2015-05-04_090623_DI

2015 www.bankking.in

By- Team Bank King

[DATA INTERPRETATION-1] This booklet have Tips and tutorials for PIE CHART and TABLES for upcoming SBI-PO and IBPS EXAMS

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DATA INTERPRETATION TUTORIAL : PIE CHART AND TABLES

1.PIE CHART

Pie charts are specific types of data presentation where the data is represented in the form of a circle. In a pie chart, a circle is divided into various sections or segments such that each sector or segment represents a certain proportion or percentage of the total. In such a diagram, the total of all the given items is equated to 360 degrees and the degrees of angles, representing different items, are calculated proportionately. The entire diagram looks like a pie and its components resemble slices cut from a pie. The pie chart is used to show the break-up of one continuous variable into its component parts.

TIPS FOR SOLVING PIE-CHART

1. Start with the heading.

It tells you exactly what youre looking at, yet its amazing how many students skip the title of

the chart and the labels and go straight to the question-stem! Really slow down and examine

every tiny piece of writing on and around the pie chart fully before reading the question.

Whats the biggest slice? The smallest slice? How many slices total? What does each slice

represent? What can be readily inferred? Make sure there isnt any additional information

printed below the chart that may be required to solve.

2. Dont confuse percents with numbers!

The pie chart may display numbers in each slice (17..1935, etc.) but these may or may not

be percentages. Look for the % symbol, or a note somewhere at the bottom of the pie chart

that explains what the numbers actually refer to a percent is always a fraction of 100, while a

real-world number is always a fraction of a real-world total.

3. Round numbers up or down to make the math easier.

Just like in other SAT math questions, the answer choices may be far enough apart so that it is

somewhat easy to estimate. Rounding to the nearest whole number, percent, or fractional

equivalent can sometimes be the simplest way to solve. For example, 47.8% could become

50%, and 69% = 2/3. If youre pressed for time, approximation can help you eliminate four

choices faster than doing the math with the most-accurate values.

4. Dont forget your knowledge of circles.



Just like in a Geometry question, we can always set up proportions based on part/whole ratios.

You might not need to use Circle properties for these Data Analysis questions, but its good

knowledge to have up your sleeve! A sector (or slice) of a pie chart is always part of the

entire area of the pie chart, and an arc of the pie chart is always part of the entire

circumference.

2.TABULAR PRESENTATION

A table is a set of data arranged in rows and columns and is one of the most common way of putting information across to people. A table consists of several boxes with information inside. The first row and the first column are generally used to denote the titles. While any type of data can be presented in table form, that too in a very accurate manner, interpreting the data in table form is more difficult and time consuming than the other modes, all of which are basically pictorial or graphical in presentation.

TIPS ON SOLVING TABLE CHART PROBLEMS:

Read the data very carefully, as the smallest detail may change the meaning of the question completely. Similarly, the instructions have to be understood carefully to prevent wasting time in calculating data that is not required, and also to find out exactly what is the answer that is sought.

Try to understand the data provided carefully, before jumping to answer the questions. The questions are designed to be deceptive, and proper understanding of the requirements is a must. If the Data provided is of the combined variety or if there are more than one data table/charts/graphs, try to understand the relation between the given tables.

For Example, one table may talk about absolute sales figures, while the other table may talk of sales as a percentage of production. Hence, any question on excess production or Goods in stock, will require data from both tables.

Be very careful of the units used in the tables, and the units in which the answers (options) are provided. A mistake in the units may yield an entirely different answer. Also be careful of whether the answer is required in decimal or percentage. Such errors are common and easily avoidable.

QUESTION NO 1

Study the following table and answer the questions based on it. Expenditures of a



Company (in Lakh Rupees) per Annum Over the given Years.

Year Item of Expenditure

Salary Fuel and Transport Bonus Interest on Loans Taxes

1998 288 98 3.00 23.4 83

1999 342 112 2.52 32.5 108

2000 324 101 3.84 41.6 74

2001 336 133 3.68 36.4 88

2002 420 142 3.96 49.4 98

Study the following bar charts and answer the questions..Foreign Trade (Imports and Exports) by countries for the year (1993 - 1994).

