255+ Data Interpretation Questions and Answers With Explanation

Q:

The following bar graph shows the percentage of chairs produced by two companies Neel Kamal and Raj Kamal during five different years. Bar graph also shows the total no. of chairs produced in different years associated with it. Study the graph carefully to answer the following questions.

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Question 1) Find the average no. of chairs produced by Raj Kamal in the years 2004, 2006 and 2007 together.

Question 2) What is the ratio of no. of chairs produced by Neel Kamal in the years 2007 and 2008 together to that by Raj Kamal in the same years together?

Question 3) If 12% chairs out of total chairs produced in the year 2008 were defective and in them ratio of defective chairs by Raj Kamal and Neel Kamal is 2 : 3 then find the no. of defective chairs produced by Neel Kamal in the year 2008.

Answer

Answer 1)

1/3 x (54 x 150 + 60 x 300 + 36 x 450)

= 1/3 x 42300

= 14100.

Answer 2)

Required ratio of chairs = $\frac{64 x 450 + 56 x 500}{36 x 450 + 44 x 500}$

= 56800/38200

= 284/191.

Answer 3)

Required number of chairs = $\frac{3}{5} x \frac{12}{100} x 50000$
= 3600.

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Subject: Bar Charts Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

7 1979

Q:

DI.

What is the difference between the number of uneducated females in city P and that of uneducated males in city S ?

A) 9 lakhs	B) 6 lakhs
C) 3 lakhs	D) 2 lakhs

Answer & Explanation Answer: A) 9 lakhs

Explanation:

Educated females in city P = 25 lakhs

Uneducated females in city P = 30 - 25 = 5 lakhs

Educated males city S = 21 lakhs

Educated males in city S = 35 - 21= 14 lakhs

Required difference = 14 - 5 = 9 lakhs

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Filed Under: Table Charts
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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13 2225

Q:

Study the table below to answer these questions.

Rate of Interest, Dividend Payout Ratio and the Retained Earnings of Five Companies

Profit earned is either paid out as dividend or ploughed back in business as retained earnings. Interest is paid on borrowings.

1. By how much do the borrowings of Company B exceed that of Company A ?

1. Rs. 1,210,000 2. Rs.1,320,000 3. Rs.1,000,000 4. Rs.1,100,000

2. By how much does the dividend paid by Company D exceed the dividend paid by Company B ?

1. Rs.23 lakh 2. Rs.32 lakh 3. Rs.320 lakh 4. Rs.230 lakh

3. The profit of E is more/less than that of C by _____ %

1. 33.3% less 2. 33.3% more 3. 25% less 4. 25% more

4. What is the sum of profits made by Companies A and B ?

1. Rs.500 lakh 2. Rs.600 lakh 3. Rs.700 lakh 4. Rs.800 lakh

5. What is the sum of the borrowings of all five companies ?

1. Rs.146 lakh 2. Rs.14.6 lakh 3. Rs.14.6 crore 4. None of these

Answer

1. Answer : 4

Explanation : Let the borrowing of Company A = x

Interest of Company A = 234000

Rate of Interest = 18%

$∴ x \times \frac{18}{100} = 234000 \Rightarrow x = 1300000$

Let the borrowing of Company B = y

Interest of Company B = 576000

Rate of interest = 24%

$∴ y \times \frac{24}{100} = 576000 \Rightarrow y = 2400000$

Required difference = y - x = 2400000 - 1300000 = Rs. 1100000

2. Answer : 2

Explanation :

Let the profit of Comapny B = 100%

Dividend Payout ratio(%) of B = 19.60

Remaining percent i.e retained earning = 100 - 19.60 = 80.4%

According to question, 80.4% = Rs.402 lakh

100% = Rs.500 lakh

Therefore, Total dividend paid by Company B = 500 - 402 = Rs. 98 lakh

Let the profit of company D = 100%

Dividend payout ratio (%) of D = 32.50

Remaining percent i.e retained earning = 100 - 32.50 = 67.5%

According to question, 67.5% = Rs. 270 lakh

100% = Rs. 400 lakh

Therefore, Total dividend paid by company D = 400 - 270 = Rs. 130 lakh

Required difference = 130 - 98 = Rs. 32 lakh

3. Answer : 3

Explanation :

Let the profit of Company C = 100%

Dividend payout ratio of C = 8.75%

Remaining percent i.e, retained earning = 100 - 8.75 = 91.25

According to question, 91.25% = Rs. 365 lakh

100% = Rs. 400 lakh

Therefore, Profit of C = Rs. 400 lakh

Let the profit of company E = 100%

Dividend payout ratio of E = 28%

Remaining percent i.e retained earning = 100 - 28 = 72%

According to question, 72% = Rs.216 lakh

100% = Rs.300 lakh

Therefore, Profit of E = Rs. 300 lakh

Required percentage = $\frac{100}{400} \times 100$ = 25% less

4. Answer : 3

Explanation :

