Wednesday, 2 August 2017

Data Interpretation



Directions (1-5): Study the table and answer the given questions.
Data related to salary structure of five individuals from different organisations in March 

Individuals
Basic
Salary
Total Allowance
Total Deduction
Net Salary
P
Rs. 21800
Rs. 28600
-
-
Q
-
-
Rs. 4350
Rs. 25850
R
Rs. 10400
Rs. 12400
Rs. 2800
Rs. 20000
S
Rs. 11200
Rs. 13800
-
-
T
-
Rs. 21600
Rs. 5700
-

(i) Total deduction = Provident Fund Deduction (which is 10% of basic salary) + Other deductions 
(ii) Net salary = Basic salary + Total allowance - Total deduction 
(iii) Few values are missing in the table (indicated by). A candidate is expected to calculate the missing value, if it is required to answer the given question, on the basis of the given data and information. 

Q1. If other deductions of P was Rs. 4720, then what was his net salary?    
(a) Rs. 42500
(b) Rs. 43500
(c) Rs. 43000
(d) Rs. 41500
(e) Rs. 42000 

S1. Ans.(b) 
Sol.  We know that,
Net salary = Basic salary + Total allowance - Total deduction 
Total deduction = PF deduction (10% of basic salary) + Other deduction 
= 10% of 21800 + 4720 = 2180 + 4720 = 6900 
Net salary = 21800 + 28600 - 6900 = Rs. 43500  

Q2. If Q’s total allowance was Rs. 3000 more than his basic salary, what was his total allowance?  
(a) Rs. 17000
(b) Rs. 17500
(c) Rs. 16000
(d) Rs. 16600
(e) Rs. 15500 

S2. Ans.(d)
Sol. Let the basic salary of Q be Rs. x 
∴ Total allowance of Q is Rs. (x + 3000) 
Net salary = Basic salary + Total allowance - Total deduction 
⇒ 25850 = x + x + 3000 - 4350 
⇒ 25850 = 2x - 1350 ⇒ 2x = 25850 + 1350 
⇒ 2x = 27200 
⇒ x = Rs. 13600 
∴ Total allowance of Q is 13600 + 3000 = Rs. 16600. 

Q3. If the respective ratio of Provident Fund deduction and other deductions of S was 7 : 13, then what was S’s other deduction?  
(a) Rs. 2160
(b) Rs. 2080
(c) Rs. 2120
(d) Rs. 2040
(e) Rs. 1980 

S3. Ans.(b)
Sol. Let the PF deduction and other deduction of S be 7x and 13x 
It is given that, 10% of 11200 = PF deduction 
⇒ 10/100×11200 = PF deduction 
⇒ PF deduction = Rs. 1120 
∴ Other deduction of S =13x/7x×1120 = Rs. 2080   

Q4. Basic salary of S is what per cent more than the basic salary of R?  

 

Q5. If other deductions of T was Rs. 4000, what was his net salary?  
(a) Rs. 32500
(b) Rs. 32900
(c) Rs. 32700
(d) Rs. 31700
(e) Rs. 32300 

S5. Ans.(b)
Sol. Total deduction of T = PF deduction + 4000 
Let the basic salary of T be Rs. x 
So, 5700 = 10% of x + 4000 
⇒ x/10 = 5700 - 4000
⇒ x/10=1700 
⇒ x = Rs. 17000 
Net salary = 17000 + 21600 - 5700 = 38600 - 5700 = Rs. 32900  

Directions (6-10): This data is regarding total number of employees working in administration (admin), operations (ops.) and Other departments of corporate division of companies. A and B study the data carefully and answer the questions given below it.
The total number of employees working in both the companies together is 4800. The respective ratio of number of employees in companies A and B is 5 : 7. Each employee works in only one of the mentioned departments. In company A, 70% of the total employees are males. 60% of the total male employees work in ‘ops’. Out of the remaining male employees 1/8th work in ‘admin’. Out of the total female employees, 24% work in ‘admin’ and 5/8th of the remaining female employees work in ‘ops’. In company B, 80% of the total employees are males. 65% of the total male employees work in ‘ops’. Number of male employees who work in ‘other departments’ in company B is 20% more than the male employees work in ‘other departments’ in company A. Number of female employees who works in ‘ops’ in company B are less than the number of male employees who work for ‘ops’ in the same company, by 75%. Out of the remaining female employees, 25% work in ‘admin’. 

