Saturday, 29 July 2017

Data Interpretation



Directions(Q1-5): Study the following data carefully and answer the questions given below.
Out of total number of commuters commuting daily in a city 17171 commuters commute only by trains daily. 7359 commuters commute only by bikes and 22077 commuters commute only by bus. 14718 commuters commute only by their private cars and 4906 commuters commute only by autos. 7359 commuters commute only by taxis. 26983 commuters commute only by bus as well as trains. Daily 9812 commuters commute by autos as well as trains daily. 12265 commuters commute by bus as well as autos daily.

Q1. The total number of commuters commuting by trains form, what per cent of the total number of commuters commuting daily?
(a) 22
(b) 44
(c) 14
(d) 36
(e) None of these 


Q2. The total number of commuters commuting by autos form, what per cent of the total number of commuters commuting daily?
(a) 10 
(b) 18
(c) 22
(d) 4
(e) None of these 


Q3. The total number of commuters commuting by bikes and taxis together form, what per cent of the total number of commuters commuting daily?
(a) 12
(b) 6
(c) 8
(d) 16
(e) None of these 


Q4. What is the difference between the total number of commuters commuting by bus to the total number of commuters commuting by auto?
(a) 26993
(b) 25983
(c) 26988
(d) 26983
(e) None of these 

Q5. The total number of commuters commuting by private car only is what per cent more/less than the total number of commuters commuting auto only?
(a) 100%
(b) 150%
(c) 175%
(d) 90%
(e) 200% 


Directions (6-10): Seven companies A, B, C, D, E, F and G are engaged in production of two items I and II.
The comparative data about production of these items by the seven companies is given in the following graph and the table. Study them carefully and answer the questions given below.




Cost of the total production (both items together) by seven companies = 25 crores

6. What is the total cost of the production of item I by companies A and C together in crore?
(a) 9.25 
(b) 5.9
(c) 4.1625 
(d) 4.9
(e) None of these 


7. Cost of production of item I by company F is what percent of the cost of production of item II by company D?
(a) 16% 
(b) 33.33%
(c) 66.67% 
(d) 12.5%
(e) None of these 


8. What is total profit earned by company ‘G’ for items I and II together?
(a) 78 lakhs 
(b) 1.62 crores
(c) 7.8 crores 
(d) 16.2 lakhs
(e) None of these 


9. What is the ratio of cost of production of item I by company A to the cost of production of item I by company ‘D’?
(a) 3 : 5 
(b) 1 : 2
(c) 2 : 1 
(d) 2 : 3
(e) None of these


10. What is the total of the profit earned by company B on production of item I and the profit earned by company A on production of item II?
(a) 3.68 crores 
(b) 2.778 lakhs
(c) 27.78 lakhs 
(d) 2.778 crores
(e) None of these 


Data Interpretation


Directions (1-5): Study the following pie-diagrams carefully to answer these questions:
Number of students studying in different faculties in the years 2001 and 2002 from State X




1. In which faculty there was decrease in the number of students from 2001 to 2002?
(a) None
(b) Arts
(c) Agriculture
(d) Pharmacy
(e) Medicine

Calculation for questions (1–5):
1. (c)
The number of students decreased from 2450 to 2000 in Agriculture.

2. What is the ratio between the number of students studying pharmacy in the years 2001 and 2002 respectively?
(a) 4 : 3 
(b) 3 : 2
(c) 2 : 3 
(d) 7 : 12
(e) None of the above

2. (d)
Number of students studying Pharmacy in 2001 = 2100
Number of students studying Pharmacy in 2002 = 3600
Required ratio = 2100 : 3600 = 7 : 12

3. What was the approximate percentage increase in the number of students of Engineering from the year 2001 to 2002?
(a) 17 
(b) 15
(c) 25 
(d) 20
(e) 30

3. (d)
Difference = 7600 – 6300 = 1300
 Required percentage increase =1300/6300*100= 20.63 = 20%