1. What is the average amount of interest per year which the company had to pay during this period?

A.Rs. 32.43 lakhs B.Rs. 33.72 lakhs C.Rs. 34.18 lakhs D.Rs. 36.66 lakhs

2. The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period? A.0.1% B.0.5% C.1% D.1.25%

3. Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002? A.62% B.66% C.69% D.71%



4.The total expenditure of the company over these items during the year 2000 is? A.Rs. 544.44 lakhs B.Rs. 501.11 lakhs C.Rs. 446.46 lakhs D.Rs. 478.87 lakhs

5. The ratio between the total expenditure on Taxes for all the years and the total expenditureon Fuel and Transport for all the years respectively is approximately? A.4:7 B.10:13 C.15:18 D.5:8

QUESTION NO 2



The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and the answer the questions based on it.

1. The ratio of the maximum exports to the minimum imports was closest to ?

A. 64 B.69 C.74 D.79

2. How many countries exhibited a trade surplus ? A.5 B.4



C.3 D.6

3. The total trade deficit/surplus for all the countries put together was ? A.11286 surplus B.11286 deficit

C.10286 deficit D. None of these

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

C.H D.L

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

C.J D.K


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QUESTION NO 3

1. If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what will be amount of royalty to be paid for these books? A. Rs. 19,450 B. Rs. 21,200 C. Rs. 22,950 D. Rs. 26,150 2. What is the central angle of the sector coon Royalty? A. 15 B. 24 C. 54 D. 48 3. The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book A. Rs. 36 B. Rs. 37.50 C. Rs. 42



certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what will be amount of royalty to be paid for these books?

What is the central angle of the sector corresponding to the expenditure incurred

The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book

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certain quantity of books, the publisher has to pay Rs. 30,600 as printing

rresponding to the expenditure incurred

The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book?



D. Rs. 44.25 4. 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 of 25%? A. Rs. 187.50 B. Rs. 191.50 C. Rs. 175 D. Rs. 180 5. Royalty on the book is less than the printing cost by: A. 5% B. 33 1/5% C. 20% D. 25%



QUESTION NO 4

Study the following graph and the table and answer the questions

1. What will be the percentage of total number of males in U.P., M.P. and Goa together to the total population of all the given states?

A. 25% B. 27.5% C. 28.5% D. 31.5% 2. What was the total number of illiterate people in A.P. and



Study the following graph and the table and answer the questions given below.

What will be the percentage of total number of males in U.P., M.P. and Goa together to the total population of all the given states?

What was the total number of illiterate people in A.P. and M.P. in 1998?


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given below.

What will be the percentage of total number of males in U.P., M.P. and Goa

M.P. in 1998?



A. 876040 B. 932170 C. 981550 D. 1161160 3. What is the ratio of the number of females in T.N. to the number of females in Delhi? A. 7 : 5 B. 9 : 7 C. 13 : 11 D. 15 : 14 4. What was the number of males in U.P. in the year 1998? A. 254650 B. 294840 C. 321470 D. 341200 5. If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997? A. 42 : 55 B. 48 : 55 C. 7 : 11 D. 4 : 5



QUESTION NO 5 Answer the questions on the basis of the information given below. In a school, there are four chemical laboratories namely Lab 1, Lab 2, Lab 3 and Lab 4.There are only six types of acids that are available in these laboratories. The following table provides information about the number of bottles of each type of acid in each of these laboratories.

Every bottle of acid in the chemical laboratories is further categorized on the basis of its capacity under one or the other of the five different categories namely S, M, L, XL and XXL. The following chart provides information about the number of bottles of acids in each of the mentioned categories (on the basis of its capacity) as a percentage of the total number of bottles of acids in these laboratories.



Additional Information for questions 1 and 2:

In Lab 2 as well as Lab 3, the number of bottles of acids in the category XL as a percentage of the total number of bottles of acids in the respective laboratories is not more than 1%.

1.In Lab 1, the total number of bottles of acids in the category XL as a percentage of the total number of bottles of acids in Lab 1 cannot be less than

A. 2%

B. 3%

C. 4%

D. 5%

E. 6%

2.If the ratio of the number of bottles of acids in Lab 1 and Lab 4 that are in the category XL is 2: 7, then what can be the difference between the number of number of bottles of acids in Lab 1 and Lab 4 that are not in the category XL?

A. 212

B. 202

C. 207

D. Either (A) or (C)

E. Either (A) or (B)

Additional Information for questions 3 and 4:

All the bottles containing one or the other of the three acids namely Sulphuric, Nitric and Nitrous are in one or the other of the three categories S, M and L only. Also, the total



number of bottles of Benzoic, Hydrochloric and Salicylic acid that are in one or the other of three categories S, M and L are a, b and c respectively.

