Quantitative Aptitude - Data Interpretation Questions

What is Quantitative Aptitude- Data Interpretation?

Data Interpretation is the process of analysing data, inspecting the elements in data and Interpreting to extract maximum information from the given set of data or information. The data is given in the form of charts, tables and graphs. Data Interpretation has no particular syllabus, this section tests one's ability in analysing data, decision making capability and speed. Data Interpretation looks simple and easy but the calculations are time consuming. For solving the data interpretation problems efficiently one should analyse the given data and focus on aspects of the data that are necessary to answer the questions, before attending data interpretation section one should be very comfortable with numbers, calculations, percentages, fractions, averages and ratios to increase the calculation speed.

We come across Data Interpretation Questions in many competitive exams and Entrance Tests like Bank Exams (SBI PO), MBA entrance exams (CAT, MAT), HPAS, APPSC group1, HR executives, UPSC CPF (AC),IBPS ,UP Police constable exams, TNPSC VAO, WBSC, PPSC, HAL Results, NDA, Lokhsabha secretariat, Rajyasabha secretariat exams and more

Thorough practice of different papers on data interpretation allows you to solve different kinds of data interpretation and can help improve your logic in solving problems.

We have a large database of questions on Quantitative Aptitude (Data Interpretation) for you to practice and score high.

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Study the following line graph and answer the questions based on it.

Number of Vehicles Manufactured by Two companies ove the Years (Number in Thousands)

1. What is the difference between the number of vehicles manufactured by Company Y in 2000 and 2001 ?

A. 50000 B. 42000 C. 33000 D. 21000

2. What is the difference between the total productions of the two Companies in the given years ?

A. 19000 B. 22000 C. 26000 D. 28000

3. What is the average numbers of vehicles manufactured by Company X over the given period ? (rounded off to nearest integer)

A. 119333 B. 113666 C. 112778 D. 111223

4. In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years ?

A. 1997 B. 1998 C. 1999 D. 2000

5. The production of Company Y in 2000 was approximately what percent of the production of Company X in the same year ?

A. 173 B. 164 C. 132 D. 97

Answer

1. ANSWERS : D

Explanation- Required difference = (128000 - 107000) = 21000.

2. ANSWERS : C

Explanation- 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 and those 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.

3. ANSWERS : A

Explanation- Average number of vehicles manufactured by Company X

= $\frac{1}{6} \times (119000 + 99000 + 141000 + 78000 + 120000 + 159000)$

= 119333.

4. ANSWERS : D

Explanation- The difference between the productions of Companies X and Y in various years are:

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.

5. ANSWERS : B

Explanation - Required percentage= $\frac{128000}{78000} \times 100$ % = 164%

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Subject: Line Charts - Quantitative Aptitude - Data Interpretation

22 7850

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 - Quantitative Aptitude - Data Interpretation

11 7700

Bar chart is suitable for

A) Minor work	B) Large project
C) Major work	D) All of the above

Answer & Explanation Answer: A) Minor work

Explanation:

Bar_chart_is_suitable_for1560488875.jpg image

A bar chart or bar graph is a chart or graph that presents data with rectangular bars. Bar charts is suitable for minor works for comparing between categories of data.

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Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

8 5993

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 - Quantitative Aptitude - Data Interpretation

12 5101

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

Number of students who qualified CAT/XAT/CET Exams

1. Which year showed the best result in MBA entrance exams (in terms of percentage of students who cleared) ?

1. 2000 2. 2001 3. 2002 4. Cannot be determined

2. What was the percentage of students who succeeded in at least one of three exams in 2000 ?

1. 82.4% 2. 82.8% 3. 82.35% 4. 83.3%

3. What is the percentage increase in the number of students in 2002 over 2000 ?

1. 30% 2. 17.64% 3. 117.6% 4. 85%

4. What is the percentage of students who cleared CAT in 2000 ?

1. 19.56% 2. 12.65% 3. 14.28% 4. 11.76%

Answer

1. ANSWER : 2

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

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

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

2. ANSWER : 3

Explanation - Total percentage of students who succeeded in at least one of three exams in 2000 = (140 x 100)/170= 82.35 %

3. ANSWER : 2

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

4. ANSWER : 4

Explanation - Total percentage of students who cleared CAT in 2000 =(20 x 100)/170 = 11.76 %

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Subject: Bar Charts - Quantitative Aptitude - Data Interpretation

23 4656

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 - Quantitative Aptitude - Data Interpretation

9 4620

The bar chart shows the sales (in '000 units) of 4 mobile brands for 3 years.

If for any year, the sales of a brand is more than average sales of these four brands in that year, then it gets a star. Which brand has the maximum stars?

A) Brand 3	B) Brand 3 and 4 both
C) Brand 4	D) All brands

Answer & Explanation Answer: C) Brand 4

Explanation:

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Filed Under: Bar Charts - Quantitative Aptitude - Data Interpretation
Exam Prep: Bank Exams

3 4431

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 - Quantitative Aptitude - Data Interpretation

6 4423

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