4. In the year 2001, the number of students studying Arts and Commerce together is what percent of the number of students studying these subjects together in 2002?
(a) 76 
(b) 85
(c) 82 
(d) 79
(e) None of the above

4. (b)
Total number of students in Arts and Commerce faculties in 2001
= 4200 + 7700 = 11900
Total number of students in Arts and Commerce faculties in 2002 = 4400 + 9600 = 14000
Required percentage =11900/14000*100= 85%

5. In which of the following faculties the percent increase in the number of students was minimum from 2001 to 2002?
(a) Arts 
(b) Science
(c) Commerce 
(d) Medicine
(e) Pharmacy

5. (d)
Only on the basis of table, we can say, the percentage increase in Medicine (3.89%) was minimum.

Directions (Q.6-10): Study the following information carefully to answer the questions given below it.
In a school of 2500 students, all the students have enrolled for different games viz. hockey, table-tennis, badminton, football, cricket, chess and carrom. The respective ratio of girls to boys in the school is 3 : 2. 20% of the boys play only cricket. 25% of the girls play table tennis, badminton and carrom only. 26.8% of the boys play only football. The number of girls playing only cricket is 175% of the boys playing the same. The respective ratio of girls to boys playing only chess is 12 : 11. 25.7% of the boys play hockey, table tennis and carrom only. One-fourth of the girls play only badminton. The remaining girls play football and hockey only. The remaining boys play only chess.

Q6. How many students play more than one game?
(a) 850 
(b) 862
(c) 732
(d) 670
(e) None of the above

Answer (6-10):

Number of girls =3/5×2500=1500
Number of boys =2/5×2500=1000
Number of boys playing cricket only =20/100×1000=200
Number of girls playing table-tennis, badminton and carrom only =25/100×1500=375
Number of boys playing football only =26.8/100×1000=268
Number of girls playing cricket only =175/100×200=350 
Number of boys playing hockey table-tennis and carrom only =25.7/100×1000=257
Number of girls playing badminton only =1/4×1500=375
Number of girls playing chess only =12/11×275=300
Number of girls playing football and hockey only 
= 1500 – (375 + 350 + 375 + 300) = 1500 – 1400 = 100
Number of boys play chess only = 1000 – (200 + 268 + 257) = 1000 – 725 = 275

6. (c)
Sol.
Number of students playing more than one game = 375 + 257 + 100 = 732

Q7. The total number of students playing hockey is what per cent of the total number of students in the school?
(a) 25.7 
(b) 10.8
(c) 14.28
(d) 21.14
(e) None of the above

7.(c)
Sol. 
Number of students playing hockey = 257 + 100 = 357
Hence, required percentage =(357/2500×100)=14.28%

Q8. What is the respective ratio of total number of boys playing chess to the total number of girls playing badminton?
(a) 11 : 30
(b) 13 : 32
(c) 9 : 29
(d) 13 : 29
(e) None of the above

8. (a)
Sol. 
Required ratio = 275∶375×2=11:30.

Q9. What is the respective ratio of total number of girls playing chess only to the total number of girls playing cricket only?
(a) 6 : 5
(b) 3 : 2
(c) 9 : 2
(d) 1 : 2
(e) 6 : 7 

9. (e)
Required ratio = 300 : 350 = 6 : 7

Q10. The total number of students playing table-tennis is what per cent of the total number of girls in the school?
(a) 39.54% 
(b) 25.58%
(c) 42.14%
(d) 38.25%
(e) None of the above

10. (c)
Number of students playing table-tennis = 257 + 375 = 632
Hence, required percentage =(632/1500×100)=42.14%


Data Interpretation


Directions(Q1-5): Given below in the table showing data of a metro travelling from Rajiv Chowk to Noida city:
                                                                         

Q1. From Mandi house to Yamuna bank station, if the Metro train takes twice the time it takes to travel from Rajiv Chowk to Mandi house, then what is the distance between Mandi house to Yamuna bank station? (in km)
(a) 5 Km

