Free solved questions in Data Interpretation for SSC with answers and solutions

Instructions

Directions : The following graph shows the production of cotton bales of 100 kg each in lakhs by different states A, B, C, D and E over the years. Study the graph and answer the following Questions.

Question 1

The number of States for which the production of cotton in 2005-2006 is less than or equal to the preceding year is

Solution

In B, production is same as its previous year whether in C , it is decreased.

Question 2

How many kg of cotton was produced by State C during the given period?

Solution

Production of C in year 2003-2004 = 6 per 100 kg in lakh
in year 2004-05 = 11 per 100 kg in lakh
in year 2005-06 = 15 per 100 kg in lakh
Total will be 32 per 100 kg in lakh or 320000000 kg

Instructions

In the following questions, the following Bar Diagram shows the percentage of 7 coloured balls sold in 5 shops A, B, C, D and E. All the five shops sold an equal number of balls. Study the graph and answer all the questions.

Question 3

In shop A, the ratio of percentage of violet balls and yellow balls is :

Solution

In shop A, percentage of violet balls sold as a percentage of total number of balls = 35%

Percentage of yellow balls sold as a percentage of total number of balls = 20%

Ratio = 35:20 = 7:4

Option B is the right answer.

Instructions

Study and answer the questions.

Question 4

What fraction of the total expenditure is spent on Education in family A ?

Solution

% spent on education by family A = 20%

Fraction of total expenditure spent on education = $$\frac{20}{100}$$

= $$\frac{1}{5}$$

Instructions

The graph shows Income and Expenditure(Rs. in lakhs) of a company.Study the graph and answer the questions.

Question 5

The expenditure from 2002 to 2003 increased by

Solution

expenditure in 2002 = 30

expenditure in 2003 = 40

%increase = $$\frac{40-30}{30}\times100=\frac{10}{30}\times100=33\frac{1}{3}$$%

so the answer is option A.

Question 6

The income in 2002 was equal to the expenditure in the year

Solution

Income in 2002 = 40 lakhs = Expenditure in 2003.

so the answer is option A.

Question 7

The number of years in which the income exceeds the average income is

Solution

Income in 2000 = 30lakhs

Income in 2001 = 50lakhs

Income in 2002 = 40lakhs

Income in 2003 = 60lakhs

Income in 2004 = 60lakhs

average income = $$\frac{30+50+40+60+60}{5}=\frac{240}{5}$$=48lakhs

income is more than 48lakhs in 2001, 2003 & 2006.

so the answer is option A.

Instructions

In the following questions, the following Bar Diagram shows the percentage of 7 coloured balls sold in 5 shops A, B, C, D and E. All the five shops sold an equal number of balls. Study the graph and answer all the questions.

Question 8

What percentage of total coloured balls is yellow balls?

Solution

Let us assume that each shop sells100 balls. Now, total number of balls = 500.
Total yellow balls = 20+5+15+0+30 = 70
Percentage = 70/500 = 14/100 = 14%.
Option C is the right answer.

Question 9

The ratio of total number of red balls sold to the total number of orange balls sold is :

Solution

Since all the shops sell the same number of balls, total number can be equated to total percentage (Since ratio is asked)
Total number of redballs sold = 0 + 35+0+ 20+ 45 = 100
Total number of orange balls sold = 30 + 30+ 35 + 50 = 145

Ratio = 100:145 = 20:29
Option D is the right answer.

Question 10

The difference between the sum of percentages of violet balls sold to the sum of percentages of blue balls sold is

Solution

Since all the shops sold equal number of balls and we are asked to find the ratio, we can directly use the percentages involved.
Total percentage of violet balls = 35+0+0+15+0 = 50
Total percentage of blue balls = 10+0+15+0+0 = 35
Difference in percentage = 15%

Option B is the right answer.

Instructions

The pie-chart given below shows expenditure incurred by a family on various items and their savings. Study the chart and answer the questions based on the pie-chart

Question 11

The ratio of expenditure on food to savings is :

Solution

Degree of expenditure on food = 120

Degree of expenditure on savings = 60

=> Required ratio = 120/6 = 2 : 1

Instructions

For the following questions answer them individually

Question 12

Among the equations x + 2y + 9 =0 ; 5x-4=0 ; 2y - 13 = 0; 2x- 3y = 0, the equation of the straight line passing through origin is

Solution

For a straight line to pass through origin, both of its x & y coordinates should be '0'.

