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SREENIVASA INSTITUTE OF TECHNOLOGY AND
MANAGEMENT STUDIES
Murukambattu Post, Chittoor 517 127 (A.P)
AFFILIATED TO JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY
ANANTAPUR,
Name of the Module
PIE CHARTS & LINE GRAPHSBy
A.SUSMITHA,
EEE.
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MODULE OBJECTIVE:
Pie charts:
A pie chart (or a circle graph) is a circular chart divided into
sectors, illustratingproportion. In a pie chart, the arc length of
each sector (and consequently its centralangle and area), is
proportional to the quantity it represents. When angles are
measured with1 turn as unit then a number of percent is identified
with the same number of centiturns.Together, the sectors create a
full disk. It is named for its resemblance to a pie which hasbeen
sliced. The earliest known pie chart is generally credited to
William Playfair's StatisticalBreviary of 1801. Pie charts are
common in business and journalism.
Line graphs:
A line graph is a way of visually representing related data
where individual items of dataare plotted and joined by a line.
They are useful for presenting data over time to comparechanges to
a variable over set period. Joining up the points gives an instant
picture of pasttrends (increases or decreases) and can be used to
extrapolate those trends to makepredictions for future.
The variable represented is continuous.
A graph is set within 2 axes: x and y.
The axes will not always start measuring from zero. If they dont
this is called thesuppression of zero. This will affect the
appearance of the line(s) on the graph making themsteeper than they
would be if the scale started at zero and occupied the same space
as thescale would be smaller.
PREREQUISITES (RELATED FORMULAS):
In pie charts, from geometry, we know that the area the sector
of a circle must beproportional to the corresponding value of the
component.
Since the sum of all the central angle is 360, we have
Central angle of the component = {(value of the component/Total
value) x 360} .
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SOLVED EXAMPLES:PIE CHARTS:Example 1-5:The following pie-charts
show the distribution of students of graduate and
post-graduatelevels in seven different institutes in a town. [Bank
P.O. 2003]
Distribution of students at graduate and post-graduate levels in
seven institutes
1. What is the total number of graduate and post-graduate level
students is institute R?A. 8320 B. 7916C. 9116 D. 8099Answer:
(D)Required number = (17% of 27300) + (14% of 24700)
= 4641 + 3458= 8099.
2. What is the ratio between the number of students studying at
post-graduate and graduatelevels respectively from institute S?A.
14:19 B. 19:21C. 17:21 D. 19:14Answer: (D)
Required ratio =(21% of 24700)
=(21 x 24700)
=19
(14% of 27300) 14 x 27300 143. How many students of institutes
of M and S are studying at graduate level?A. 7516 B. 8463C. 9127 D.
9404Answer: (B)Students of institute M at graduate level= 17% of
27300 = 4641.Students of institute S at graduate level = 14% of
27300 = 3822.
Total number of students at graduate in institutes M and S =
(4641 + 3822)= 8463.
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4. What is the ratio between the number of students studying at
post-graduate level frominstitutes S and the number of students
studying at graduate level from institute Q?A. 13:19 B. 21:13C.
13:8 D. 19:13Answer: (D)
Required ratio =(21% of 24700)
=(21 x 24700)
=19
.(13% of 27300) 13 x 27300 13
5. Total number of students studying at post-graduate level from
institutes N and P isA. 5601 B. 5944C. 6669 D. 8372Answer:
(C)Required number = (15% of 24700) + (12% of 24700)
= 3705 + 2964= 6669.
Example 6-8:The following pie charts exhibit the distribution of
the overseas tourist traffic from India. Thetwo charts show the
tourist distribution by country and the age profiles of the
touristsrespectively. [NABARD, 2001]
Distribution of Overseas Tourist Traffic from India.
6. What percentage of Indian tourist went to either USA or
UK?A.40 % B.50 %C.60 % D.70 %Answer: (B)
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(40+10) = 50% (from first chart)7. The ratio of the number of
Indian tourists that went to USA to the number of Indiantourists
who were below 30 years of age is ?A.2:1 B.8:3C.3:8 D. cannot be
determinedAnswer: (B)40:15 = 8:38. If amongst other countries,
Switzerland accounted for 25% of the Indian tourist traffic, andit
is known from official Swiss records that a total of 25 lakh Indian
tourists had gone toSwitzerland during the year, then find the
number of 30-39 year old Indian tourists who wentabroad in that
year ?A. Rs.18.75 lakh B. Rs. 25 lakhC. Rs. 50 lakh D. Rs. 75
lakhAnswer: (D)Tourist traffic from other countries to Swiz is
20%.Amongst this 20%, 25% of traffic from India.So, 25% of 20% = 5%
corresponds to the Indian traffic in Switzerland.5 % corresponds to
Switzerland's 25 lakh. Hence 15% will be 75 lakh.
LINE GRAPHS:Example 9-13Two different finance companies declare
fixed annual rate of interest on the amounts investedwith them by
investors. The rate of interest offered by these companies may
differ from yearto year depending on the variation in the economy
of the country and the banks rate ofinterest. The annual rate of
interest offered by the two Companies P and Q over the years
isshown by the line graph provided below. [Bank P.O. 2003]Annual
Rate of Interest Offered by Two Finance Companies Over the
Years.
9. A sum of Rs. 4.75 lakhs was invested in Company Q in 1999 for
one year. How muchmore interest would have been earned if the sum
was invested in Company P?A.Rs 19,000 B.Rs.14, 250C.Rs.11, 750
D.Rs. 9,500Answer: (D)DIFFERENCE = Rs. [(10% of 4.75) - (8% of
4.75)]
= Rs. (2% of 4.75) lakhs= Rs. 0.095 lakhs= Rs. 9500.
10. If two different amounts in the ratio 8:9 are invested in
Companies P and Q respectivelyin 2002, then the amounts received
after one year as interests from Companies P and Q arerespectively
in the ratio?
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A.2:3 B. 3:4C.6:7 D. 4:3Answer: (D)Let the amounts invested in
2002 in Companies P and Q be Rs. 8x and Rs. 9xrespectively.Then,
interest received after one yearfrom Company P
= Rs. (6% of 8x)
=Rs.48
x.100
and interest received after one year fromCompany Q
= Rs. (4% of 9x)
=Rs.36
x.100
Required ratio =
48x
100=
4.