(b) 6 Km
(c) 7.5 Km
(d) 7 Km
(e) 6.5 Km


Q2. What is the average speed of the train from Rajiv Chowk to Noida city?
(a) 75 km/hr
(b) 79.3 km/hr
(c) 75.6 km/hr
(d) 73.2 km/hr
(e) Data insufficient

Q3. If total distance from Rajiv Chowk to Noida city is 20 km, then find time taken to travel from Ashok nagar to Noida city.
(a) 2 Mins
(b) 3 Mins
(c) 4 Mins
(d) 5 Mins
(e) Data insufficient


Q4. By what percent time taken from station Yamuna Bank to Mayur Vihar is more/less than the time taken from Mayur Vihar to Ashok Nagar by the metro?
(a) 66 2/3 %
(b) 65 1/3 %
(c) 62 1/3 %
(d) 60 %
(e) Data insufficient


Q5. If due to some problem, the train takes 2 more minutes to reach Noida city from Ashok Nagar, then by what percent the average speed of entire journey has changed?
(a) 6.35 %
(b) 7.28%
(c) 8.54%
(d) None of these
(e) Data insufficient


Directions (Q.6-10): Read the following table is pie chart carefully and answer the questions given below it.
Distribution of employees of a company in different department: 

 
Total number of employees = 800

Table shows the portion of female employees and portion of employees whose age is under 25 years 

Q6. The number of males in technical department are 180, then find the number of employees whose age is under 25 in same department?
(a) 100
(b) 50
(c) 75
(d) 25
(e) 125


Q7. What is the Ratio of number of male employees from marketing department to number of employees under 25 age from content team?
(a) 5 : 9
(b) 7 : 8
(c) 2 : 9
(d) 9 : 5
(e) Data insufficient


Q8. What percent of employees in content team are male?
(a) 10 %
(b) 20 %
(c) 25 %
(d) 40 % 
(e) 15 %


Q9. If in Administrator department, there are no employee under 25, then by what percent number of employee under 25 in marketing are more than number of employee under 25 in technical?
(a) 100%
(b) 96%
(c) 104%
(d) 124%
(e) None of these


Q10. If in marketing department, 25% of males are under 25 age then what is the ratio of number of males who are above 25 to the number of females who are under 25 age?
(a) 3 : 2
(b) 2 : 3
(c) 1 : 3
(d) 1 : 2
(e) None of these


Data Interpretation


Directions (Q. 1-5): Study the following graph carefully to answer these questions.


1. The population of Gujarat in 2002 is what percent of the total population of Gujarat in all the years together? (Rounded off of two digits after decimal)
a) 8.26

b) 7.26
c) 8.32 
d) 7.82
e) None of these


2.  What is the ratio of the total population of Rajasthan for the years 2001, 2002 and 2003 together to the total population of Gujarat for the years 2005, 2006 and 2007 together?
a) 27:53 
b) 54:29
c) 29:54 
d) 53:27
e) None of these


3.  For which state and in which year was the percent rise in population from the previous year was the highest?
a) Gujarat-2003 
b) Gujarat-2002
c) Rajasthan-2004 
d) Rajasthan-2005
e) None of these


4.  What is the per cent rise in the population of Gujarat from 2003 to 2004?
a) 16 1/3
b) 16 2/3
c) 18 2/3
d) 18 1/3
e) None of these


5.  Approximately what is the average population of Rajasthan for all the given years?
a) 65 lakhs 
b) 50 lakhs
c) 48 lakhs 
d) 58 lakhs
e) 52 lakhs


Directions (Q. 6-10): Study the following information carefully to answer these questions.
Percentage of employees in various departments of an organization and the male-female ratio




6. What is the ratio of male employees in Administration to those in Printing Department?
a) 7:4 
b) 4:7
c) 3:4 
d) 7:3
e) None of these



7. What is the difference between the total number of employees in IT and that in Operations Department?
a) 75 
b) 150
c) 100 
d) 50
e) None of these


8. What is the ratio of the total number of males in HR and Marketing to the total number of females in these two departments?
a) 13:15 
b) 15:13
c) 13:17 
d) 17:14
e) None of these


9. How many female employees are there in the HR Department?
a) 250 
b) 120
c) 125 
d) 150
e) None of these


10. What is the difference between the numbers of male and female employees in Logistics Department?
a) 50 
b) 25
c) 75 
d) 100
e) None of these




Data Interpretation

Directions (Q. 1 - 5): Study the following table carefully and answer the questions given below:

Following table shows the investment (in Rs. crore) in various sector by 4 different companies.


