Data Interpretation

Directions (1-5): Go through the data set given below and solve the questions based on it.

The following pie charts show the break-up of the annual expenditures of two private sector companies:

 Q1. The amount spent on transport by PamTech is what percentage of the amount spent by RamTech on transport?

(a) 30%

(b) 35%

(c) 40%

(d) 45%

(e) None of these

S1. Ans.(c)

Sol. Amount spent by PamTech on transport = 5% of Rs. 80000 = Rs. 4000

Amount spent by RamTech on transport = 10% of Rs. 100000 = Rs. 10000

Hence, (4000 × 100)/10000 = 40%

Q2. The expenditure on raw material for both companies taken together, is what fraction of the total expenditure in 2008?

(a) 0.2 

(b) 0.25

(c) 0.3

(d) 0.4

(e) None of these

S2. Ans.(d)

Sol. (45 + 35)/ 200 = 0.4

Q3. Both RamTech and PamTech spend the same amount on which category?

(a) Rent

(b) Transport

(c) Salaries

(d) Others

(e) None of these

S3. Ans.(d)

Sol. Others for both the companies = Rs. 4000

Q4. For which category the difference in expenditure is maximum?

(a) Telephone & Electricity Bill

(b) Transport

(c) Salaries

(d) Raw Material

(e) None of these

S4. Ans.(d)

Sol. For the category, raw material the difference is maximum 

= 45000 – 28000 = Rs. 17000. 

Q5. The amount spent on salaries by PamTech is what percentage more than the amount spent by RamTech on trent?

(a) 50%

(b) 65%

(c) 60%

(d) 45%

(e) None of these

S5. Ans.(c)

Sol. Amount spent by PamTech on salaries = 20% of Rs. 80000 = Rs. 16000

Amount spent by RamTech on rent = 10% of Rs. 100000 = Rs. 10000

Required % = 6000/10000*100=60% More

Directions (6-10): Go through the data given below and solve the questions based on it.

The total population of the different states in 1993 is 25 lakhs.

States	Sex M – F
UP	4 : 3
Bihar	3 : 2
AP	4 : 3
Karnataka	4 : 5
Maharashtra	4 : 5
Tamil Nadu	3 : 4
Kerala	5 : 6

Q6. Approximately what will be the percentage of total male in UP, Maharashtra and Kerala of the total population of the given states?

(a) 20%

(b) 25%

(c) 24%

(d) 28%

(e) 22%

Q7. If in the year 1994 there was an increase of 10% population of UP and 12% of Bihar compared to the previous year, then what was the ratio of the population of UP to Bihar in 1994?

(a) 27/32

(b) 31/42

(c) 55/84

(d) 23/42

(e) None of these

Q8. Women of Andhra Pradesh is approximately what percentage of the women of Tamil Nadu?

(a) 60%

(b) 70%

(c) 50%

(d) 55%

(e) None of these

Q9. What is the ratio of the number of females in Tamil Nadu to the number of females in Kerala?

(a) 21/138

(b) 242/43

(c) 205/84

(d) 121/84

(e) None of these

Q10. In Tamil Nadu, if 70% of the females are literate and 75% of the males are literate, what is the approximate number of illiterate in the state?

(a) 75000

(b) 76500

(c) 77500

(d) 80000

(e) 74500

Directions (11-15): Go through the data given below and solve the questions based on it.

2,000 students secured admissions into the 2-year MBA programme beginning in 1997. Figure A given below provides the educational background of this batch of students. The same batch of students graduated in 1999 and had opted for different specializations as indicated in figure B given below. All the students who secured admission in 1997 passed out in 1999.

Figure A: When they entered in 1997

Figure B: When they left in 1999

Note: 20% of Engineers and 10% of (Science + Commerce) students were with some work experience before joining MBA programme. All others students were without work experience.

Q11. 40% of students with work experience specialized in Marketing. How many students with specialization in Marketing are without work experience?