36x
100
3
11. In 2000, a part of Rs. 30 lakhs was invested in Company P
and the rest was invested inCompany Q for one year. The total
interest received was Rs. 2.43 lakhs. What was theamount invested
in Company P?A. Rs.9 lakh B. Rs.11 lakhC.Rs. 12 lakh D.Rs.18
lakhAnswer: (D)Let Rs. x lakhs be invested in Company P in 2000,
the amount invested in Company Q in2000 = Rs. (30 - x) lakhs.Total
interest received from the two Companies after 1 year
= Rs. [(7.5% of x) + {9% of (30 - x)}] lakhs
= Rs. 2.7 -1.5x
lakhs.100
2.7 -1.5x
= 2.43 x = 18.100
12. An investor invested a sum of Rs. 12 lakhs in Company P in
1998. The total amountreceived after one year was re-invested in
the same Company for one more year. The totalappreciation received
by the investor on his investment was?A. Rs. 2, 96,200 B. Rs. 2,
42,200C. Rs. 2, 25,600 D. Rs. 2, 16,000Answer: (C)Amount received
from Company P after one year (i.e., in 199) on investing Rs. 12
lakhs in it= Rs. [12 + (8% of 12)] lakhs= Rs. 12.96
lakhs.Appreciation received on investment during the period of two
years= Rs. (14.256 - 12) lakhs= Rs. 2.256 lakhs = Rs. 2,
25,600.
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13. An investor invested Rs. 5 lakhs in Company Q in 1996. After
one year, the entireamount along with the interest was transferred
as investment to Company P in 1997 for oneyear. What amount will be
received from Company P, by the investor?A. Rs. 5, 94,550 B. Rs. 5,
80,425C. Rs. 5, 77,800 D. Rs. 5, 77,500Answer: (B)Amount received
from Company Q after one year on investment of Rs. 5 lakhs in the
year1996= Rs. [5 + (6.5% of 5)] lakhs= Rs. 5.325 lakhs.Amount
received from Company P after one year on investment of Rs. 5.325
lakhs in theyear 1997= Rs. [5.325 + (9% of 5.325)] lakhs= Rs.
5.80425 lakhs= Rs. 5, 80, 425.Example: 14-19The following line
graph gives the annual percent profit earned by a Company during
theperiod 1995 - 2000. [R.B.I. 2003]Percent Profit Earned by a
Company over the Years.
%Profit =Income - Expenditure
x 100Expenditure
14. If the expenditures in 1996 and 1999 are equal, then the
approximate ratio of the incomein 1996 and 1999 respectively
is?A.1:1 B. 2:3C.13:14 D. 9:10Answer: (D)Let the expenditure in
1996 = x.Also, let the incomes in 1996 and 1999 be I1 and I2
respectively.
Then, for the year 1996, we have:
55 =I1 - x
x 10055
=I1
- 1 I1 =155x
... (i)x 100 x 100
70 =I2 - x
x 10070
=I2
- 1 I2 =170x
... (ii)x 100 x 100
From (i) and (ii), we get:
I1=
155x
100=
155 0.919 : 10.
I2 170x
100
170 1
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15. If the income in 1998 was Rs. 264 crores, what was the
expenditure in 1998?A. Rs. 104 crores B. Rs. 145 croresC. Rs. 160
crores D. Rs. 185 croresAnswer: (C)Let the expenditure is 1998 be
Rs. x crores.
Then, 65 =264 - x
x 100x
65=
264- 1
100 xx = 264 x 100 = 160.
165Expenditure in 1998 = Rs. 160 crores.
16. In which year is the expenditure minimum?A. 2000 B. 1997C.
1996 D. Cannot be determinedAnswer: (D)The line-graph gives the
comparison of percent profit for different years.But the comparison
of the expenditures is not possible without more data.Therefore,
the year with minimum expenditure cannot be determined.17. If the
profit in 1999 was Rs. 4 crores, what was the profit in 2000?A. Rs.
4.2 crores B. Rs. 6.2 croresC. Rs. 6.8 crores D. Cannot be
determinedAnswer: (D)From the line-graph we obtain information
about the percentage profit only. To find the profitin 2000 we must
have the data for the income or expenditure in 2000.Therefore, the
profit for 2000 cannot be determined.18. What is the average profit
earned for the given years?A. 50 2/3 B. 55 5/6C. 60 1/6 D. 33
5/3Answer: (B)Average percent profit earned for the given years
=1
x [40 + 55 + 45 + 65 + 70 + 60] =335
= 555.
6 6 6
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EXERCISE PROBLEMS:PIE CHARTS:Problem 1-3:The following pie chart
gives the information about the distribution of weight in the
humanbody according to different kinds of components. Study the pie
charts and answer thequestion.
Distribution of Weight in Human Body
1. What percentage of proteins of the human body is equivalent
to the weight of its skin?A. 41.66 % B. 43.33 %C. 44.44% D. Cannot
be determined2. How much of the human body is neither made of bones
or skin?A. 40 % B. 50 %C. 60 % D. 70 %3. What is the ratio of the
distribution of proteins in the muscles to that of the distribution
ofproteins in the bones?A. 2:1 B. 2:3C. 3:2 D. Cannot be
determinedProblem 4-6:The pie chart shows the distribution of New
York market share by value of differentcomputer companies in
2005.
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The pie chart shows the distribution of New York market share by
volume of differentcomputer companies in 2005.Number of units sold
in 2005 in New York = 1,500Value of units sold in 2005 in New York
= US $1,650,000.Distribution of New York market share by volume of
different computer companies in 2005.
4. For the year 2005, which company has realised the lowest
average unit sales price for aPC?A. Commodore B. IBMC. Tandy D.
Cannot be determined5. Over the period 2005-2006, if sales
(value-wise) of IBM PC's increased by 50% and ofApple by 15%
assuming that PC sales of all other computer companies remained the
same,by what percentage (approximately) would the PC sales in New
York (value-wise) increaseover the same period ?A. 16.1 % B. 18%C.
14 % D. None of these6. In 2005, the average unit sale price of an
IBM PC was approximately (in US$)A. 3180 B. 2800C. 393 D.
3080Problem 7-11:The following pie-chart shows the sources of funds
to be collected by the National HighwaysAuthority of India (NHAI)
for its Phase II projects. Study the pie-chart and answers
thequestion that follow.
