# 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.

• #### Table Charts

Q:

Study the following graph carefully and answer the questions that follow:

Water level of four major Rivers (in meters) in four different Months

1. what was the respective ratio between the level of River - C in September and the water level of River - B in June?

1. 91 : 101           2. 94 : 101           3. 51 : 103           4. None of these

2. If the danger level of all the four rivers is above 215 m, which river has not crossed the danger level in August but has crossed the danger level in July ?

1. River - A          2. River - B          3. River - C          4. River - D

3. What is the average water level of River - A in all the four months together ?

1. 224.50 m        2. 212.25 m        3. 210.75 m        4. 222.25 m

4. In which river and in which month respectively the water level is highest ?

1. River - C in August     2. River - D in September     3. River - B in July     4. River - D in August

5. If the water level of River - A in July is decreased by 20 percent, then what will be the water level of River - A in July ?

1. 156 m              2. 162 m              3. 164 m            4. 152 m

Explanation : The water level of River-C in September = 184 and water level of River-B in June = 202

Required ratio = 184 : 202   => 92 : 101

Explanation : Average water level of River-A in all months =$196+205+230+2124$= 210.75 m

Explanation : Water level of River-A in July after decreasing =$205×80100$ = 41 x 4 = 164m

4004
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%

Explanation :  Quantity of Guava at Shop A = $1200×10100$ = 120 kg

Quantity of Guava at Shop B = $1000×16100$= 160 kg

Therefore, Required difference = 160 - 120 = 40 kg

Explanation : Cost of Mango at Shop A = $30×1200×24100$= Rs. 8640

Cost of Apple = $40×1200×16100$ = Rs. 7680

Cost of Orange = $20×1200×20100$ = Rs.4800

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

Explanation : Quantity of Mango at Shop B = $1000×24100$ = 240 kg

Quantity of Mango at Shop A =$1200×24100$ = 288 kg

Therefore, Req % = $288×100240$ = 120% of the quantity of Mango at Shop A

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

=

= Rs. 28680

Cost of Total Fruits at Shop B

=

= 7200 + 5600 + 2880 + 4000 + 3900

= Rs. 23580

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

Explanation: Quantity of Orange at Shop A = $1200×20100$ = 240 kg

Quantity of Apple at Shop B =$1000×14100$ = 140 kg

Therefore, Req % = $240×100140$ = 171.42% more than the quantity of Apple at Shop B.

3790
Q:

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%

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%

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

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

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

2920
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

Explanation : Required Percentage =$100-5050×100$= 100%

Explanation : The average production of P = $60+90+50+100+805$= 76

The average production of Q =$50+70+70+80+1005$  = 74

The average production of R = $70+80+90+70+705$ = 76

Maximum average production = P and R both

Explanation : The percentage rise in 2010 =$70-5050×100$ = 40%

The percentage rise in 2011 = $70-7070×100$= 0%

The percentage rise in 2012 = $80-7070×100$= 14.28%

The percentage rise in 2013 =$100-8080×100$ =25%

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

in 2009 =$7050×100$ = 140

in 2010 =$8070×100$ = 114.28

in 2011 =$9070×100$ = 128.57

in 2012 = $7080×100$= 87.5

in 2013 = $70100×100$= 70

Explanation : Average production of company P during the years 2011 to 2013 =$50+100+803$ = $2303$

Average production of company Q during the years 2011 to 2013 =$70+80+1003$ = $2503$

Required ratio = 23 : 25

2593
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%

Explanation : Required ratio = $10+2+510+15+10=1735≈12=1:2$

Explanation :

A to B Speed =$140×35$  = 84

B to C Speed = $91×34$ = 68.25

C to D Speed = $149×60103$ = 86.796

D to E Speed = $88×34$ = 66

E to F Speed =  $106×45$= 84.8

F to G Speed = $1762$ = 88

G to h Speed =  $110×45$= 88

Average speed of entire trip = $84+68.25+86.796+66+84.8+88+887$ =80.83

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

Total half time, if the train stops at each city for 50% more=$52×150100$=78

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

Explanation : Average speed = $84+68.25+86.796+66+84.8+88+887$=80.83=81 km/hr

Explanation :  Required percentage of time = $1.40+1.20+1.43+1.20+1.15+2+1.1518.25-7×100$$10.2311.25×100$ = 91.8 %