(a) 352

(b) 396

(c) 440

(d) 88

(e) None of these

S11. Ans.(a)

Sol. Students with work experience

= 36% × 20% × 2000 + 10% [38% of 2000]

= 2000 × [36% × 20% + 38% × 10%] = 220

Now marketing students with work experience = 40% of 220 = 88

So, total marketing students = 22% of 2000 = 440

So, Marketing students without work experience = 440 – 88 = 352

Q12. If 50% of engineers specialized in Systems, how many non-engineers specialized in Systems?

(a) 360

(b) 0

(c) 100

(d) 160

(e) None of these

S12. Ans.(b)

Sol. Number of students specializing systems = 360

Number of engineers specializing systems = 36/100×50/100× 2000 = 360

So, number of non-engineers specializing systems = 0

Alternatively, this question can be done by seeing only the percentage values too.

Q13. What is the difference between the number of students specializing in Finance in 1999 and the number students who had CA or Commerce background?

(a) 500

(b) 480

(c) 20

(d) 40

(e) None of these

S13. Ans.(c)

Sol. Number of students specializing in finance = 25% of 2000 = 500

Total number of CA or commerce students

= (20 + 4) % of 2000 = 480

Difference = 500 – 480 

= 20

Q14. 24% of students of graduating class in 1998 specialized in finance. Find the % increase in the number of students specializing in finance from 1998 to 1999.

(a) 1%

(b) 100/24%

(c) 3%

(d) Cannot be determined

(e) None of these

S14. Ans.(d)

Sol. Since total number of students doing graduation in 1998 in not known, this question cannot be answered.

Q15. 30% of Engineers and 40% of Commerce students specialized in Finance. The remaining students who specialized in finance were Science graduates. What percentage of Science graduates opted for finance?

(a) 24.66%

(b) 34.44%

(c) 38.68%

(d) Cannot be determined

(e) None of these

S15. Ans.(b)

Sol. Number of engineers who specialized in finance = 30% × 36% × 2000 = 216

Number of commerce students who specialized in finance = 40% × 20% × 2000 = 160

So, number of Science graduates specializing in finance = (25% of 2000) – 216 – 160 = 124

∴ % of Science students specializing in finance

Data Interpretation

Directions (1-5): Study the following graph carefully and then answer the questions based on it. The percentage of five different types of cars produced by a company during two years is given below.

Total Production of Cars in 1996 was 450000

Total Production of Cars in 1997 was 520000

Q1. What was the difference in the production of C type cars between 1996 and 1997?

(a) 5000

(b) 7500

(c) 10000

(d) 2500

(e) None of these

S1. Ans.(a)

Sol. Production of C type cars in 1996

= (70 – 40)% of 450000

= 30% of 450000 = 135000

Production of C type cars in 1997

= (65 – 40)% of 520000

= 25% of 520000 = 130000

∴ Required difference = 5000.

Q2. If 85% of E type cars produced during 1996 and 1997 are being sold by the company, then how many E type cars are left unsold by the company?

(a) 142800

(b) 21825

(c) 29100

(d) 25200

(e) None of these

S2. Ans.(e)

Sol. Production of E type cars in 1996

= (100 – 80)% of 450000

= 20% of 450000 = 90000

And in 1997 = 10% of 520000 = 52000

∴ Total production = 90000 + 52000 = 142000.

∴ Required number of cars = 15% of 142000 = 21300

Q3. If the number of A type cars manufactured in 1997 was the same as that of 1996, what would have been its approximate percentage share in the total production of 1997?

(a) 11

(b) 13

(c) 15

(d) 9

(e) None of these

S3. Ans.(b)

Sol. Production of A type cars in 1997 = production of A type cars is 1996 (given) 

= (100 – 85)% of 450000 = 67500

∴ Required percentage = 67500/520000× 100 ≈ 13. 

Q4. In the case of which of the following types of cars was the percentage increase from 1996 to 1997 the maximum?

(a) A

(b) E

(c) D

(d) B

(e) C

S4. Ans.(c)

Sol. Clearly, by visual inspection D is the desired option.

Q5. If the percentage production of B type cars in 1997 was the same as that of 1996, what would have been the number of cars produced in 1997?

(a) 112500

(b) 120000

(c) 130000

(d) Data inadequate

(e) None of these

S5. Ans.(c)

Sol. Percentage production of B type cars in 1997 = that in 1996 (given)

= (40 – 15) 25% of 520000 = 130000.