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Sources of funds to be arranged by NHAI for Phase II projects
(in Rs.crores)
7. Nearly about 20% of the funds are to be arranged through:A.
SPVS B. External AssistanceC. Annuity D. Market Borrowing8. If NHAI
could receive a total of Rs. 9695 crores as External Assistance, by
what percent(approximately) should it increase the Market Borrowing
to arrange for the shortage offunds?A. 4.5 % B. 7.5 %C. 6 % D. 8
%9. If the toll is to be collected through an outsourced agency by
allowing a maximum 10%commission, how much amount should be
permitted to be collected by the outsourcedagency, so that the
project is supported with Rs. 4910 crores?A. Rs. 6213 crores B. Rs.
5827 croresC. Rs. 5401 crores D. Rs. 5316 crores10. The central
angle corresponding to Market Borrowing isA. 52 B. 137.8C. 187.2 D.
192.411. The approximate ratio of the funds to be arranged through
Toll and that through MarketBorrowing isA. 2:1 B. 1:6C. 3:11 D.
2:5Problem 12-15:The circle-graph given here shows the spending of
a country on various sports during aparticular year. Study the
graph carefully and answer the questions given below it.
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12. What percent of total spending is spent on Tennis?A.12 %
B.22 %C.25% D.45%13. How much percent more is spent on Hockey than
that on Golf?A.27 % B.37 %C.37.5 % D.75 %14. If the total amount
spent on sports during the year be Rs. 1,80,00,000 , the amount
spenton Basketball exceeds on Tennis by:A. Rs. 2, 50,000 B. Rs. 3,
60,000C.Rs.3, 75,000 D. Rs. 4, 10,00015. How much percent less is
spent on Football than that on Cricket?A. 22 2/9 % B.27 %C.33 1/3 %
D.37 1/7 %
Problem 16-25:The following pie-chart shows the percentage
distribution of the expenditure incurred inpublishing a book. Study
the pie-chart and the answer the questions based on it.
[Bank P.O. 2002]Various Expenditures (in percentage) Incurred in
Publishing a Book
16. If for a certain quantity of books, the publisher has to pay
Rs. 30,600 as printing cost, andthen what will be amount of royalty
to be paid for these books?A. Rs. 19, 450 B. Rs. 21, 200C. Rs. 22,
950 D. Rs. 26, 15017. What is the central angle of the sector
corresponding to the expenditure incurred onRoyalty ?A. 15 B. 24C.
54 D. 4818. The price of the book is marked 20% above the C.P. If
the marked price of the book is RsA. Rs. 36 B. Rs. 37.5C. Rs. 42 D.
Rs. 44.2519. If 5500 copies are published and the transportation
cost on them amounts to Rs. 82500,then what should be the selling
price of the book so that the publisher can earn a profit of25%?A.
Rs. 187.50 B. Rs. 191.5C. Rs. 175 D. Rs. 18020. Royalty on the book
is less than the printing cost by:A. 5% B. 33 1/5 %C.20 % D. 25
%
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21. If the difference between the two expenditures is
represented by 18 in the pie-chart, thenthese expenditures possibly
areA. Binding Cost and Promotion CostB. Paper Cost and RoyaltyC.
Binding Cost and Printing CostD. Paper Cost and Printing Cost22.
For an edition of 12,500 copies, the amount of Royalty paid by the
publisher is Rs. 2,81,250. What should be the selling price of the
book if the publisher desires a profit of 5%?A. Rs. 152.50 B. Rs.
157.50C. Rs. 162.50 D. Rs. 167.5023. If for an edition of the book,
the cost of paper is Rs. 56250, then find the promotion costfor
this edition.A. Rs. 20, 000 B. Rs. 22, 500C. Rs. 25, 500 D. Rs. 28,
12524. Which two expenditures together have central angle of 108?A.
Binding Cost and Transportation CostB. Printing cost and Paper
CostC. Royalty and Promotion CostD. Binding Cost and Paper Cost25.
What is the central angle of the sector corresponding to the
expenditure incurred onprinting cost?A. 15 B. 24C. 54 D.36
LINE GRAPHS:Problem 26-30: Study the following line graph and
answer the questions. [S.B.I. P.O.2000]
Exports from Three Companies over the Years (in Rs. crore)
26. For which of the following pairs of years the total exports
from the three Companiestogether are equal?A. 1995 and 1998 B. 1996
and 1998C. 1997 and 1998 D. 1995 and 199627. Average annual exports
during the given period for Company Y is approximately whatpercent
of the average annual exports for Company Z?A. 87.12 % B. 89.64
%C.91.21 % D. 93.33 %
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28. In which year was the difference between the exports from
Companies X and Y theminimum?A. 1994 B. 1995C. 1996 D. 199729. What
was the difference between the average exports of the three
Companies in 1993 andthe average exports in 1998?A. Rs. 15.33
crores B. Rs. 18.67 croresC. Rs. 20 crores D. Rs. 22.17 crores30.
In how many of the given years, were the exports from Company Z
more than the averageannual exports over the given years?A. 2 B.
3C. 4 D. 5Problem 31-35:The following line graph gives the ratio of
the amounts of imports by a company to theamount of exports from
that company over the period from 1995 to 2001. [S.B.I. P.O.
2001]
Ratio of Value of Imports to Exports by a Company over the
Years.
31. If the imports in 1998 were Rs. 250 crores and the total
exports in the years 1998 and1999 together was Rs. 500 crores, then
the imports in 1999 was?A. Rs. 250 crores B. Rs. 300 croresC. Rs.
357 crores D. Rs. 420 crores32. The imports were minimum
proportionate to the exports of the company in the year ?A. 1995 B.
1996C. 1997 D. 200033. What was the percentage increase in imports
from 1997 to 1998?A. 72 B. 56C. 28 D. Data inadequate34. If the
imports of the company in 1996 was Rs. 272 crores, the exports from
the companyin 1996 was?A. Rs. 370 crores B. Rs. 320 croresC. Rs.
280 crores D. Rs. 275 crores35. In how many of the given years were
the exports more than the imports?A. 1 B. 2C. 3 D. 4
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Problem 36-40:Study the following line graph and answer the
questions based on it. [R.B.I. 2003]
Number of Vehicles Manufactured by Two companies over the
Years(Number in Thousands)
36. What is the difference between the number of vehicles
manufactured by Company Y in2000 and 2001?A. 50, 000 B. 42, 000C.
33, 000 D. 21, 00037. What is the difference between the total
productions of the two Companies in the givenyears ?A. 19, 000 B.
22, 000C. 26, 000 D. 28, 00038. What is the average numbers of
vehicles manufactured by Company X over the givenperiod? (Rounded
off to nearest integer)A. 1, 19, 333 B. 1, 13, 666C. 1, 12, 778 D.