(A) : 2x - 3y = 0

=> If x = y = 0, then L.H.S. = 0 = R.H.S

=> It passes through origin

(B) : x + 2y + 9 = 0

=> If x = y = 0, then L.H.S. = 9 $$\neq$$ R.H.S. = 0

=> It does not pass through origin

(C) : 5x - 4 = 0

=> If x = 0, then L.H.S. = -4 $$\neq$$ R.H.S. = 0

=> It does not pass through origin

(D) : 2y - 13 = 0

=> If y = 0, then L.H.S. = -13 $$\neq$$ R.H.S. = 0

=> It does not pass through origin

Ans - (A)

Instructions

Directions :The pie chart, given here, represents the number of valid votes obtained by four students who contested election for school leadership. The total number of valid votes polled was 720. Observe the chart and answer the questions based on it.

Number represented in pie-chart are in degrees.

Question 13

What was the winner ?

Solution

Person having maximum no. of distribution will have max. no. of votes

Instructions

Study and answer the questions.

Question 14

If the total annual expenditure of family A is 30,000 then money spent on food, clothes and houserents is.

Solution

Total expenditure of family A = 30,000

Money spent on food = $$\frac{30}{100}$$ * 30,000 = 9,000

Money spent on clothes = $$\frac{15}{100}$$ * 30,000 = 4,500

Money spent on house rent = $$\frac{15}{100}$$ * 30,000 = 4,500

=> Total money spent on food, clothes and house rent = 9000+4500+4500

= 18,000

Instructions

The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.

Question 15

Average of simcard sold in the four states in lakhs is

Solution

simcards sold in Gujrat = 16+10+20 = 46

simcards sold in Tamilnadu = 4+13+21 = 38

simcards sold in Assam = 3+5+2 = 10

simcards sold in kerala = 10+3+14 = 27

total = 121

average = $$\frac{121}{4}=30.25$$

so the answer is option A.

Question 16

Of all the simcards sold in all the four states, the number of simcards sold in Gujarat is (approx)

Solution

simcards sold in Gujrat = 16+10+20 = 46

simcards sold in Tamilnadu = 4+13+21 = 38

simcards sold in Assam = 3+5+2 = 10

simcards sold in kerala = 10+3+14 = 27

total = 121

percentage of simcards sold in Gujarat = $$\frac{46}{121}=38.02\sim38$$%

so the answer is option B.

Instructions

The following pie-chart shows the sources of funds (InRs. crores) to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answer the following Three questions

Question 17

The central angle corresponding to Market Borrowing is

Solution

Total funds collected = 11486 + 5252 + 4910 + 6000 + 29952 = 57,600 crore

Central angle corresponding to Market Borrowing = $$\frac{29952}{57600}$$ * 360

= 187.2°

Instructions

In the following questions, the graph shows the demand and production of different companies. Study the graph and answer the questions.

Question 18

The demand of company E is approximately what percentage of the production of company F ?

Solution

Demand of company E = 2800

Production of company F = 4500

Demand of company E as a percentage of production of company F = (2800/4500)*100 = 62.22% = 60% approx.

Option A is the right answer.

Instructions

Study the following bar diagram carefully and answer the following questions.

The number of the production of electronic items (TVs and LCDs) in a factory during the period from 2009 to 2013.

Question 19

The difference between averages of production of TVs and LCDs from 2009 to 2012 is

Solution

Total no. of TV's produced from 2009 to 2012 = 6000 + 9000 + 13000 + 11000

=> 39,000

Average production of TV's over these four years = 39000/4 = 9750

Total no. of LCD's produced from 2009 to 2012 = 7000 + 9400 + 9000 + 1000 = 35,400

Average production of LCD's over these four years = 35400/4 = 8850

=> Required Difference = 9750 - 8850 = 900

Instructions

In the following questions, the following Bar Diagram shows the percentage of 7 coloured balls sold in 5 shops A, B, C, D and E. All the five shops sold an equal number of balls. Study the graph and answer all the questions.

