Data Interpretation

Directions (1-5): Study the following pie-chart and bar chart and answer the following questions. 

Percentage wise distribution of students in six different schools 

Total number of students = 6000

Percentage of students 

Number of boys out of 6000 students in each school separately 

 

Q1. What is the total number of girls in school C, number of girls in school E and the number of boys in school D together?    

(a) 1700

(b) 1900

(c) 1600

(d) 1800

(e) None of these 

Q2. What is the respective ratio between the number of boys in school C, number of girls in school B and total number of students in school E?  

(a) 45 : 7 : 97

(b) 43 : 9 : 97 

(c) 45 : 7 : 87 

(d) 43 : 9 : 87 

(e) None of these 

Q3. What is the difference between the total number of students in school F and the number of boys in school E? 

(a) 820

(b) 860

(c) 880

(d) 900 

(e) None of these

Q4. In which school the total number of students (both boys and girls) together are equal to the number of girls in school E? 

(a) A 

(b) B

(c) C

(d) D

(e) F

Q5. Number of girls in school A is approximately what per cent of total number of students in school B?  

(a) 55

(b) 50

(c) 35

(d) 45

(e) 41

Directions (6-10): Study the following pie-chart and table carefully to answer these questions. 

State wise details of adult population of a country.

Graduate and above, total number = 24 Lakhs  

Upto XII Std. Pass, Total number = 32 lakhs 

Male-Female (M : F) Ratio
States     Graduate and Above		Upto XII standard Pass
	M : F	M : F
A	7 : 5	7 : 9
B	5 : 3	3 : 5
C	5 : 4	4 : 5
D	9 : 8	5 : 7
E	9 : 7	9 : 10
F	4 : 3	3 : 2

Q6. What is the difference between graduate male population and XII standard male population from state A? 

(a) 24000

(b) 14000

(c) 28000

(d) 36000

(e) None of these 

Q7. What is the ratio between graduate female population of state E and standard XII female population of state D respectively? 

(a) 7 : 5

(b) 5 : 7 

(c) 16 : 15

(d) 15 : 16

(e) None of these 

Q8. Graduate female population of state C is what per cent of the standard XII female population of the state?  

(a) 40

(b) 62.5

(c) 50

(d) 52.5

(e) None of these

Q9. Class XII male population of state C is what per cent of the total standard XII population of all the state together?  

(a) 8%

(b) 12%

(c) 11%

(d) 9%

(e) None of these 

 

Q10. What is the ratio between the graduate male population of state E and standard XII female population of that state respectively?  

(a) 28 : 35 

(b) 35 : 28 

(c) 32 : 45 

(d) 45 : 32 

(e) None of these 

Directions (11-15): Study the following information carefully to answer the questions that follow. 

There are two trains, Train A and Train B. Both trains have four different types of coaches viz. General coaches, Sleeper coaches, First class Coaches and AC coaches. In train A there are total 700 passengers.

Train B has thirty percent more passengers than train A. Twenty percent of the passengers of train A are in general coaches. One fourth of the total number of passengers of train A are in AC coaches.

Twenty three percent of the passengers of train A are in sleeper class coaches. Remaining passengers of train A are in first class coaches. Total number of passengers in AC coaches in both the trains together is 480. Thirty percent of the number of passengers of train B is in sleeper class coaches. 

Ten percent of the total passengers of Train B are in first class coaches. Remaining passengers of train B are in general class coaches. 

Q11. What is the respective ratio between the number of passengers in first class coaches of Train A and number passengers in sleeper class coaches of train B?     

(a) 13 : 7 

(b) 7 : 13

(c) 32 : 39

(d)  Data inadequate 

(e) None of these 

Q12. What is the total number of passengers in the general coaches of train A and the AC coaches of train B together? 

(a) 449

(b) 459

(c) 435

(d) 445 

(e) None of these 

Q13. What is the difference between the number of passengers in the AC coaches of train A and total number of passengers in sleeper class coaches and first class coaches together of Train B? 

(a) 199

(b) 178

(c) 187

(d) 179 

(e) None of these 

Q14. Total number of passengers in general class coaches in both the trains together is approximately what percentage of total number of passengers in train B? 