Profit made by company A = Rs. 200 lakh

Profit made by company B = Rs. 500 lakh

Required Sum = 200 + 500 = Rs. 700 lakh

5. Answer : 4

Explanation :

Required Sum = 1300000 + 2400000 + 810000 + 1600000 + 1200000 = 7310000 = Rs. 73.1 lakh

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Subject: Table Charts

8 5074

Q:

A train runs through cities A, B, C, D, E, F, G and H. The line graph indicates the time schedule of the train including times of arrival and departure.

1. The total stoppage time at the cities in the first half and second half of the total distance is in the ratio.

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

2. Between how many pairs of consecutive stations does the speed run below the overall average speed of the entire trip?

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

3. If the train stops at each city for 50% more time than what it is at present, then at what time will it arrive at city H after departing from city A as per schedule ?

1. 20.16 2. 19.02 3. 18.51 4. 18.59

4. The overall average speed of the entire trip excluding stoppage time is nearly :

1. 75 km/h 2. 81 km/h 3. 46 km/h 4. 65 km/hr

5. What percent of time of the entire trip was actually spent travelling between the cities ?

1. 91.8% 2. 7.6% 3. 76% 4. 24%

Answer

1. Answer : 4

Explanation : Required ratio = $\frac{10 + 2 + 5}{10 + 15 + 10} = \frac{17}{35} \approx \frac{1}{2} = 1 : 2$

2. Answer : 1

Explanation :

A to B Speed = $\frac{140 \times 3}{5}$ = 84

B to C Speed = $\frac{91 \times 3}{4}$ = 68.25

C to D Speed = $\frac{149 \times 60}{103}$ = 86.796

D to E Speed = $\frac{88 \times 3}{4}$ = 66

E to F Speed = $\frac{106 \times 4}{5}$ = 84.8

F to G Speed = $\frac{176}{2}$ = 88

G to h Speed = $\frac{110 \times 4}{5}$ = 88

Average speed of entire trip = $\frac{84 + 68.25 + 86.796 + 66 + 84.8 + 88 + 88}{7}$ =80.83

3. Answer : 3

Explanation : Total half time = 10 + 2 + 5 + 10 + 15 + 10 = 52

Total half time, if the train stops at each city for 50% more= $52 \times \frac{150}{100}$ =78

Train will arrive at city H after departing from city A = 18.25 + (78 - 52 )=18.25 + 26=18.51

4. Answer : 2

Explanation : Average speed = $\frac{84 + 68.25 + 86.796 + 66 + 84.8 + 88 + 88}{7}$ =80.83=81 km/hr

5. Answer : 1

Explanation : Required percentage of time = $\frac{1.40 + 1.20 + 1.43 + 1.20 + 1.15 + 2 + 1.15}{18.25 - 7} \times 100$ = $\frac{10.23}{11.25} \times 100$ = 91.8 %

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Subject: Line Charts

9 5026

Q:

Study the following pie-charts to answer the following questions :

The pie-charts show the expenditure of two companies A and B, Which are Rs.50 lakh and Rs.60 lakh respectively.

1.If the incomes of Company A and B are in the ratio of 4:5 and the income of Company B is 180% of its expenditure,then what is the difference between the income of Company B and the income of Company A ?

1.Rs.2200000 2. Rs.1900000 3. Rs.2160000 4. Rs.1850000 5.Rs.2250000

2.If the number of employees in Company A is a hundred then what is the average salary of the employees in Company A ?

1. Rs.14000 2. Rs.16000 3. Rs.13000 4. Rs.15000 5. Rs.15500

3.What is the ratio of tax paid by Company A to that by Company B ?

1. 35:18 2. 34:37 3. 42:41 4. 31:27 5. 27:25

4.What is the difference between the expenditure on employees of Company B and that of Company A?

1.Rs.4300000 2. Rs.6400000 3. Rs.5900000 4. Rs.8700000 5.Rs.7800000

5.The expenditure on Machine and Electricity of Company B is what per cent more than that on the same item of Company A?