Question 20

The shops having equal percentage of white balls among the given options are :

Solution

As it can be seen from the graph, shpos B and C have an equal percentage of white balls (15%). Hence, option C is the right answer.

Instructions

Directions : The following graph shows the production of cotton bales of 100 kg each in lakhs by different states A, B, C, D and E over the years. Study the graph and answer the following Questions.

Question 21

In which State(s) is there a steady increase in the production of cotton during the given period?

Solution

Only in A and C there is a steady increment in production of cotton as in D and E , It is decresed and in B production is equal for two years. Hence answer will be C).

Instructions

Study the following bar diagram carefully and answer the following questions.

The number of the production of electronic items (TVs and LCDs) in a factory during the period from 2009 to 2013.

Question 22

The total number of products of electronic items is maximum in the year

Solution

Total no. of electronic items in :

2009 = 6000 + 7000 = 13000

2010 = 9000 + 9400 = 18400

2011 = 13000 + 9000 = 22000 [MAX]

2012 = 11000 + 10000 = 21000

2013 = 8000 + 12000 = 20000

=> Total production is maximum in 2011

Instructions

Study the following frequency polygon and answer the questions. Given a line graph showing the number of students passed in Higher Secondary Examination in a school over the years 2008 to 2013.

Question 23

The average of passed students in the years 2008, 2009, 2012 approximately is

Solution

No. of passed students in 2008 = 110

No. of passed students in 2009 = 138

No. of passed students in 2012 = 156

=> Total no. of students passed in 2008, 2009 & 2012 = 110+138+156 = 404

=> Average students passed over the three years = 404/3 = 134.67

Instructions

Given here is a multiple bar diagram of the scores of four players in two innings. Study the diagram and answer the questions:

Question 24

The average runs of two innings of the player who scored highest in average are :

Solution

Runs scored in 1st and 2nd innings respectively :

Dhoni = 60+80 = 140 [MAX]

Virat = 50+50 = 100

Pujara = 70+10 = 80

Dhawan = 30+20 = 50

Since, Dhoni scored the maximum in both innings

=> Average = 140/2 = 70

Instructions

The graph shows the result of 10th class students of a school for 4 years. Study the graph and answer the questions :

Question 25

The number of students appeared for the 10th class exam in the year 2002 is

Solution

In 2002, no. of students who passed in :

1st class = 120

2nd class = 60

3rd class = 15

=> Total no. of students appeared for class 10th exam in 2002 = 120+60+15 = 195

Question 26

The percentage increase of first class in the year 2003 over the year 2002 is approximately

Solution

No. of students passed with 1st class in 2002 = 120

No. of students passed with 1st class in 2003 = 120

Since, both are same, thus % change = 0%

Question 27

The year in which the maximum number of students appeared for the 10th class exam is

Solution

No. of students appeared for 10th class exam in :

2000 = 90+50+20 = 160

2001 = 110+60+30 = 200 [MAX]

2002 = 120+60+15 = 195

2003 = 120+40+10 = 170

=> Maximum students appeared in 2001.

Instructions

In the following questions, the graph shows the demand and production of different companies. Study the graph and answer the questions.

Question 28

What is the ratio of the companies having more demand than production to those having more production than demand ?

Solution

Companies having more demand than production are A and D - 2 companies.

Companies having more production than demand - 4 countries

Ratio = 2:4 = 1:2

Option B is the right answer.

Instructions

The pie chart given below shows the break-up of number of hours of teaching various subjects at an institute by Mr. Raghav.

Question 29

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

Solution

Total time (in %) given to all topics except arithmetic = (100-46)% = 54%

=> Total time (in %) given to problem solving = $$\frac{10}{100}\times54=5.4\%$$

$$\therefore$$ Central angle = $$\frac{5.4}{100}\times360$$

= $$19.44^\circ$$

=> Ans - (C)

Instructions

The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.

Question 30

In Assam, the ratio of Aircell simcard and Airtel simcard sold is:

Solution

In Assam, no.of aircel simcards sold = 2

no.of airtel simcards sold = 5

ratio = 2 : 5

so the answer is option B.

Instructions

The following pie-chart shows the sources of funds (InRs. crores) to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answer the following Three questions

Question 31

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 outsourced agency, so that the project is supported with Rs. 4,910 crores ?