1, 11, 22339. In which of the following years, the difference
between the productions of Companies Xand Y was the maximum among
the given years?A. 1997 B. 1998C. 1999 D. 200040. The production of
Company Y in 2000 was approximately what percent of the
productionof Company X in the same year?A. 173 B. 164C. 132 D.
97Problem 41-45The following line graph gives the percent profit
earned by two Companies X and Y duringthe period 1996 - 2001.
[NABARD, 2002]Percentage profit earned by Two Companies X and Y
over the Given Years
%Profit =Income - Expenditure
x 100Expenditure
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41. The incomes of two Companies X and Y in 2000 were in the
ratio of 3:4 respectively.What was the respective ratio of their
expenditures in 2000?A. 7:22 B. 14:19C. 15:22 D. 27:3542. If the
expenditure of Company Y in 1997 was Rs. 220 crores, what was its
income in1997?A. Rs. 312 crores B. Rs. 297 croresC. Rs. 283 crores
D. Rs. 275 crores
43. If the expenditures of Company X and Y in 1996 were equal
and the total income of thetwo Companies in 1996 was Rs. 342
crores, what was the total profit of the two Companiestogether in
1996? (Profit = Income - Expenditure)A. Rs. 240 crores B. Rs. 171
croresC. Rs. 120 crores D. Rs. 102 crores44. The expenditure of
Company X in the year 1998 was Rs. 200 crores and the income
ofcompany X in 1998 was the same as its expenditure in 2001. The
income of Company X in2001 was?A. Rs. 465 crores B. Rs. 385
croresC. Rs. 335 crores D. Rs. 295 crores45. If the incomes of two
Companies were equal in 1999, then what was the ratio ofexpenditure
of Company X to that of Company Y in 1999?A. 6:5 B. 5:6C. 11:6 D.
16:15Problem 46-50The following line graph gives the percentage of
the number of candidates who qualified anexamination out of the
total number of candidates who appeared for the examination over
aperiod of seven years from 1994 to 2000.[Bank P.O. 2000]
Percentage of Candidates Qualified to Appeared in an Examination
overthe Years
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46. The difference between the percentages of candidates
qualified to appear was maximumin which of the following pairs of
years?A. 1994 and 1995 B. 1997 and 1998C. 1998 and 1999 D. 1999 and
200047. In which pair of years was the number of candidates
qualified the same?A. 1995 and 1997 B. 1995 and 2000C. 1998 and
1999 D. Data inadequate48. If the number of candidates qualified in
1998 was 21200, what was the number ofcandidates appeared in
1998?A. 32, 000 B. 28, 500C. 26, 500 D. 25, 00049. If the total
number of candidates appeared in 1996 and 1997 together was 47400,
then thetotal number of candidates qualified in these two years
together was?A. 34, 700 B. 32, 100C. 31, 500 D. Data inadequate50.
The total number of candidates qualified in 1999 and 2000 together
was 33500 and thenumber of candidates appeared in 1999 was 26500.
What was the number of candidates in2000?A. 24, 500 B. 22, 000C.
20, 500 D. 19, 000
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Solutions for exercise problems:1. Answer: (A)Total percentage =
(10 / 24) x 100 = 41.6666667 %2. Answer: (D)20 + 10 = 30% is made
up of either bones or skin. Hence, 70% is made up of neither.3.
Answer: (D)It cannot be determined since the respective
distributions are not known.4. Answer: (D)Although it seems to be
Commodore, the answer cannot be determined due to the fact that
weare unaware of the break-up of the sales value and volume of
companies compromising theother categories.5. Answer: (A)If we
assume the total sales to be 100 in the first year, IBM's sales
would go up by 50% (from28 to 42) contributing an increase of 14 to
the total sales value.Similarly, Apple's increase of 15% would
contribute an increase of 2.1 to the total salesvalue. The net
change would be 14 + 2.1 on 100. (i.e., 16.1%)6. Answer: (D)IBM
accounts for 28% of the share by value and 10% of the share by
volume.28% of 1650000 = 28 x 1650000/100 = 46200010% of 1500 = 10 x
1500/100 = 150Therefore, average unit sale price = 462000/150 =
3080.7. Answer: (B)20% of the total funds to be arranged = Rs. (20%
of 57600) crores
= Rs. 11520 croresRs. 11486 crores.
Rs. 11486 crores is the amount of funds to be arranged through
External Assistance.8. Answer: (C)Shortage of funds arrangedthrough
External Assistance
= Rs. (11486 - 9695) crores
= Rs. 1791 crores.Increase required in Market Borrowing = Rs.
1791 crores.
Percentage increase required =1791
x 100 % = 5.98% 6%.29952
9. Answer: (C)Amount permitted = (Funds required from Toll for
projects of Phase II) + (10% of
these funds)= Rs. 4910 crores + Rs. (10% of 4910) crores= Rs.
(4910 + 491) crores= Rs. 5401 crores.
10. Answer: (C)
Central angle corresponding to Market Borrowing =29952
x 360 = 187.257600
11. Answer: (B)
Required ratio =4910
=1 1
.29952 6.1 6
12. Answer: (A)
Percentage of money spend on Tennis =45
x 100 % = 121
360 2
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13. Answer: (D)Let the total spending on sports be Rs. x.
Then,
Amount spent on Golf = Rs.36
x x = Rs.x
.360 10
Amount spent on Hockey = Rs63
x x = Rs.7x
.360 40
Difference = Rs.7x
-x
= Rs3x
.40 10 40
Required percentage = Rs.3x/40
x 100 % = 75%.x/10
14. Answer: (A)Amount spent on Basketball exceeds that on Tennis
by:
Rs. [(50 - 45)
x 1,80,00,000] = Rs. 2, 50,000.360
15. Answer: (C)Let the total spending on sports be Rs. x.
Then,
Amount spent on Cricket = Rs.81
x x = Rs.9x
.360 40
Amount spent on Football = Rs54
x x = Rs.3x
.360 20
Difference = Rs.9x
-3x
= Rs3x
.40 20 40
Required percentage = Rs.3x/40
x 100 % = 331
%.9x/40 3
16. Answer: (C)Let the amount of Royalty to be paid for these
books be Rs. r.
Then, 20 : 15 = 30600 : r r = Rs.30600 x 15
= Rs. 22,950.20
17. Answer: (C)Central angle corresponding to Royalty = (15% of
360)
=15
x 360
100
= 54.