3. Which of the following can be equal to the ratio a : b : c?

A. 2 : 31 : 5

B. 13 : 17 : 17

C. 15 : 7 : 19

D. 13 : 7 : 30

E. None of these.

4.If the value of a is maximum possible, then the number of bottles of Benzoic acid in Lab 2 that do not belong to any of the three categories S, M and L cannot be less than:

A. 76

B. 75

C. 78

D. 77

E. 79

5. The number of bottles of how many of the acids (Sulphuric, Nitric, etc.) is less than the average number of bottles per acid (Sulphuric, Nitric, etc.)?

A. 1

B. 2

C. 4

D. 3

E. None of these



QUESTION NO 6

The following pie chart represents the break-up of Rajus monthly Expenses.

1.If Raju spent Rs 4500 more on food and transport together than he spent on rent, then find his monthly expenses. A. Rs 15,000 B. Rs 25,000 C. Rs 30,000 D. Rs 35,000 E. Rs 40,000 2. If Raju increased his savings, which is currently 10% of his income, by 20% and reduced his expenses by 20%, then his savings would be what percentage of his expenses? A. 10% B. 12.5% C. 15% D. 16.66% E. 20% 3. Raju spent 20% of his expenditure on others on entertainment. This amounted

to Rs 2100. Find his expenditure on education.



A. 4,500

B. 5,000

C. 6,500

D. 7,500

E. None of these

4. Find the angle made by the expenditure on rent and others put together.

A. 120

B. 160

C. 180

D. 210

E. 240

5. As prices dropped, Rajus expenditure on clothes dropped by 10%. As a result of

this, his expenditure on others decreased from Rs 10,500 to Rs 10,290.What

percentage of his expenditure on others was spent on clothes?

A. 10%

B. 12%

C. 15%

D. 20%

E. 22.5%



QUESTION NO 7

Study the following table and answer the questions based on it. Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years

Year Item of Expenditure

Salary Fuel and Transport Bonus Interest on Loans Taxes

1998 288 98 3.00 23.4 83

1999 342 112 2.52 32.5 108

2000 324 101 3.84 41.6 74

2001 336 133 3.68 36.4 88

2002 420 142 3.96 49.4 98

1. What is the average amount of interest per year which the company had to pay during this period? A. Rs. 32.43 lakhs B. Rs. 33.72 lakhs C. Rs. 34.18 lakhs D. Rs. 36.66 lakhs 2. The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period? A. 0.1% B. 0.5% C. 1% D. 1.25% 3. Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002? A. 62% B. 66% C. 69% D. 71% 4. The total expenditure of the company over these items during the year 2000 is?



A. Rs. 544.44 lakhs B. Rs. 501.11 lakhs C. Rs. 446.46 lakhs D. Rs. 478.87 lakhs 5. The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectiv A. 4:7 B. 10:13 C. 15:18 D. 5:8

QUESTION NO 8

The following table shows the number of new employees added to different categories of employees in a company and also the number of employees from these categories who left the Company in 1995.

1. What is the difference between the total number of Technicians added to the Company and the total number of Accountants added to the Company during the years 1996 to 2000?

A. 128 B. 112 C. 96



Rs. 544.44 lakhs Rs. 501.11 lakhs Rs. 446.46 lakhs Rs. 478.87 lakhs

The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately?

The following table shows the number of new employees added to different categories of employees in a company and also the number of employees from these categories who left the company every year since the foundation of the

What is the difference between the total number of Technicians added to the Company and the total number of Accountants added to the Company during


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The ratio between the total expenditure on Taxes for all the years and the total ely is approximately?

The following table shows the number of new employees added to different categories of employees in a company and also the number of employees from

company every year since the foundation of the

What is the difference between the total number of Technicians added to the Company and the total number of Accountants added to the Company during



D. 88 2. What was the total number of Peons working in the Company in the year 1999? A. 1312 B. 1192 C. 1088 D. 968 3. For which of the following categories the percentage increase in the number of employees working in the Company from 1995 to 2000 was the maximum? A. Managers B. Technicians C. Operators D. Accountants 4. During the period between 1995 and 2000, the total number of Operators who left the Company is what percent of total number of Operators who joined the Company? A. 19% B. 21% C. 27% D. 29% 5. What is the pooled average of the total number of employees of all categories in the year 1997? A. 1325 B. 1195 C. 1265 D. 1235



SOLUTION KEY QUESTION : OPTION FOR EACH QUESTION 1. DCCAB 2. BBBDB 3. CCBAD 4. CDDBA 5. CDBAD 6. CDECD 7. DCCAB 8. DBABD

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