Solution

Amount required to support the project = 4910 crore

Maximum compensation = 10%

=> 10% of 4910 cr = $$\frac{10}{100} * 4910 cr = 491 cr

Amount permitted = 4910 cr + 491 cr = 5401 cr

Instructions

In the following questions, the graph shows the demand and production of different companies. Study the graph and answer the questions.

Question 32

What is the difference between the average demand and the average production of the companies (in lakh tonnes)? [Approximately]

Solution

Total demand = 2100 + 3150 + 2600 + 5000 + 2800 + 3300 = 18950

Total supply = 1450 + 3650 + 3100 + 4200 + 3700 + 4500 = 20600

Difference in total demand and supply = 1650

Average difference = 1650/6 = 275

Hence, option C is the right answer.

Question 33

The production of company A is approximately what percent of the demand of company C ?

Solution

Production of Company A = 1400 lakh tonnes

Demand of company C = 2600 lakh tonnes

Production of company A as a percentage of demand of company C = 1450/2600 = 55% (Approx)

Option D is the right answer.

Instructions

The pie chart given below shows the break-up of number of hours of teaching various subjects at an institute by Mr. Raghav.

Question 34

If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry taught?

Solution

Time given to Data Interpretation and Modern Maths (in %) = 8+4 = 12%

Time given to Number system and Geometry taught (in %) = 23+6 = 29%

According to ques, => $$12\% \equiv 96$$ hours

=> $$29\% \equiv \frac{96}{12}\times29$$

= $$8\times29=232$$ hours

=> Ans - (D)

Instructions

The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.

Question 35

In which state are there the largest number of owners of Airtel simcard ?

Solution

airtel simcards sold in gujrat = 10

airtel simcards sold in tamilnadu = 13

airtel simcards sold in assam = 5

airtel simcards sold in kerala = 3

so the answer is option A.

Instructions

The pie chart given below shows the break-up of number of hours of teaching various subjects at an institute by Mr. Raghav.

Question 36

Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?

Solution

Let total time taken = $$100x$$ hours

Time taken to teach Geometry = $$\frac{6}{100}\times100x=6x$$ hours

According to ques, => $$6x=36$$

=> $$x=\frac{36}{6}=6$$

=> Time taken to teach Arithmetic = $$\frac{46}{100}\times100x=46x$$ hours

= $$46\times6=276$$ hours

$$\therefore$$ Time required to teach ratio = $$\frac{276}{4}=69$$ hours

=> Ans - (C)

Instructions

Study and answer the questions.

Question 37

If the total annual expenditure of family B is 10,000 then money spent on clothes during the year is

Solution

Total expenditure of family B = 10,000

% spent on clothing = 15%

=> Amount spent on clothing = $$\frac{15}{100}$$ * 10,000

= 1,500

Instructions

The pie-chart given below shows expenditure incurred by a family on various items and their savings. Study the chart and answer the questions based on the pie-chart

Question 38

If the expenditure on education is 1600 more than that on housing, then the expenditure on food is :

Solution

Let total income = 360$$x$$

Expenditure on education = $$\frac{70}{360} * 360x = 70x$$

Expenditure on housing = $$\frac{54}{360} * 360x = 54x$$

=> Required difference = $$70x - 54x$$ = 1600

=> $$x$$ = 100

Expenditure on food = $$\frac{120}{360} * 360x = 120x$$

=> 120*100 = 12000

Instructions

The graph shows the result of 10th class students of a school for 4 years. Study the graph and answer the questions :

Question 39

The ratio of students who scored second class to the total students appeared in the year 2000 is

Solution

In 2000, no. of students who passed with :

1st class = 90

2nd class = 50

3rd class = 20

Total students = 90+50+20 = 160

=> Required ratio = $$\frac{50}{160}$$ = 5 : 16

Instructions

The graph shows Income and Expenditure(Rs. in lakhs) of a company.Study the graph and answer the questions.

Question 40

The profit was maximum in the year

Solution

profit = income - expenditure

profit in 2000 = 30 - 20 = 10lakhs

profit in 2001 = 50 - 30 = 20lakhs

profit in 2002 = 40 - 30 = 10lakhs

profit in 2003 = 60 - 40 = 20lakhs

profit in 2004 = 60 - 35 = 25lakhs

so the answer is option B.