2296
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%

Explanation : Expenditure of Company B = 60 lakh

Income of Company B = $60×180100$= 108 lakh = 1 crore 8 lakh

Income of Company A  = $10800000×45$ = Rs. 8640000

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

Explanation :  Total expenditure on the employees of company A = $5000000×28100$ = Rs.1400000

Average Salary of the employees  = $1400000100$ = Rs.14000

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

= $5000000×14100$$6000000×6100$

= 700000 : 3600000  = 35 : 18

Explanation : Difference = $6000000×34100-5000000×28100$

= 2040000 - 1400000 = Rs.640000

Explanation :  Expenditure on Machine and Electricity of Company B = $6000000×18100$ = Rs.1080000 = 10.8 lakh

Expenditure on Machine and Electricity of Company A = $5000000×12100$ = Rs.600000 = 6 lakh

Therefore, Required % = $1080000-600000600000×100$  % = $4860×100$% = 80%

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

2079
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

Explanation : Let the borrowing of Company A = x

Interest of Company A = 234000

Rate of Interest = 18%

Let the borrowing of Company B = y

Interest of Company B = 576000

Rate of interest = 24%

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

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

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 = $100400×100$ = 25% less

Explanation :

Profit made by company A = Rs. 200 lakh

Profit made by company B = Rs. 500 lakh

Required Sum = 200 + 500 = Rs. 700 lakh

Explanation :

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

1763
Q:

The following Line chart gives the ratio of the amounts of imports by a Company to the amount of exports from that Company over the period from 1995 to 2001. Answer the following questions based on fo

1. In how many of the given years were the exports more than imports ?

A. 1                          B. 2                          C. 3                          D.4

2. The imports were minimum proportionate to the exports of the Company in the year :

A. 1997                    B. 1995                    C. 1996                    D. 2000

3. If the imports of a company in 1996 was Rs. 272 crores, the exports from the company in 1996 was:

A. Rs 120 Cr            B. Rs 220 Cr            C. Rs 320 Cr            D. Rs 420 Cr

4. What was the percentage increase in imports from 1997 to 1998 ?

A. 70                        B. 72                        C. 74                        D. Data Inadequate

5. If the imports in 1998 was Rs. 250 crores and the total exports in years 1998 and 1999 together was Rs 500 crores, then the imports in 1999 was :

A. Rs.320 Cr            B. Rs.420 Cr            C. Rs.520 Cr            D. Rs.620 Cr

Explanation -  Clearly the exports are more than the imports implies that the ratio of value of imports to exports in less than 1. So years are 1995, 1996, 1997 and 2000. So these are four years

Explanation - Clearly from the line graph we can judge it is minimum in year 1997.

Explanation -  We are given with the ratio of imports and exports in the line graph.
Let the exports from the company in 1996 was x then,

272/x = 0.85

=> x = 272/0.85

=> x = 320

Note: Please not that we are given the ratio of imports to exports, so export will will in denominator .

Explanation - For calculating the percentage we will need value of exports, imports etc. We are only given with the ratio. So data in Inadequate.

Note: Please note in charts questions, most probably it includes 1 or more than 1 questions which are percentage based. So please clear percentage questions before preparing it. Because this is very scoring section.

Explanation - 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 = (500-x) crores

=> 1.25 = 250/x [because 1.25 is 1998 ratio]

=> x = 250/1.25 = 200 crore

Thus the exports in the year 1999 were 500 - 200 = 300 crore

Let the imports in the year 1999 = Rs y crore

Then 1.40 = y/300

=> y = 1.40 x 300 = 420 crore