1. What is the difference between the total domestic investment and the total foreign investment by the company C1?
1) Rs. 8400 crore 
2) Rs. 8200 crore 
3) Rs. 8600 crore 
4) Rs. 9000 crore 
5) Rs. 9100 crore

2. What is the ratio of the total investment in Metals to that in Machinery?
1) 135 : 302 
2) 24 : 49 
3) 2 : 4 
4) 207 : 256 
5) 223 : 233

3. What is the approximate average domestic investment by the company C4?
1) Rs. 3243 crore 
2) Rs. 2519 crore 
3) Rs. 2234 crore 
4) Rs. 3151 crore 
5) Rs. 3329 crore

4. Domestic investment by company C3 is approximately what percent of foreign investment by company C1?
1) 146% 
2) 144% 
3) 138% 
4) 135% 
5) 140%

5. The average domestic investment by company C2 is approximately what percent of the average investment in Transport by all the four companies?
1) 32% 
2) 40% 
3) 48% 
4) 58% 
5) 52%

Directions (Q. 6 -10): Study the following information carefully and answer the questions given below:

In an institute there are 5600 students, the ratio of the number of girls to the number of boys is 3 : 4 respectively. All the students are enrolled in different programmes viz. SSC, Banking, CLAT and F–CAT. 20% of the total number of boys are enrolled in CLAT programme. The number of girls enrolled in Banking is five–fourths of the number of boys taking the same.

One fourth of the total number of girls enrolled in F–CAT programme. The total number of students enrolled in F–CAT rogramme is 1400. Two–fifths of the boys enrolled in SSC programme and the remaining boys are enrolled in Banking programme. The girls enrolled in SSC are three fourth of the number of boys enrolled in the same. The remaining girls are enrolled in CLAT programme.

6. What is the respective ratio of the number of boys enrolled in CLAT to the number of boys enrolled in SSC?
1) 1 : 2 
2) 1 : 3 
3) 2 : 3 
4) 4 : 5 
5) 3 : 4

7. What is the number of girls enrolled in CLAT?
1) 210 
2) 260 
3) 280 
4) 180 
5) 240

8. What is the total number of students enrolled in Banking?
1) 1060 
2) Other than given options 
3) 1080
4) 1040 
5) 1020

9. The number of girls enrolled in F–CAT is approximately what percent of the total number of students enrolled in SSC?
1) 24.8% 
2) 26.8% 
3) 36.8% 
4) 32.9% 
5) 29.4%

10. The number of boys enrolled in CLAT and SSC together is approximately what percent more or less than the number of girls enrolled in SSC?
1) 100% more 
2) 100% less 
3) 125% more
4) Other than given options 
5) 75% less



Answers:

1. 3

Total domestic investment by company C1
= 6000 + 3000 + 4000 + 3000 + 3500 + 2500 + 3500
= Rs. 25500 crore
Total foreign investment by company C1
= 3000 + 1600 + 2800 + 3000 + 2000 + 3500 + 1000
= Rs. 16900 crore
So, required difference = 25500 – 16900 = Rs. 8600 crore

