%.

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