Q6. What amount of total number of male employees in company A work in other departments?  
(a) 590
(b) 490
(c) 390
(d) 290
(e) 190 

(6-10): 
According to the given information,


Company A
(2000)
Company B
(2800)

Females
(600)
Males
(1400)
Females
(560)
Males
(2240)
admin
144
70
49
196
ops
285
840
364
1456
other departments
171
490
147
588

S6. Ans.(b)
Sol. Number of male employees in company A working in others department = 490

Q7. What is the difference between the number of female employees working in Admin department in company A and the number of female employees working in ‘admin’ department in company B?   
(a) 92
(b) 98
(c) 95
(d) 94
(e) 99 

S7. Ans.(c) 
Sol. ∴ Required difference = 144 - 49 = 95 

Q8. What is the total number of female employees who work in ops in company A and B together?  
(a) 681
(b) 781
(c) 689
(d) 649
(e) 788 

S8. Ans.(d)
Sol. Total number of female employees working in ops, company A and company B together 
= 285 + 364 = 649  

Q9. What is the difference between the average number of males working in admin in both the companies together and average number of females working in other departments in both the companies together?   
(a) 26
(b) 36
(c) 16
(d) 24
(e) 14 
 

S9. Ans.(a)
Sol. Average number of males working in admin department in both the companies together =(70 + 196)/2=133 
Average number of females working in other department in both the companies together =(171 + 147)/2=159 
∴ Required difference = 159 - 133 = 26 

Q10. In company B, what is the respective ratio between the total number of employees (both male and female), who work in admin and the total number of employees (both male and female) who work in other department in the same company?  
(a) 2 : 3 
(b) 1 : 3 
(c) 1 : 4 
(d) 3 : 5 
(e) 1 : 5 

S10. Ans.(b)
Sol. Total number of employees (both male and female) who work in admin in company B = 196 + 49 = 245 
Total number of employees (both male and female) who works in other department in company B = 588 + 147 = 735 
∴ Required ratio = 245 : 735 = 49 : 147 = 1 : 3 

Directions (11-16): Refer to the graph and answer the given questions. 

 

Q11. Out of the total number of projects handled by company A in 2005 and 2006 together, 20% were governmental projects. What was the total number of governmental projects handled by company A in 2005 and 2006 together?  
(a) 108
(b) 132
(c) 128
(d) 116
(e) 122 

S11. Ans.(e)
Sol. Number of governmental projects handled by company A in 2005 
And 2006 together = 20% of (360 + 250) =20/100×610=122  

Q12. The project handled by company can be broadly classified into types : governmental projects and non-governmental projects. If the average number of non-governmental projects handled by company B in 2003 and 2004 is 127, then what is the total number of governmental projects handled by the same company in 2003 and 2004 together?  
(a) 204
(b) 188
(c) 192
(d) 196
(e) 212 

S12. Ans.(d)
Sol. Number of non- governmental projects handled by company B in 2003 and 2004 
= 127 × 2 = 254
Number of governmental projects handled by company B in 2003 and 2004 = (130 + 320) -254 = 450 - 254 = 196  

Q13. Number of projects handled by company B decreased by what per cent from 2004 to 2006?  