18. Answer: (B)Clearly, marked price of the book = 120% of
C.P.Also, cost of paper = 25% of C.PLet the cost of paper for a
single book be Rs. n.
Then, 120 : 25 = 180 : n n = Rs.25 x 180
= Rs. 37.50 .120
19. Answer: (A)For the publisher to earn a profit of 25%, S.P. =
125% of C.P.Also Transportation Cost = 10% of C.P.
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 20
Let the S.P. of 5500 books be Rs. x.
Then, 10 : 125 = 82500 : x x = Rs.125 x 82500
= Rs. 1031250.10
S.P. of one book = Rs.1031250
= Rs. 187.50 .5500
20. Answer: (D)Printing Cost of book = 20% of C.P.Royalty on
book = 15% of C.P.Difference = (20% of C.P.) - (15% of C.P) = 5% of
C.P.
Percentage difference =Difference
x100
%PrintingCost
=5% of C.P.
x100
% = 25%.PrintingCost
21. Answer: (D)Central angle of18 =
18x100 % of the total expenditure
360= 5% of the total expenditure.
From the given chart it is clear that:Out of the given
combinations, only in combination (d) the difference is 5%
i.e.Paper Cost - Printing Cost = (25% - 20%) of the total
expenditure
= 5% of the total expenditure.22. Answer: (B)Clearly, S.P. of
the book = 105% of C.P.Clearly, S.P. of the book = 105% of C.P.
Then, 15 : 105 = 281250 : x x = Rs.105 x 281250
= Rs. 1968750.15
S.P. of one book = Rs.1968750
= Rs. 157.50 .12500
23. Answer: (B)Let the Promotion Cost for this edition be Rs.
p.
Then, 25 : 10 = 56250 : p p = Rs.56250 x 10
= Rs. 22,500.25
24. Answer: (A)
Central angle of 108 =108
x 100 % of the total expenditure360
= 30% of the total expenditure.From the pie chart it is clear
that:Binding Cost + Transportation Cost = (20% + 10%) of the total
expenditure
= 30% of the total expenditure.Binding Cost and Transportation
Cost together have a central angle of 108.
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 21
25. Answer: (D)Central angle corresponding to Royalty = (10% of
360)
=10
x 360
100
= 36.
26. Answer: (D)Total exports of the three Companies X, Y and Z
together, during various years are:In 1993 = Rs. (30 + 80 + 60)
crores = Rs. 170 crores.In 1994 = Rs. (60 + 40 + 90) crores = Rs.
190 crores.In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.In
1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.In 1997 = Rs.
(100 + 80 + 60) crores = Rs. 240 crores.In 1998 = Rs. (50 + 100 +
80) crores = Rs. 230 crores.In 1999 = Rs. (120 + 140 + 100) crores
= Rs. 360 crores.Clearly, the total exports of the three Companies
X, Y and Z together are same during theyears 1995 and 1996.27.
Answer: (D)1. The amount of exports of Company X (in crore Rs.) in
the years 1993, 1994, 1995,1996, 1997, 1998 and 1999 are 30, 60,
40, 70, 100, 50 and 120 respectively.2. The amount of exports of
Company Y (in crore Rs.) in the years 1993, 1994, 1995,1996, 1997,
1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.3.
The amount of exports of Company Z (in crore Rs.) in the years
1993, 1994, 1995,1996, 1997, 1998 and 1999 are 60, 90,, 120, 90,
60, 80 and 100 respectively.Average annual exports (in Rs. crore)
of Company Y during the given period
=1
x (80 + 40 + 60 + 60 + 80 + 100 + 140) =560
= 80.7 7
Average annual exports (in Rs. crore) of Company Z during the
given period
=1
x (60 + 90 + 120 + 90 + 60 + 80 + 100) =600
.7 7
Required percentage =
80
x 100 % 93.33%.600
728. Answer: (C)The difference between the exports from the
Companies X and Y during the various yearsare:In 1993 = Rs. (80 -
30) crores = Rs. 50 crores.In 1994 = Rs. (60 - 40) crores = Rs. 20
crores.In 1995 = Rs. (60 - 40) crores = Rs. 20 crores.In 1996 = Rs.
(70 - 60) crores = Rs. 10 crores.In 1997 = Rs. (100 - 80) crores =
Rs. 20 crores.In 1998 = Rs. (100 - 50) crores = Rs. 50 crores.In
1999 = Rs. (140 - 120) crores = Rs. 20 crores.Clearly, the
difference is minimum in the year 1996.29. Answer: (C)Average
exports of the three Companies X, Y and Z in 1993
= Rs. 1 x (30 + 80 + 60) crores = Rs. 170 crores.
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 22
3 3Average exports of the three Companies X, Y and Z in 1998
= Rs.1
x (50 + 100 + 80) crores = Rs.230
crores.3 3
Difference = Rs.230
-170
crores3 3
= Rs.60
crores3
= Rs. 20 crores.
30. Answer: (C)Average annual exports of Company Z during the
given period
=1
x (60 + 90 + 120 + 90 + 60 + 80 + 100)7
= Rs.600
crores7
= Rs. 85.71 crores.From the analysis of graph the exports of
Company Z are more than the average annualexports of Company Z
(i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and
1999,i.e., during 4 of the given years.31. Answer: (D)The ratio of
imports to exports for the years 1998 and 1999 are 1.25 and 1.40
respectively.Let the exports in the year 1998 = Rs. x crores.Then,
the exports in the year 1999 = Rs. (500 - x) crores.
1.25 =250
x =250
= 200 [Using ratio for 1998]x 1.25
Thus, the exports in the year 1999 = Rs. (500 - 200) crores =
Rs. 300 crores.Let the imports in the year 1999 = Rs. y crores.
Then, 1.40 =y
y = (300 x 1.40) = 420.300
Imports in the year 1999 = Rs. 420 crores.32. Answer: (C)The
imports are minimum proportionate to the exports implies that the
ratio of the value ofimports to exports has the minimum value.Now,
this ratio has a minimum value 0.35 in 1997, i.e., the imports are
minimumproportionate to the exports in 1997.33. Answer: (D)The
graph gives only the ratio of imports to exports for different
years. To find thepercentage increase in imports from 1997 to 1998,
we require more details such as the valueof imports or exports
during these years.Hence, the data is inadequate to answer this
question.34. Answer: (B)Ratio of imports to exports in the year
1996 = 0.85.Let the exports in 1996 = Rs. x crores.