1. 67% 2. 84% 3. 75% 4. 77% 5. 80%

Answer

1. Answer : 3

Explanation : Expenditure of Company B = 60 lakh

Income of Company B = $60 \times \frac{180}{100}$ = 108 lakh = 1 crore 8 lakh

Income of Company A = $10800000 \times \frac{4}{5}$ = Rs. 8640000

Therefore, Required differeence = 10800000 - 8640000 = Rs.2160000

2. Answer : 1

Explanation : Total expenditure on the employees of company A = $5000000 \times \frac{28}{100}$ = Rs.1400000

Average Salary of the employees = $\frac{1400000}{100}$ = Rs.14000

3. Answer : 1

Explanation : Tax paid by Company A : Tax paid by Company B

= $5000000 \times \frac{14}{100}$ : $6000000 \times \frac{6}{100}$

= 700000 : 3600000 = 35 : 18

4. Answer : 2

Explanation : Difference = $6000000 \times \frac{34}{100} - 5000000 \times \frac{28}{100}$

= 2040000 - 1400000 = Rs.640000

5. Answer : 5

Explanation : Expenditure on Machine and Electricity of Company B = $6000000 \times \frac{18}{100}$ = Rs.1080000 = 10.8 lakh

Expenditure on Machine and Electricity of Company A = $5000000 \times \frac{12}{100}$ = Rs.600000 = 6 lakh

Therefore, Required % = $\frac{1080000 - 600000}{600000} \times 100$ % = $\frac{48}{60} \times 100$ % = 80%

Hence expenditure of Company B is 80% more than Company A.

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Subject: Pie Charts

12 5611

Q:

Study the pie - chart carefully to answer the questions below :

The Pie chart shows the percentage quantity of fruits at two fruit shops A and B

1. What is the difference between the quantity of Guava at Shop B and that at Shop A ?

1. 40 Kg 2. 45 kg 3. 35 kg 4. 30 kg 5. 50 kg

2. If the price of Mango is Rs. 30 per kg, Apple Rs.40 per kg and orange Rs.20 per kg, then what is the ratio of their costs at Shop A?

1. 1 : 4 : 6 2. 9 : 8 : 5 3. 3 : 7 : 8 4. 5 : 4 : 1 5. 2 : 5 : 7

3. The quantity of Mango at Shop B is what per cent of the quantity of Mango at Shop A ?

1. 20% 2. 220% 3. 120% 4. 80% 5. 180%

4. If the price of Mango is Rs.30 per kg, Apple Rs. 40 per kg, orange Rs.20 per kg, Other fruits Rs.15 per kg and Guava Rs. 18 per kg for both Shop A and B, then what is the difference between the cost of all fruits at Shop A and that at Shop B ?

1. Rs.7200 2. Rs.3500 3. Rs. 6400 4. Rs.5100 5. Rs.4600

5. The quantity of Orange at Shop A is what percent more than that of Apple at Shop B ?

1. 161.52% 2. 195.5% 3. 182% 4. 190% 5. 171.42%

Answer

1. Answer : 1

Explanation : Quantity of Guava at Shop A = $1200 \times \frac{10}{100}$ = 120 kg

Quantity of Guava at Shop B = $1000 \times \frac{16}{100}$ = 160 kg

Therefore, Required difference = 160 - 120 = 40 kg

2. Answer : 2

Explanation : Cost of Mango at Shop A = $30 \times 1200 \times \frac{24}{100}$ = Rs. 8640

Cost of Apple = $40 \times 1200 \times \frac{16}{100}$ = Rs. 7680

Cost of Orange = $20 \times 1200 \times \frac{20}{100}$ = Rs.4800

Therefore, Required Ratio = 8640 : 6780 : 4800 = 9 : 8 : 5

3. Answer : 3

Explanation : Quantity of Mango at Shop B = $1000 \times \frac{24}{100}$ = 240 kg

Quantity of Mango at Shop A = $1200 \times \frac{24}{100}$ = 288 kg

Therefore, Req % = $288 \times \frac{100}{240}$ = 120% of the quantity of Mango at Shop A

4. Answer : 4

Explanation : Cost of total fruits at Shop A = Cost of Mango + Cost of Apple + Cost of Guava + Cost of orange + Cost of other fruits

= $1200 \times \frac{24}{100} \times 30 + 1200 \times \frac{16}{100} \times 40 + 1200 \times \frac{10}{100} \times 18 + 1200 \times \frac{20}{100} \times 20 + 1200 \times \frac{30}{100} \times 15$

= Rs. 28680

Cost of Total Fruits at Shop B

= $1000 \times \frac{24}{100} \times 30 + 1000 \times \frac{14}{100} \times 40 + 1000 \times \frac{16}{100} \times 18 + 1000 \times \frac{20}{100} \times 20 + 1000 \times \frac{26}{100} \times 15$

= 7200 + 5600 + 2880 + 4000 + 3900

= Rs. 23580

Therefore, Req.difference = 28680 - 23580 = Rs.5100

5. Answer : 5

Explanation: Quantity of Orange at Shop A = $1200 \times \frac{20}{100}$ = 240 kg

Quantity of Apple at Shop B = $1000 \times \frac{14}{100}$ = 140 kg

Therefore, Req % = $\frac{240 \times 100}{140}$ = 171.42% more than the quantity of Apple at Shop B.