 S13. Ans.(e)
Sol. Number of projects handled by company B in 2004 = 320 
Number of projects handled by company B in 2006 = 190

Q14. If the number of projects handled by company A increased by 20% from 2007 to 2008 and by 5% from 2008 to 2009, then what was the number of projects handled by company A in 2009?   
(a) 378 
(b) 372
(c) 384
(d) 396
(e) 368 

S14. Ans.(a)
Sol. Number of projects handled by company A in 2008 
= 120% of 300 
=120/100×300=360 
Number of projects handled by company A in 2009 
= 105% of 360 
=105/100×360=378 

Q15. What is the difference between the total number of projects handled by company A in 2003 and 2004 together and total number of projects handled by company B in 2005 and 2007 together?  
(a) 120
(b) 150
(c) 130
(d) 180
(e) 170 

S15. Ans.(b)
Sol. Total number of projects handled by company A in 2003 and 2004 together = 180 + 230 = 410 
Total number of projects handled by company B in 2005 and 2007 together = 210 + 350 = 560 
∴ Required difference = 560 - 410 = 150  


Data Interpretation


Directions (1-5): Study the graphs carefully to answer the questions that follow.
Total number of children in 6 different schools and the percentage of girls in them





Q1. What is the total percentage of boys in schools R and U together? (rounded off to two digits after decimal)    
(a) 78.55
(b) 72.45
(c) 76.28
(d) 75.83
(e) None of these 

Q2. What is the total number of boys in school T?  
(a) 500
(b) 600
(c) 750
(d) 850
(e) None of these 

Q3. The total number of students in school R, is approximately what per cent of the total number of students in school S?  
(a) 89
(b) 75
(c) 78
(d) 82
(e) 94

Q4. What is the average number of boys in schools P and Q together?  
(a) 1425
(b) 1575
(c) 1450
(d) 1625
(e) None of these 

Q5. What is the respective ratio of the number of girls in schools P to the number of girls in school Q?  
(a) 27 : 20
(b) 17 : 21
(c) 20 : 27 
(d) 21 : 17 
(e) None of these 

Directions (6-10): Study the following pie-chart and table carefully to answer the questions.
Degree wise breakup of employees working in various departments of an organisation and the ratio of men to women
Total number of employees = 3250

Department
Men  : women
Production
4 : 1
HR
12 : 13
IT
7 : 3
Marketing
3 : 2
Accounts
6 : 7

Q6. What is the number of men working in the Marketing department? 
(a) 462
(b) 454
(c) 418
(d) 424
(e) None of these 

Q7. What is the respective ratio of the number of women working in the HR department and the number of men working in the IT department?  
(a) 11 : 12
(b) 17 : 29 
(c) 13 : 28 
(d) 12 : 35 
(e) None of these 

Q8. The number of men working in the Production department of the organisation forms what per cent of the total number of employees working in the department?  
(a) 88
(b) 90
(c) 75
(d) 65
(e) None of these 

Q9. The number of women working in the IT department of the organisation forms what per cent of the total number of employees in the organisation from all departments together? 
(a) 3.2
(b) 4.8
(c) 6.3
(d) 5.6 
(e) None of these 
 
Q10. What is the total number of men working in the organisation? 
(a) 2198
(b) 2147
(c) 2073
(d) 2236
(e) None of these 

Directions (11-17): Study the given graph and table and answer the questions given below: 
In year 1993 the data of different States
regarding population of states
Total population of all states = 25 lakhs



Sex and literacy wise population ratio
States
Sex
Literacy

M : F
Literate : illiterate
UP
5 : 3
2 : 7
Bihar
3 : 1
1 : 4
AP
2 : 3
2 : 1
Karnataka
3 : 5
3 : 2
Maharashtra
3 : 4
5 : 1
Tamil Nadu
3 : 2
7 : 2
Kerala
3 : 4
9 : 4

Q11. Approximately what is the total number of literate people in Maharashtra and Karnataka together?  
(a) 4.5 lakh 
(b) 6.5 lakh 
(c) 3 lakh 
(d) 3.5 lakh 
(e) 6 lakh 

Q12. 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) 18%
(c) 28%
(d) 30%
(e) 24% 

Q13. 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) 5 : 4
(b) 40 : 50
(c) 48 : 55 
(d) 55 : 48 
(e) None of these 

Q14. What was the approximate percentage of women of Andhra Pradesh to the women to Tamil Nadu?  
(a) 90%
(b) 112.5%
(c) 120%
(d) 85%
(e) 95%

Q15. What is the ratio of the number of females in Tamil Nadu to the number of females in Kerala?  
(a) 1 : 2
(b) 1 : 1
(c) 2 : 1
(d) 2 : 3 
(e) None of these

Solutions












Data Interpretation


Directions (1-5): Study the following pie-charts carefully to answer the questions that follow. 
Percentage break-up of number of children in five different villages and break up of children attending school from these villages. 