2. 4

Total investment in Metals
= 4000 + 2800 + 3500 + 2000 + 3200 + 2200 + 2500 + 500
= Rs. 20700 crore
Total investment in Machinery
= 3000 + 3000 + 2500 + 3000 + 3600 + 6000 + 2000 + 2500
= Rs. 25600 crore
So, required ratio = 207 : 256
133. 1; Average domestic investment by company C4
= (6000 + 4000 + 2500 + 2000 + 4000 + 2200 + 2000)/7
= 22700/7 = Rs. 3243 crore
134. 5; Domestic investment by company C3
= 4000 + 5000 + 3200 + 3600 + 3000 + 2500 + 2400
= Rs. 23700 crore
Foreign investment by company C1= 3000 + 1600 + 2800 +
3000 + 2000 + 3500 + 1000 = Rs.  16900 crore
Required percentage = 23700/16900 * 100 = 140%

5. 2

Average domestic investment by company C2
= (2000 + 3000 + 3500 + 2500 + 2500 + 2000 + 500)/7
= Rs. 2286 crore

Average investment in transport
= (3500 + 2000 + 2500 + 3200 + 3000 + 2600 + 4000 + 2000)/4
= Rs. 5700 crore
So, required percentage = 2286/5700 * 100 = 40%

(6–10):
Girls = 3/7 * 5600 = 2400
Boys = 4/7 * 5600 = 3200

6. 1

Required ratio = 640 : 1280 = 1 : 2

7. 5

Required answer = 240

8. 3

Required answer = 600 + 480 = 1080

9. 2

Required percentage = 600/ (1280 + 960) * 100 = 600/2240 * 100 = 26.8%

10. 1
Required percentage more = {(1280 + 640) - 960} / 960 * 100 = 100% more

Data Interpretation

Directions (Q.1-5): Study the following tables carefully and answer the questions given below it.
Number of adults and children from various age groups living in various countries 


1.What is the approximate difference between the average number of adults from the age group of 31-40 from all the given countries and the average number of children from the age group of 6-10 from all the given countries?
(a) 44.5
(b) 35
(c) 48.5
(d) 39.6
(e) 31.2


2.What is the ratio of the total number of adults from the age group of 61-70 from countries USA and UAE to the total number of children from the age group of 16-20 from the same countries?
(a) 9 : 4 
(b) 5 : 7
(c) 7 : 3 
(d) 5 : 3 
(e) None of the above 

3.The total number of children from India is approximately what per cent of the total number of adults from the same country?
(a) 20
(b) 15
(c) 25
(d) 30
(e) 35

4.What is the ratio of the total number of members from country UK (including children) to the total number of members from country USA (including children)?
(a) 61 : 69
(b) 59 : 57
(c) 61 : 67 
(d) 59 : 55
(e) None of the above

 
5.The number of children from the age group 1-5 from country UAE is what per cent of the total number of children from the same age group from all the countries?
(a) 20
(b) 15
(c) 30
(d) 35
(e) None of the above 


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

An organization consists of 2400 employees working in different departments viz HR, Marketing, IT Production and Accounts. The ratio of male to female employees in the organization is 5 : 3. Twelve percent of the males work in the HR department. Twenty-four per cent of the females work in the Accounts department. The ratio of males to females working in the HR department is 6 :11.  One-ninth of the females work in the IT department. Forty-two per cent of the males work in the production department. The number of females working in the Production department is ten per cent of the males working in the same. The remaining females work in the Marketing department. The total number of employees working in the IT department is 285.Twenty-two percent of the males work in the Marketing department and the remaining work in the Accounts department. 

6.The number of males working in the IT department forms approximately what per cent of the total number of males in the organization?
(a) 5
(b) 12
(c) 21
(d) 8
(e) 18 

7.How many males work in the Accounts department?
(a) 170 
(b) 165
(c) 185
(d) 160
(e) None of the above 

8.The total number of employees working in the Accounts department forms what per cent of the total number of employees in the organization? (rounded off to two digits after decimal) 
(a) 19.34 
(b) 16.29
(c) 11.47
(d) 23.15
(e) None of the above

 
9.The number of females working in the Production department forms what per cent of the total number of females in the organization?
(a) 7
(b) 2
(c) 4
(d) 15
(e) None of the above 

10.What is the total number of females working in the HR and Marketing departments together?
(a) 363
(b) 433
(c) 545
(d) 521 
(e) None of the above