(a) 35

(b) 42

(c) 46

(d) 38

(e) 31 

Q15. If cost of per ticket of first class coach ticket is Rs. 450, what total amount will be generated from first class coaches of Train A? 

(a) Rs. 100080

(b) Rs. 108000

(c) Rs. 100800

(d) Rs. 10800

(e) None of the above 

Solutions

Quant Questions

Directions (1-5): A soft-drink company prepares drinks of three different flavours – X, Y and Z. The production of the three flavours over a period of six years has been expressed in the bar-graph provided below. Study the graph and answer the questions based on it.

Production of three different flavours of soft-drinks X, Y, Z by a 

Company over the year (in lakh bottles)

Q1. For which of the following years the percentage of rise/fall in production from the previous year is the maximum for the flavor Y?

(a) 1996

(b) 1997

(c) 1998

(d) 1999

(e) 2000

Q2. For which flavor was the average annual production maximum in the given period?

(a) X only

(b) Y only

(c) Z only

(d) X and Y

(e) X and Z

Q3. The total production of flavor Z in 1997 and 1998 is what percentage of the total production of flavor X in 1995 and 1996?

(a) 96.67%

(b) 102.25%

(c) 115.57%

(d) 120%

(e) 133.33%

Q4. What is the difference between the average production of flavor X in 1995, 1996 and 1997 and the average production of flavor Y in 1998, 1999 and 2000?

(a) 50,000 bottles

(b) 80,000 bottles

(c) 2,40,000 bottles

(d) 3,30,000 bottles

(e) 5,00,000 bottles

Q5. What was the approximate decline in the production of flavor Z in 2000 as compared to the production in 1998?

(a) 50%

(b) 42%

(c) 33%

(d) 25%

(e) 22.5%

Directions (6-10): The bar-graph given below shows the percentage distribution of the total production of a car manufacturing company into various models over two years. Study the graph carefully and answer the questions that follow.

Percentage of Six different types of Cars manufactured by a Company over two years

Q6. Total number of cars of models P, Q and T manufactured in 2000 is:

(a) 2,45,000

(b) 2,27,500

(c) 2,10,000

(d) 1,92,500

(e) 1,57,500

Q7. For which model the percentage rise/fall in production from 2000 to 2001 was minimum?

(a) Q

(b) R

(c) S

(d) T

(e) U

Q8. What was the difference in the number of Q type cars produced in 2000 and that produced in 2001?

(a) 35,500

(b) 27,000

(c) 22,500

(d) 17,500

(e) 16,000

Q9. If the percentage production of P type cars in 2001 was the same as that in 2000, then the number of P type cars produced in 2001 would have been:

(a) 1,40,000

(b) 1,32,000

(c) 1,17,000

(d) 1,05,000

(e) 97,000

Q10. If 85% of the S type cars produced in each year were sold by the Company, how many S type cars remained unsold?

(a) 7650

(b) 9350

(c) 11,850

(d) 12,250

(e) 13,350

Q11. A box contains 4 red balls, 5 green balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?

(a) 2/5

(b) 3/5

(c) 1/5

(d) 7/15

(e) None of these

Q12. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

(a) 21/46

(b) 25/117

(c) 1/50

(d) 3/25

(e) None of these

Q13. Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is:

(a) 1/9

(b) 1/5

(c) 1/12

(d) 10/21

(e) None of these

Q14. A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is:

(a) 4/19

(b) 7/19

(c) 12/19

(d) 21/95

(e) None of these

Q15. In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi?

(a) 2/5

(b) 3/4  

(c) 3/5

(d) 3/10

(e) None of these

Solutions

S1. Ans.(b)

Sol. The percentage rise/fall in production from the previous year for flavor Y during various years are:

S2. Ans.(b)

Sol. Average annual productions over the given period for various flavours are:

For flavour X = [1/6×(50+40+55+45+60+50)] lakh bottles = 50 lakh bottles.

For flavour Y = [1/6×(55+60+50+55+50+55)] lakh bottles

= 54.17 lakh bottles.

For flavour Z = [1/6×(45+50+60+60+45+40)] lakh bottles = 50 lakh bottles.

∴ Maximum average production is for flavor Y.