Q1. What is the respective ratio of total number of children from village O to the number of children attending school from the same village? 
(a) 204 : 145 
(b) 179 : 131 
(c) 167 : 111
(d) 266 : 137 
(e) None of these 

Q2. What is the number of children attending school from village N?  
(a) 145
(b) 159
(c) 170
(d) 164
(e) None of these 

Q3. What is the total number of children not attending school from villages M and N together?  
(a) 69
(b) 56
(c) 76
(d) 63
(e) None of these 

Q4. What is the total number of children from villages P and M together?  
(a) 1422
(b) 1142
(c) 1122
(d) 1211
(e) None of these 

Q5. The number of children attending school from village L is approximately what per cent of the total number of children from that village?   
(a) 78
(b) 72
(c) 57
(d) 84
(e) 66 

Direction (6-10): Study the given pie-charts carefully to answer the questions that follow. 
Break up of number of employees working in different departments of an organisation, the number of males and the number of employees who recently got promoted in each department. Break up of employees working in different departments






Q6. If half of the number of employees who got promoted from the IT department were males, what was the approximate percentage of males who got promoted from the IT department?   
(a) 61
(b) 29
(c) 54
(d) 42
(e) 38 

Q7. What is the total number of females working in the production and marketing departments together? 
(a) 468
(b) 812 
(c) 582
(d) 972 
(e) None of these 

Q8. How many females work in the accounts department?  
(a) 618
(b) 592
(c) 566
(d) 624
(e) None of these 

Q9. The total number of employees who got promoted from all the departments together was what per cent of the total number of employees working in all the departments together? (rounded off to the nearest integer)   
(a) 56
(b) 21
(c) 45
(d) 33
(e) 51 
 
Q10. The number of employees who got promoted from the HR department was what per cent of the total number of employees working in that department? (rounded off to two digits after decimal)  
(a) 36.18
(b) 30.56 
(c) 47.22
(d) 28.16
(e) None of these 

Directions (11-15): Study the information carefully to answer the questions that follow.
A school consisting of a total of 1560 students has boys and girls in the ratio of 7 : 5, respectively. All the students are enrolled in different types of hobby classes, viz. Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes.
Twenty per cent of the girls are enrolled in only painting classes. Ten per cent of the boys are enrolled in only singing classes.
Twenty four per cent of the girls are enrolled in both singing and dancing classes together. The number of girls enrolled in only singing classes two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. 
The respective ratio of boys enrolled in dancing and painting classes together to the girls enrolled in the same is 2 : 1, respectively. Ten per cent of the girls are enrolled in only dancing classes whereas eight percent of the girls are enrolled in both dancing and painting classes together. The remaining girls are enrolled in all the three classes together.
The number of boys enrolled in singing and dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only painting classes.

Q11. What is the total number of boys who are enrolled in Dancing?   
(a) 318
(b) 364
(c) 292
(d) 434
(e) None of these 

Q12. Total number of girls enrolled in Singing is approximately what percent of the total number of students in the school?  
(a) 37
(b) 19
(c) 32
(d) 14
(e) 26

Q13. What is the total number of students enrolled in all the three classes together? 
(a) 135
(b) 164
(c) 187
(d) 142
(e) None of these 

Q14. Number of girls enrolled in only Dancing classes is what percent of the boys enrolled in the-same?  (rounded off to two digits its after decimal) 
(a) 38.67 
(b) 35.71
(c) 41.83
(d) 29.62
(e) None of these 

Q15. What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same?  
(a) 77 : 26 
(b) 21 : 73 
(c) 26 : 77 
(d) 73 : 21 
(e) None of these 

Solutions