Instructions

The pie-chart given below shows expenditure incurred by a family on various items and their savings. Study the chart and answer the questions based on the pie-chart

Question 41

If the monthly income is 36000, then the yearly savings is :

Solution

Monthly income = 36,000

Monthly savings = $$\frac{60}{360}$$ * 36000 = 6,000

=> Yearly savings = 12*6000 = 72,000

Instructions

The following pie-chart shows the sources of funds (InRs. crores) to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answer the following Three questions

Question 42

If NHAI could receive a total of Rs. 9,695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds ?

Solution

Shortage of funds arranged through External Assistance = 11486 - 9695 = 1791 crores

=> Increase required in market borrowing = Rs. 1791 crore

% increase required = $$\frac{1791}{29952}$$ * 100 = 5.98%

= ~6%

Instructions

Study the following bar diagram carefully and answer the following questions.

The number of the production of electronic items (TVs and LCDs) in a factory during the period from 2009 to 2013.

Question 43

The ratio of production of LCDs in the year 2011 and 2013 is

Solution

Total production of LCD's in 2011 = 9000

Total production of LCD's in 2013 = 12000

Require ratio = 9000/12000 = 3 : 4

Instructions

The graph shows Income and Expenditure(Rs. in lakhs) of a company.Study the graph and answer the questions.

Question 44

The difference in profit between 2001 and 2002 is

Solution

profit = income - expenditure

profit in 2001 = 50 - 30 = 20 lakhs

profit in 2002 = 40 - 30 = 10 lakhs

difference = 20 - 10 = 10lakhs

so the answer is option C.

Instructions

The number of mobile simcards in 4 states are given in multiple bar diagrams. Study the diagram and answer the questions.

Question 45

The range of BSNL simcard sold in the 4 states in lakhs is :

Solution

Range = largest number - smallest number

16 BSNL simcards were sold in Gujrat, is the largest number &

3 BSNL simcards were sold in assam is the smallest number

so, range = 16 - 3 = 13

so the answer is option D.

Instructions

The pie chart given below shows the break-up of number of hours of teaching various subjects at an institute by Mr. Raghav.

Question 46

If Mr. Raghav taught a total of 500 hours, then what is the difference in number of hours of teaching algebra and modern Maths?

Solution

Difference in time taken to teach algebra and modern Maths (in %) = 9-4 = 5%

Total time = 500 hours

=> Required time = $$\frac{5}{100}\times500$$

= 25 hours

=> Ans - (C)

Instructions

Study the graph carefully and answer the following questions. Profit Earned by a company (in crore rupees) during certain years

Question 47

If the income in the year 2003 was 60 crores and the expenditure of that year equals the expenditure of the year 2005, the income of the company (in crore rupees) in 2005 was

Solution

profit in 2003 = 20cr

if income in 2003 = 60cr, then expenditure = 60 - 20 = 40cr

according to question, expenditure in 2005 = expenditure in 2002 = 40crs

from graph, profit in 2005 = 40cr

so income in 2005 = profit + expenditure = 40+40 = 80cr

so the answer is option B.

Instructions

Study the following bar diagram carefully and answer the following questions.

The number of the production of electronic items (TVs and LCDs) in a factory during the period from 2009 to 2013.

Question 48

The ratio of production of TVs in the years 2009 and 2010 is

Solution

No. of TV's produced in 2009 = 6000

No. of TV's produced in 2010 = 9000

=> Required ratio = 6000/9000 = 2 : 3

Instructions

Study the following frequency polygon and answer the questions. Given a line graph showing the number of students passed in Higher Secondary Examination in a school over the years 2008 to 2013.

Question 49

The increase in percentage of passed students from 2008 to 2011 approximately is

Solution

No. of students passed in 2008 = 110

No. of passed students in 2011 = 170

=> % increase = $$\frac{170-110}{110}$$ * 100 = 54.54%

= ~54.5%

Question 50

The decrease in percentage of passed students from 2011 to 2012 approximately is

Solution

No. of students passed in 2011 = 170

No. of passed students in 2012 = 156

=> % decrease = $$\frac{170-156}{170} * 100 = 8.235 \%$$

= ~8.24%

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