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Subject: Pie Charts

11 8281

Q:

Study the given bar graph and pie chart to answer the following questions.

The bar graph shows the production (in thousand tonnes) of Wheat, Rice and Maize in different states.

The pie-chart shows the percentage of agricultural land in the given six states.

Productivity = $\frac{Total\: Production}{Area\: of\: agricultural\: land}$

1.The productivity of which state is the maximum ?

1. Bihar 2. Haryana 3. Punjab 4. UP 5. MP

2.The production of which state is the maximum ?

1. Bihar 2. MP 3. Haryana 4. UP 5. Punjab

3.The prodution of wheat in punjab is what per cent more than the production of Maize in odisha ?

1. 350% 2. 250% 3. 300% 4. 200% 5. 400%

4.What is the ratio of the production of Rice in Bihar to the production of Wheat in Haryana ?

1. 2:3 2. 3:2 3. 2:1 4. 1:1 5. 1:2

5.If MP exports 40% of Rice at the rate of Rs.30 per kg and UP exports 30% of Rice at the rate of Rs.32 per kg, then what is the ratio of the income from the exports ?

1. 65:48 2. 31:42 3. 43:54 4. 57:62 5. 1:2

Answer

1. Answer : 2

Explanation : Productivity = Total production/area of Agr.land

Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000

Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000

Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000

Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000

Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000

Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000

The Productivity of Haryana is the maximum.

2. Answer : 5

Explanation : Production of Punjab is maximum = 105000 tonnes

3. Answer : 3

Explanation : Production of Wheat in Punjab = 40000 tones

Production of Maize in Odisha = 10000 tones

Required % = (40000 - 10000)/100 = 300%

4. Answer : 4

Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1

5. Answer : 1

Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore

Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore

Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

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Subject: Bar Charts Exam Prep: GATE , CAT , Bank Exams , AIEEE
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119 27644

Q:

The following bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies P, Q and R over years 2009 to 2013.

Production of Sugar by Companies P, Q and R during 2009 - 2013

1. The percentage increase in production of Company Q from the year 2009 to the year 2013 is :

1. 80% 2. 90% 3. 60% 4. 100%

2. The average production over the years 2009 - 2013 was maximum for the Company(ies):

1. Q 2. P 3. R 4. P and R

3. The percentage rise or fall in production of Company Q as compared to the previous year is the maximum in the year :

1. 2011 2. 2010 3. 2013 4. 2012

4. The percentage of production of Company R to Production of Company Q is the maximum in the year

1. 2010 2. 2009 3. 2011 4. None of these

5. The ratio of the average production of Company P during the years 2011 to 2013 to the average production of Company Q for the same period is :

1. 23 : 25 2. 27 : 29 3. 15 : 17 4. 9 : 11

Answer

1. Answer : 4

Explanation : Required Percentage = $\frac{100 - 50}{50} \times 100$ = 100%

2. Answer : 4

Explanation : The average production of P = $\frac{60 + 90 + 50 + 100 + 80}{5}$ = 76

The average production of Q = $\frac{50 + 70 + 70 + 80 + 100}{5}$ = 74

The average production of R = $\frac{70 + 80 + 90 + 70 + 70}{5}$ = 76

Maximum average production = P and R both

3. Answer : 2

Explanation : The percentage rise in 2010 = $\frac{70 - 50}{50} \times 100$ = 40%

The percentage rise in 2011 = $\frac{70 - 70}{70} \times 100$ = 0%

The percentage rise in 2012 = $\frac{80 - 70}{70} \times 100$ = 14.28%

The percentage rise in 2013 = $\frac{100 - 80}{80} \times 100$ =25%

4. Answer : 2

Explanation : The percentage of production of Company R to production of Company Q

in 2009 = $\frac{70}{50} \times 100$ = 140

in 2010 = $\frac{80}{70} \times 100$ = 114.28

in 2011 = $\frac{90}{70} \times 100$ = 128.57

in 2012 = $\frac{70}{80} \times 100$ = 87.5

in 2013 = $\frac{70}{100} \times 100$ = 70

5. Answer : 1

Explanation : Average production of company P during the years 2011 to 2013 = $\frac{50 + 100 + 80}{3}$ = $\frac{230}{3}$

Average production of company Q during the years 2011 to 2013 = $\frac{70 + 80 + 100}{3}$ = $\frac{250}{3}$

Required ratio = 23 : 25

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Subject: Bar Charts

13 4687

Quantitative Aptitude - Data Interpretation Questions

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