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 23
Then,272
= 0.85 x =272
= 320.x 0.85
Exports in 1996 = Rs. 320 crores.35. Answer: (D)The exports are
more than the imports imply that the ratio of value of imports to
exports isless than 1.Now, this ratio is less than 1 in years 1995,
1996, 1997 and 2000.Thus, there are four such years.36. Answer:
(D)Required difference = (128000 - 107000) = 21000.37. Answer:
(C)From the line-graph it is clear that the productions of Company
X in the years 1997, 1998,1999, 2000, 2001 and 2002 are 119000,
99000, 141000, 78000, 120000 and 159000 andthose of Company Y are
139000, 120000,100000, 128000, 107000 and 148000 respectively.Total
production of Company X from 1997 to 2002
= 119000 + 99000 + 141000 + 78000 + 120000 + 159000= 716000.
and total production of Company Y from 1997 to 2002= 139000 +
120000 + 100000 + 128000 + 107000 + 148000= 742000.
Difference = (742000 - 716000) = 26000.38. Answer: (A)Average
number of vehicles manufactured by Company X
=1
x (119000 + 99000 + 141000 + 78000 + 120000 + 159000)6
= 119333.39. Answer: (D)The difference between the productions
of Companies X and Y in various years is:For 1997 (139000 - 119000)
= 20000.For 1998 (120000 - 99000) = 21000.For 1999 (141000 -
100000) = 41000.For 2000 (128000 - 78000) = 50000.For 2001 (120000
- 107000) = 13000.For 2002 (159000 - 148000) = 11000.Clearly,
maximum difference was in 2000.40. Answer: (B)
Required percentage =128000
x 100 % 164%.78000
41. Answer: (C)Let the incomes in 2000 of Companies X and Y be
3x and 4x respectively.And let the expenditures in 2000 of
Companies X and Y be E1 and E2 respectively.Then, for Company X we
have:
65 =3x - E1
x 10065
=3x
- 1 E1 = 3x x100
.... (i)E1 100 E1 165
For Company Y we have:
50 =4x - E2
x 10050
=4x
- 1 E2 = 4x x100
.... (ii)E2 100 E2 150
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 24
From (i) and (ii), we get:
E1=
3x x100
165=
3 x 150=
15(Required ratio).
E24x x
100
150
4 x 165 22
42. Answer: (B)Profit percent of Company Y in 1997 = 35.Let the
income of Company Y in 1997 be Rs. x crores.
Then, 35 =x - 220
x 100 x = 297.220
Income of Company Y in 1997 = Rs. 297 crores.43. Answer: (D)Let
the expenditures of each companies X and Y in 1996 be Rs. x
crores.And let the income of Company X in 1996 be Rs. z crores.So
that the income of Company Y in 1996 = Rs. (342 - z) crores.Then,
for Company X we have:
40 =z - x
x 10040
=z
- 1 x =100z
.... (i)x 100 x 140
Also, for Company Y we have:
45 =(342 - z)
x 10045
=(342 - z)
- 1 x =(342 - z) x 100
.... (ii)x 100 x 145
From (i) and (ii), we get:100z
=(342 - z) x 100
z = 168.140 145Substituting z = 168 in (i), we get : x =
120.
Total expenditure of Companies X and Y in 1996 = 2x = Rs. 240
crores.Total income of Companies X and Y in 1996 = Rs. 342
crores.
Total profit = Rs. (342 - 240) crores = Rs. 102 crores.44.
Answer: (A)Let the income of Company X in 1998 be Rs. x crores.
Then, 55 =x - 200
x 100 x = 310.200
Expenditure of Company X in 2001 = Income of Company X in
1998
= Rs. 310 crores.
Let the income of Company X in 2001 be Rs. z crores.
Then, 50 =z - 310
x 100 z = 465.310
Income of Company X in 2001 = Rs. 465 crores.45. Answer: (D)Let
the incomes of each of the two Companies X and Y in 1999 be Rs.
x.And let the expenditures of Companies X and Y in 1999 be E1 and
E2 respectively.Then, for Company X we have:
50 =x - E1
x 10050
=x
- 1 x =150
E1 .... (i)E1 100 E1 100
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 25
Also, for Company Y we have:
60 =x - E2
x 10060
=x
- 1 x =160
E2 .... (ii)E2 100 E2 100
46. Answer: (B)The differences between the percentages of
candidates qualified to appeared for the give pairsof years are:For
1994 and 1995 = 50 - 30 = 20.For 1998 and 1999 = 80 - 80 = 0.For
1994 and 1997 = 50 - 30 = 20.For 1997 and 1998 = 80 - 50 = 30.For
1999 and 2000 = 80 - 60 = 20.Thus, the maximum difference is
between the years 1997 and 1998.47. Answer: (D)The graph gives the
data for the percentage of candidates qualified to appeared and
unless theabsolute values of number of candidates qualified or
candidates appeared is know we cannotcompare the absolute values
for any two years.Hence, the data is inadequate to solve this
question.48. Answer: (C)The number of candidates appeared in 1998
be x.
Then, 80% of x = 21200 x =21200 x 100
= 26500 (required number).80
49. Answer: (D)The total number of candidates qualified in 1996
and 1997 together, cannot be determineduntil we know at least, the
number of candidates appeared in any one of the two years 1996or
1997 or the percentage of candidates qualified to appeared in 1996
and 1997 together.Hence, the data is inadequate.50. Answer: (C)The
number of candidates qualified in 1999 = (80% of 26500) =
21200.
Number of candidates qualified in 2000 = ( 33500 - 21200 ) =
12300.Let the number of candidates appeared in 2000 be x.
Then, 60% of x = 12300 x =12300 x 100
= 20500.60
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 26
QUESTION BANK FOR MOCK
TEST
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 27
PIE CHARTS:QUESTION 1-4Study the following pie-chart and the
table and answer the questions based on them.
Proportion of Population of Seven Villages in 1997
Village % Population Below Poverty Line
X 38
Y 52
Z 42
R 51
S 49
T 46
V 58
1. If the population of village R in 1997 is 32000, then what
will be the population of villageY below poverty line in that
year?A. 14100 B. 15600C. 16500 D. 170002. The ratio of population
of village T below poverty line to that of village Z below
povertyline in 1997 is:A.11:23 B. 13:11C. 23:11 D. 11:133. Find the
population of village S if the population of village X below
poverty line in 1997 is12160.A. 18, 500 B. 20, 500C. 22, 000 D. 26,
0004. If in 1998, the population of villages Y and V increase by
10% each and the percentage ofpopulation below poverty line remains
unchanged for all the villages, then find the populationof village
V below poverty line in 1998, given that the population of village
in 1997 was30000.A. 11, 250 B. 12, 760C. 13, 140 D. 13, 780QUESTION
5-10The following pie chart shows the amount of subscriptions
generated for India Bonds fromdifferent categories of
investors.