S6. Ans.(c)

Sol. We shall first determine the number of cars of each model produced by the Company during the two years:

In 2000: Total number of cars produced = 3,50,000.

P = (30 – 0)% of 3,50,000 = 30% of 3,50,000 = 1,05,000

Q = (45 – 30)% of 3,50,000 = 15% of 3,50,000 = 52,500

R = (65 – 45)% of 3,50,000 = 20% of 3,50,000 = 70,000

S = (75 – 65)% of 3,50,000 = 10% of 3,50,000 = 35,000

T = (90 – 75)% of 3,50,000 = 15% of 3,50,000 = 52,500

U = (100 – 90)% of 3,50,000 = 10% of 3,50,000 = 35,000.

In 2001: Total number of cars produced = 4,40,000.

P = (40 – 0)% of 4,40,000 = 40% of 4,40,000 = 1,76,000

Q = (60 – 40)% of 4,40,000 = 20% of 4,40,000 = 88,000

R = (75 – 60)% of 4,40,000 = 15% of 4,40,000 = 66,000

S = (85 – 75)% of 4,40,000 = 10% of 4,40,000 = 44,000

T = (95 – 85)% of 4,40,000 = 10% of 4,40,000 = 44,000

U = (100 – 95)% of 4,40,000 = 5% of 4,40,000 = 22,000

Now, we shall solve the questions.

Total number of cars of models P, Q and T manufactured in 2000

= (105000 + 52500 + 52500) = 2,10,000.

S7. Ans.(b)

Sol. Using the above calculation, the percentage change (rise/fall) in production from 2000 to 2001 for various model is:

∴ Minimum percentage rise/fall in production is in the case of model R.

S8. Ans.(a)

Sol. Required difference = 88000 – 52500 = 35500

S9. Ans.(b)

Sol. If the percentage production of P type cars in 2001 = percentage production of P type cars in 2000 = 30%

Then, number of P type cars produced in 2001 = 30% of 440000 = 132000.

S10. Ans.(c)

Sol. Number of S type cars which remained unsold in 2000 = 15% of 35000

and number of S type car which remained unsold in 2001 = 15% of 44000

∴ Total number of S type cars which remained unsold

= 15% of (35000 + 44000) = 15% of 79000 = 11850.

Data Interpretation

Directions (1-5): Study the following information carefully to answer the given questions.

A chartered accountancy firm having 450 employees has sent all its employees for training in one or more areas among HRM, Computer skills and Financial skills. The employees are classified into two categories – Officers and Executives – in the ratio of 4 : 5. 10% of the Officers take training only in Computer skills. 16% of the Executives take training only in HRM, which is equal to the number of Officers taking training only in Financial skills. And 40% of the Officers are taking training in HRM and Financial skills both. 6% of the total employees are taking training in all the three areas and of these, two-third are Officers. 10% of the total employees are taking training in HRM and Computer skills both. The number of Officers taking training only in HRM is 25% of the number of Executives taking training only in HRM. 20% of the total number of employees are taking training only in Computer skills. The number of Executives taking training in HRM and Financial skills both is 20% of the total number of Executives. There is no such executive as takes training in both Financial skills and Computer skills but not in HRM. Among the employees who take training in both HRM and Computer skills but not in Financial skills, the ratio of officers to executives is 1 : 8

Q1. How many Executives are taking training in Financial skills?

(a) 124

(b) 120

(c) Can’t be determined

(d) 80

(e) None of the above

S1. Ans.(a)

Sol. No. of Executives taking training in Financial skill = 74 + 41 + 9 = 124

Q2. How many Officers are taking training in Computer skills?

(a) 22

(b) 88

(c) 58

(d) 40

(e) None of the above

S2. Ans.(b)

Sol. Total no. of Officers taking training in Computer skills = 20 + 2 + 18 + 48 = 88

Q3. How many Executives are taking training in HRM but not in Computer skills?

(a) 90

(b) 106

(c) 81

(d) 80

(e) None of the above

S3. Ans.(c)

Sol. Number of Executives = 40 + 41 = 81

Q4. What percent of the total number of Officers are taking training in Financial skills but not in HRM?