Directions (6-10): The following bar graph depicts the result for BSc students of a college for the three years. Read the graph and answer the questions based on this graph.

Q6. The number of students passed in third division in 1984 was

(a) 165

(b) 75

(c) 70

(d) 65

(e) None of these

S6. Ans.(b)

Sol. Required number of students passed in third division 

= 170 – 95 = 75

Q7. The percentage of students failed in1984 was

(a) 18(1/2)%

(b) 17(3/4)%

(c) 15%

(d) 17%

(e) None of these

S7. Ans.(c)

Sol. Percentage of students failed in 1984

= 30/200× 100 = 15 %

Q8. The aggregate pass percentage during the three years was

(a) 82(44/113)%

(b) 82(55/113)%

(c) 82(26/107)%

(d) 77(29/113)%

(e) None of these

Q9. The percentage of students passed in first division in 1982 was

(a) 20%

(b) 34%

(c) 14(2/7)%

(d) 13(23/29)%

(e) None of these

Q10. The percentage of students passed in 1982 was

(a) 65%

(b) 70%

(c) 74(2/17)%

(d) 82 (22/29)%

(e) None of these

Directions (11-15): The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008.The total production in 2007 was 35 Lakh mobile phones and in 2008 the production was 44 Lakhs. Study the chart and answer the following questions. 

Percentage of six different types of mobiles manufactured by company over two years

Q11. Total number of mobiles of models A, B and E manufactured in 2007 was 

(a) 24,50,000

(b) 22,75,000

(c) 21,00,000

(d) 19,25,000

(e) None of these

 

Q12. For which models was the percentage variation in production from 2007 to 2008 the maximum? 

(a) B and C

(b) C and D

(c) D and E

(d) A and B

(e) None of these

Q13. What was the difference in the number of B type mobiles produced in 2007 and 2008?

(a) 3,55,000

(b) 2,70,000

(c) 2,25,000

(d) 1,75,000

(e) None of these

Q14. If the percentage production of A type mobiles in 2008 was same as that in 2007, then the number of A type mobiles produced in 2008 would have been 

(a) 14,00,000

(b) 13,20,000

(c) 11,70,000

(d) 10,50,000

(e) None of these

Q15. If 85% of the D type mobiles produced in each year were sold by the company, how many D type mobiles remained unsold? 

(a) 76,500

(b) 93,500

(c) 1,18,500

(d) 1,22,500

(e) None of these

Data Interpretation

Directions (1-5): Go through the charts below and answer the questions based on it. The bar-charts shown here represent the earning of a sales executive Mohit. Bar chart (1) gives us the details of his earnings in the four quarters of the year across the five regions – West, North, South, East and Central. Bar chart (2) gives the details of his total earning in the four quarters in three different years. Bar chart (1) is applicable for bar chart (2) and vice-versa.

Q1. Across the given years, which quarter has given the maximum earning to Mohit?

(a) Qtr 1

(b) Qtr 2

(c) Qtr 3

(d) Qtr 4

(e) Cannot be determined

S1. Ans.(c)

Sol. Use the second bar chart. It is a visual inspection solution.

Q2. Which region has brought maximum earning for Mohit in the year 2000?

(a) South

(b) West

(c) East

(d) Central

(e) North

Q3. What is the difference between Mohit’s earning due to the Central zone during 2001 and earning due to the East zone during 2001?

(a) 4000

(b) 1000

(c) 2000

(d) 3000

(e) 5000

S3. Ans.(d)

Sol. Mohit’s earning due to the Central zone during 2001 = 20000 * 0.3 = 6000

Mohit’s earning due to the East zone during 2000 = 10000 * 0.3 = 3000

Required Difference = 6000 – 3000 = 3000

Q4. What is the maximum difference between any two regional earnings in any quarter?

(a) Rs. 15500

(b) Rs. 13000

(c) Rs. 14500

(d) Rs. 17500

(e) None of the above

S4. Ans.(d)

Sol. Maximum quarterly zonal earnings are for central Region during quarter III, 2002 = Rs. 18000

Minimum quarterly zonal earnings are East Region during quarter II, 2000 = Rs. 500

Hence, Maximum difference = 18000 – 500 = Rs. 17500

Q5. Find the percentage change in Mohit’s earning due to the south zone during 2001 over the previous year.