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 28
Subscriptions Generated for India Bonds
5. In the corporate sector, approximately how many degrees
should be there in the centralangle ?A. 120 B. 121C. 122 D. 1236.
If the investment by NRI's are Rs 4,000 crore, then the investments
by corporate housesand FII's together is:A. 24, 000 crore B. 24,
363 croreC. 25, 423 crore D. 25, 643 crore7. What percentage of the
total investment is coming from FII's and NRI's ?A. 33 % B. 11 %C.
44 % D. 22 %8. If the total investment other than by FII and
corporate houses is Rs 335,000 crore, then theinvestment by NRI's
and Offshore funds will be (approximately) ?A. 27, 4100 B. 28,
5600C. 29, 300 D. Cannot be determined9. If the total investment
flows from FII's were to be doubled in the next year and
theinvestment flows from all other sources had remained constant at
their existing levels for thisyear, then what would be the
proportion of FII investment in the total investment into
IndiaBonds next year (in US $ millions) ?A. 40 % B. 50 %C. 60 % D.
70 %10. What is the approximate ratio of investment flows into
India Bonds from NRI's tocorporate houses?A.1:4 B. 1:3C. 3:1 D.
cannot be determinedQUESTION 11-15Study the following pie-diagrams
carefully and answer the questions given below it:
Percentage Composition of Human Body
-
REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 29
11. What percent of the total weight of human body is equivalent
to the weight of the proteinsin skin in human body?A. 0.016 % B.
1.6 %C. 0.16 % D. Data inadequate12. What will be the quantity of
water in the body of a person weighing 50 kg?A. 25 Kg B. 35 KgC. 41
Kg D. 42.5 Kg13. What is the ratio of the distribution of proteins
in the muscles to that of the distribution ofproteins in the
bones?A.1:18 B. 1:2C. 2:1 D. 18:114. To show the distribution of
proteins and other dry elements in the human body, the arc ofthe
circle should subtend at the centre an angle of:A.54 B. 126C. 108
D. 25215. In the human body, what part is made of neither bones nor
skin?A.1/40 B. 2/80C. 3/5 D. None of theseQUESTIONS 16-20Study the
following graph and the table and answer the questions given
below.
Data of different states regarding population of states in the
year 1998
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 30
Total population of the given States = 3276000.
States
Sex and Literacy wise Population Ratio
Sex Literacy
M F Literate Illiterate
A.P 5 3 2 7
M.P 3 1 1 4
Delhi 2 3 2 1
Goa 3 5 3 2
Bihar 3 4 4 1
U.P. 3 2 7 2
T.N. 3 4 9 4
16. What will be the percentage of total number of males in
U.P., M.P. and Goa together tothe total population of all the given
states?A. 25 % B. 27.5 %C. 28.5 % D. 31.5 %17. What was the total
number of illiterate people in A.P. and M.P. in 1998?A. 8, 76, 040
B. 9, 32,170C. 9, 81, 550 D. 11, 61, 16018. What is the ratio of
the number of females in T.N. to the number of females in
Delhi?A.7:5 B. 9:7C. 13:11 D. 15:1419. What was the number of males
in U.P. in the year 1998?A. 2, 54, 650 B. 2, 94,840C. 3, 21, 470 D.
3, 41, 20020. If in the year 1998, there was an increase of 10% in
the population of U.P. and 12% in thepopulation of M.P. compared to
the previous year, and then what was the ratio of populationsof
U.P. and M.P. in 1997?A.42:55 B. 48:55C. 7:11 D. 4:5QUESTIONS
20-25The circle graph given here shows the spending of a country on
various sports during aparticular year. Study the graph carefully
and answer the questions given below it.
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 31
1 Golf 362 Tennis 453 Basketball 504 Cricket 815 Hockey 636
Football 547 Others 31
21. What percent of the total spending is spent on Tennis?A. 12
1/2 % B. 22 1/2 %C. 45% D. 25 %22. How much percent more is spent
on Hockey than that of Golf?A. 27 % B. 35 %C. 37.5 % D. 75 %23. How
much percent less is spent on Football than that on Cricket?A. 22
2/9 % B. 27 %C. 37 1/2 % D. 33 1/3 %24. If the total amount spent
on sports during the year was Rs. 2 crores, the amount spent
onCricket and Hockey together was:A. Rs. 8, 00, 000 B. Rs. 80, 00,
000C. Rs. 1, 20, 00, 000 D. Rs. 1, 60, 00, 00025. If the total
amount spent on sports during the year be Rs. 1, 80, 00, 000, the
amount spenton Basketball exceeds that on Tennis by:A. Rs. 82, 50,
000 B. Rs. 3, 60, 000C. Rs. 3, 75, 000 D. Rs. 4, 10, 000
LINE GRAPHS:QUESTIONS 26-30Answer the questions based on the
given line graph. [R.B.I. 2003]Ratio of Exports to Imports (in
terms of money in Rs. crores) of Two Companies Overthe Years
26. In how many of the given years were the exports more than
the imports for Company A?
1
5
32
6
7
1
4
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 32
A. 2 B. 3C .4 D. 527. If the imports of Company A in 1997 were
increased by 40 percent, what would be theratio of exports to the
increased imports?A. 1.20 B. 1.25C. 1.30 D. cannot be determined28.
If the exports of Company A in 1998 were Rs. 237 crores, what was
the amount ofimports in that year?A. Rs. 189.6 crore B. Rs. 243
croreC. Rs. 281 crore D. Rs. 316 crore29. In 1995, the export of
Company A was double that of Company B. If the imports ofCompany A
during the year was Rs. 180 crores, what was the approximate amount
of importsof Company B during that year?
A. Rs. 190 crore B. Rs. 210 croreC. Rs. 225 crore D. Cannot be
determined30. In which year(s) was the difference between impors
and exports of Company B themaximum?A. 2000 B. 1996C. 1998 &
2000 D. Cannot be determinedQUESTIONS 31-35Study the following line
graph which gives the number of students who joined and left
theschool in the beginning of year for six years, from 1996 to
2001. [S.B.I. P.O. 2001]Initial Strength of school in 1995 =
3000.