(a) 70%

(b) 44%

(c) 40%

(d) 35%

(e) None of the above

Q5. How many employees are taking training in Financial skills?

(a) 280

(b) 295

(c) 292

(d) 287

(e) None of the above

S5. Ans.(c)

Sol. Total no. of employees taking training in Financial skills = 62 + 41 + 18 + 9 + 48 + 0 + 40 + 74 

= 292

Directions (6-10): Study the given information carefully to answer the questions.

Sidhartha has decided to start a new company ‘Sidhartha Travels’. He wants to buy some furniture – table, chair, air conditioners. He also wants to buy a few desktops which will include monitor, CPU, Keyboard and mouse. The cost of each table is 13.5 times the cost of a mouse and the cost of a chair is 3/5 of the cost of a table. The cost of an air conditioner is 5 times the cost of a chair. The cost of a monitor is 20% more than the cost of a chair, A CPU costs Rs. 1500 more than a table and the keyboard costs 4 times a mouse. The cost of a mouse is Rs. 1000.

Q6. What will be the total cost of 1 table and 2 chairs together?

(a) Rs. 23,200

(b) Rs. 28,800

(c) Rs. 29,700

(d) Rs. 24,700

(e) Rs. 21,300

(6-10)

Cost of Table – 13500

Cost of Chair – 8100

Cost of AC – 40500

Cost of Monitor – 9720

Cost of CPU – 15000

Cost of Keyboard – 4000

Cost of Mouse – 1000

S6. Ans.(c)

Sol.  Total Cost = 13500 + (2 * 8100) = 29700

Q7. What is the ratio of the cost of a CPU to the total cost of a mouse and a keyboard together?

(a) 3:2

(b) 4:1

(c) 3:1

(d) 5:1

(e) 5:3

Q8. If the cost of a keyboard and a mouse increases by 20% and 15% respectively, what will be the total cost of a desktop (given that the cost of a CPU and a monitor is the same)?

(a) Rs. 36,930

(b) Rs. 32,640

(c) Rs. 34,753

(d) Rs. 30,670

(e) Rs. 35,425

Q9. Sidhartha bought 1 table, 1 chair and 1 desktop for himself. What was the total cost incurred to him?

(a) Rs. 53,400

(b) Rs. 51,460

(c) Rs. 50,640

(d) Rs. 55,440

(e) Rs. 51,320

S9. Ans.(e) 

Sol. Total cost = 13500 + 8100 + 1000 + 4000 + 9720 + 15000 = Rs. 51320 

Q10. It was initially decided that 4 air conditioners will be installed but later only 3 air conditioners and a fan were installed. If the cost of a fan is 1/10 of the cost of an air conditioner, what was the total cost incurred?

(a) Rs. 1,29,400

(b) Rs. 1,24,500

(c) Rs. 1,25,550

(d) Rs. 1,24,350

(e) Rs. 1,25,600

Directions (11-15): Study the given bar graph carefully to answer the questions.

The production of tea (in tones) by different companies for three years 2013, 2014 and 2015 respective. 

Q11. The total production of five companies in 2015 is what percent of the total production by Company B and D together in 2013?

(a) 100%

(b) 150%

(c) 175%

(d) 200%

(e) 225%

Q12. What is the ratio of the production by Company B in the given three years to the production by Company C in the given three years?

(a) 6:7

(b) 8:7

(c) 7:8

(d) 7:6

(e) None of the above

 

Q13. For which company was the rise or fall in the production of tea from 2013 to 2014 the maximum?

(a) A

(b) B

(c) C

(d) D

(e) E

Q14. The production of tea of Company E in the year 2013 is approximately what percent of the total production of Company C in all the given years? 

(a) 32.5%

(b) 45%

(c) 38%

(d) 45.5%

(e) None of the above

S14. Ans.(c)

Sol. Production of tea of Company E in 2013 = 40

Total production of tea of Company C in all the given years = 25 + 35 + 45 = 105

∴ Required % = 40/105× 100 = 38.09% ≈ 38%

Q15. The ratio of the average production of all companies in 2013 to that of all the companies in 2014 is

(a) 38:37

(b) 37:38

(c) 37:39

(d) 39:37

(e) None of the above