(a) 14%

(b) 20%

(c) 25%

(d) 33%

(e) None of the above

Earning in South Region in 2001 

= 20000 × 0.2 + 10000 × 0.2 + 20000 × 0.3 = Rs. 12000

Earning in South Region in 2000 

= 10000 × 0.2 + 5000 × 0.2 + 25000 × 0.3 = Rs. 10500

Therefore, percentage change = 1500/10500 * 100 14.28%

Directions (6-10): Study the following graph carefully to answer the questions that follow.

Number of Students Enrolled in Three Different Disciplines in Five Different Colleges

Q6. What is the total number of students studying B.Sc. in all the Colleges together?

(a) 1825 

(b) 1975 

(c) 1650

(d) 1775 

(e) None of these

S6. Ans.(d)

Sol. Total number of students studying B.Sc. in all the colleges together 

= 350 + 325 + 300 + 375 + 425 = 1775

Q7. What is the respective ratio of total number of students studying B.Sc. in the colleges C and E together to those studying B.A. in the colleges A and B together?

(a) 24 : 23 

(b) 25 : 27 

(c) 29 : 23

(d) 29 : 27 

(e) None of these

S7. Ans.(c)

Sol. Total number of students studying B.Sc. in the colleges C and E together = 300 + 425 = 725

Total number of students studying B. A. in the colleges A and B together = 275 + 300 = 575

Required ratio = 725 : 575 = 29 : 23

Q8. What is the respective ratio of total number of students studying B.Sc., B.A. and B. Com. in all the Colleges together?

(a) 71 : 67 : 75 

(b) 67 : 71 : 75

(c) 71 : 68 : 75 

(d) 75 : 71 : 68

(e) None of these

S8. Ans.(a)

Sol. Total number of students studying B.Sc. in all the colleges together

= 350 + 325 + 300 + 375 + 425 = 1775

Total number of students studying B.A. in all the colleges

together = 275 + 300 + 325 + 450 + 325 = 1675

Total number of students studying B.com in all the colleges

together = 425 + 475 + 325 + 425 + 225 = 1875

Required ratio = B.Sc. : B.A. : B.Com.

= 1775 : 1675 : 1875 = 71 : 67 : 75

Q9. Number of students studying B.Com. in College C forms approximately what per cent of the total number of students studying B.Com. in all the colleges together?

(a) 39 %

(b) 21 %

(c) 44 %

(d) 33 %

(e) 17 %

Q10. Number of students studying B.A. in College B forms what per cent of total number of students studying all the disciplines together in that college? (rounded off to two digits after decimal)

(a) 26.86 %

(b) 27.27 %

(c) 29.84 %

(d) 32.51 %

(e) None of these

Directions (11-15): Study the following graph and pie-chart carefully to answer the questions that follow.

Percentage Breakup of Males and Females in the Five Organizations.

Q11. Total number of employees in Organization C is approximately what per cent of total number of employees in Organization D?

(a) 147 

(b) 279 

(c) 312

(d) 207 

(e) 183

S11. Ans.(d)

Sol. Required percentage = 31/15×100 = 206.67 » 207 (approx.)

Q12. What is the total number of males in all the Organizations together?

(a) 13350 

(b) 14700 

(c) 15960

(d) 16280 

(e) None of these

Total number of males in all the organizations = 1890 + 4235 + 6510 + 2100 + 1225 = 15960

Q13. What is the total number of males in Organization A and C together?

(a) 6125 

(b) 8400 

(c) 8025

(d) 7400 

(e) None of these

S13. Ans.(b)

Sol. Total number of males in organization A and C

= 1890 + 6510 =8400

Q14. What is the difference between the number of females in Organization B and the number of females in Organization E?

(a) 210 

(b) 350 

(c) 170

(d) 300 

(e) None of these

Q15. What is the number of females in Organization D?

(a) 3150

(b) 3250 

(c) 3300

(d) 3675 

(e) None of these