31. The number of students studying in the school during 1999
was?A. 2950 B. 3000C. 3100 D. 315032. For which year, the
percentage rise/fall in the number of students who left the
schoolcompared to the previous year is maximum?A. 1997 B. 1998C.
1999 D. 2000
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 33
33. The strength of school increased/decreased from 1997 to 1998
by approximately whatpercent?A. 1.2 % B. 1.7 %C. 2.1 % D. 2.4 %34.
The number of students studying in the school in 1998 was what
percent of the number ofstudents studying in the school in 2001?A.
92.13 % B. 93.75 %C. 96.88 % D. 97.25 %35. The ratio of the least
number of students who joined the school to the maximum numberof
students who left the school in any of the years during the given
period is?A. 7:9 B. 4:5C. 3:4 D. 2:3QUESTIONS 36-40In a school the
periodical examination are held every second month. In a session
duringApril 2001 - March 2002, a student of Class IX appeared for
each of the periodicalexams. The aggregate marks obtained by him in
each periodical exam are represented inthe line-graph given below.
[S.B.I. P.O. 2003]Marks Obtained by student in Six Periodical Held
in Every Two Months Duringthe Year in the Session 2001 -
2002.Maximum Total Marks in each Periodical Exam = 500
36. In which periodical exams did the student obtain the highest
percentage increase in marksover the previous periodical exams?A.
June, 01 B. August, 01C. Oct, 01 D. Dec, 0137. The total number of
marks obtained in Feb. 02 is what percent of the total marks
obtainedin April 01?A. 110 % B. 112.5 %C. 115 % D. 116.5 %38. What
is the percentage of marks obtained by the student in the
periodical exams ofAugust, 01 and Oct, 01 taken together?A. 73.25 %
B. 75.5 %C. 77 % D. 78.75 %39. What are the average marks obtained
by the student in all the periodical exams during thelast
session?A. 373 B. 379C. 381 D. 385
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 34
40. In which periodical exams there is a fall in percentage of
marks as compared to theprevious periodical exams?A. None B. June,
01C. Oct, 01 D. Feb, 02QUESTIONS 41-43:Velocity-time graph
Consider the motion of the object whose velocity-time graph is
given in the diagram.41. What is the acceleration of the object
between times t=0 and t=2?A. 4 m/s B. 6 m/sC. -4 m/s D. -6 m/s42.
What is the acceleration of the object between times t=0 and
t=12?A. 2 m/s B. -2 m/sC. 4 m/s D. -4 m/s43. What is the net
displacement of the object between times t=0 and t=16?A. 200m B.
400mC. 100m D. 50mQUESTIONS 44-50Study the following line graphs
which gives the number of students who joined and left theschool in
beginning of year for six years, from 1-6.Initial strength of
school in 1995 = 3000The questions given below the graph are based
on this line graphs
1 2
0
100
200
300
400
500
600
NU
MBE
R O
F ST
UDE
NTS
Number of students who joined the school
REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 34
40. In which periodical exams there is a fall in percentage of
marks as compared to theprevious periodical exams?A. None B. June,
01C. Oct, 01 D. Feb, 02QUESTIONS 41-43:Velocity-time graph
Consider the motion of the object whose velocity-time graph is
given in the diagram.41. What is the acceleration of the object
between times t=0 and t=2?A. 4 m/s B. 6 m/sC. -4 m/s D. -6 m/s42.
What is the acceleration of the object between times t=0 and
t=12?A. 2 m/s B. -2 m/sC. 4 m/s D. -4 m/s43. What is the net
displacement of the object between times t=0 and t=16?A. 200m B.
400mC. 100m D. 50mQUESTIONS 44-50Study the following line graphs
which gives the number of students who joined and left theschool in
beginning of year for six years, from 1-6.Initial strength of
school in 1995 = 3000The questions given below the graph are based
on this line graphs
3 4 5 6
YEAR
Number of students who joined the school
REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 34
40. In which periodical exams there is a fall in percentage of
marks as compared to theprevious periodical exams?A. None B. June,
01C. Oct, 01 D. Feb, 02QUESTIONS 41-43:Velocity-time graph
Consider the motion of the object whose velocity-time graph is
given in the diagram.41. What is the acceleration of the object
between times t=0 and t=2?A. 4 m/s B. 6 m/sC. -4 m/s D. -6 m/s42.
What is the acceleration of the object between times t=0 and
t=12?A. 2 m/s B. -2 m/sC. 4 m/s D. -4 m/s43. What is the net
displacement of the object between times t=0 and t=16?A. 200m B.
400mC. 100m D. 50mQUESTIONS 44-50Study the following line graphs
which gives the number of students who joined and left theschool in
beginning of year for six years, from 1-6.Initial strength of
school in 1995 = 3000The questions given below the graph are based
on this line graphs
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 35
44. The strength of the school increased/decreased from 2-3 year
by approximately whatpercent?A. 1.2 % B. 1.7 %C. 2.1 % D. 2.4 %45.
The number of students studying in the school during 4 th year?A.
2950 B. 3000C. 3100 D. 315046. During which of the following pairs
of years, the strength of the school was same?A. 4 & 6 B. 5
& 3C. 2 & 3 D. 1 & 547. The number of students studying
in the school in 3 rd year was what percent of number ofstudents
studying in the school in 7 th year?A. 92.13 % B. 93.75 %C. 96.88 %
D. 97.2548. Among the given years, the largest number of students
joined the school in the year:A. 1 B. 3C. 4 D. 749. For which year,
the percentage rise/fall in the number of students who left the
schoolcompared to the previous year is maximum?A. 2 B. 3C. 4 D.
550. The ratio of the least number of students who joined the
school to the maximum numberof students who left the school in any
of the years during the given period?A. 7:9 B. 4:5C. 3:4 D. 2:3
1 2 3 4 5 6
0100200300400500600
YEAR
NU
MBE
R O
F ST
UDE
NTS
Number of students who left the school
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REASONING COURSE Pie Charts & Line Graphs
SITAMS Page 36
Answers for Mock Test :
1.B 2.C 3.C 4.B 5.C6.B 7.C 8.A 9.B 10.B11.B 12.B 13.C 14.C
15.D16.C 17.D 18.D 19.B 20.A21.A 22.D 23.C 24.B 25.A26.B 27.B 28.D
29.B 30.D31.D 32.A 33.B 34.B 35.D36.C 37.B 38.B 39.C 40.A41.A 42.B
43.C 44.B 45.D46.D 47B. 48.D 49.A 50.D