# Data Interpretation Practice Questions – Set 84

Data Interpretation Practice Questions – Set 84
Directions (1 – 5): Study the table and answer the given questions.
Data related to the number of employees in five different companies in December 2012
NOTE: (I) Employees of the given companies can be categorised only in three types: Science graduates. Commerce graduates and Arts graduates
(II) A 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.
1. What is the difference between the number of Arts graduate employees and Science graduate employees in Company N?
a) 87
b) 89
c) 77
d) 81
e) 73
2. The average number of Arts graduate employees and Commerce graduate employees in Company Q was 312. What was the total number of employees in Company Q?
a) 920
b) 960
c) 1120
d) 1040
e) 1080
3. If the ratio of the number of Commerce graduate employees to that of Arts graduate employees in Company M was 10 : 7, what was the number of Arts graduate employees in M?
a) 294
b) 266
c) 280
d) 308
e) 322
4. The total number of employees in Company N increased by 20% from December 2012 to December 2013. If 20% of the total number of employees in Company N in December 2013 were Science graduates, what was the number of Science graduate employees in Company N in December 2013?
a) 224
b) 266
c) 294
d) 252
e) 168
5. The total number of employees in Company P was 3 times the total number of employees in Company O. If the difference between the number of Arts graduate employees in Company P and that in Company O was 180, what was the total number of employees in Company O?
a) 200
b) 1440
c) 720
d) 900
e) 1080
Directions (6 – 10): Study the following information carefully and answer the questions given below:
Five sports – Cricket, Hockey, Polo, TT and Rugby – are included in sports competition in XYZ college. The total number of players in this sports competition is 1000. The ratio of females to males is 2 : 3.
20% of the players play Hockey. Out of the total players, 150 play TT. Out of the total players, 8% play Polo. The number of Cricket players is twice that of the Rugby players. 50% of the polo players are females. 2/3 of the TT players are males. In Hockey, the ratio of female players to male players is 2 : 3. 70% of the Cricketers are males and 74 male players play Rugby.
6. What is the difference between the number of male Cricket players and that of female Rugby players?
a) 140
b) 130
c) 120
d) 150
e) None of these
7. What is the percentage of male Hockey players in comparison to female Polo players?
a) 350%
b) 33 1/3%
c) None of these
d) 300%
e) 67%
8. What is the total number of female players in Polo, Rugby and TT?
a) 196
b) 207
c) 206
d) 216
e) Other than those given as options
9. What is the ratio of male Polo players to female Hockey players?
a) 2:1
b) 1:2
c) None of these
d) 1:3
e) 2:3
10. The number of Cricket players is what per cent of the total number of players in college XYZ?
a) 38%
b) 70%
c) 76%
d) 19%
e) None of these
Directions (11 – 15): Study the following table to answer the given questions
Number of Students of different classes of a school playing different games.
 Class Games XII XI X IX VIII VII VI Chess 11 12 5 4 2 2 1 Cricket 38 40 12 17 25 18 20 Basket ball 11 9 7 6 0 0 0 Table Tennis 9 9 21 19 11 9 0 Foot Ball 40 27 18 19 12 16 14 Carrom 16 15 8 19 12 16 14 Tennis 8 9 11 5 6 0 0 Badminton 47 39 33 21 19 0 0
11. Approximately, what per cent of VIIIth class students play Cricket out of the total students playing Cricket?
a) 13
b) 4
c) 25
d) 15
e) 17
12. What is the respective ratio of XIth and Xth class students playing Foot Ball?
a) 1 : 2
b) 2 : 5
c) 2 : 3
d) 3 : 2
e) None of these
13. Which game is the most popular?
b) Football
c) Carrom
d) Table Tennis
e) Cricket
14. Approximately what per cent Xth class students play Table Tennis out of the Xthclass students playing different given games?
a) 20
b) 21
c) 27
d) 26
e) 18
15. Which game has ascending number of students from class IX to XII ?
d) No game
e) None of these

Solutions:
1. C) Total number of employees in Company N = 700
Percentage of Science graduate employees = [100 – (31 + 40)] = 29%
Now, the percentage difference between Arts graduate employees and Science graduate employees =(40 – 29)% = 11%
11% of 700 = 77
Difference = 77

2. B) The percentage of Arts graduate employees in Company Q = (100 – 35 – 50)% = 15%
Now, the percentage of Arts graduate employees and Commerce graduate employees = 50 + 15 = 65%
Average of Commerce and Arts graduate employees = 312
The total number of employees in Commerce and Arts = 2 × 312
Let the total employees in Company Q be x.
Then, 65% of x = 2 ×312
x = (2 × 312 × 100) / 65 = 960

3. A) The percentage of Commerce graduate employees and Arts graduate employees in Company M = (100 – 32)% = 68%
Now, the percentage of Arts graduate employees = (68 × 7) / 17 = 28%
The percentage of Commerce graduate employees = (68 × 10) / 17 = 40%
The number of Arts graduate employees in Company M = (1050 × 28) / 100 = 294

4. E) The number of employees in Company N in December 2012 = 700
The number of employees in Company N in December 2013 = (700 × 120) / 100 = 840
Number of Science graduate employees in Company N in December 2013 = (20 × 840) / 100 = 168

5. D) The percentage of Arts employees in Company O = (100 – 30 – 30) = 40%
The percentage different between Arts graduate employees in Company O and P = (40 – 20) = 20%
Now, let the number of employees in Company O be x.
Then, x × 20% = 180
x = (180 × 100) / 20 = 900

(6 – 10): Explanation:
Number of female players = 1000 × (2/5) = 400
Number of male players= 1000 × (3/5) =600
Let the number of Rugby players be x.
Then, the number of Cricket players will be 2x.
According to the question,
x + 2x = 1000 – (200 + 150 + 80)
Or, x =190
 Sports Total players M F Hockey 1000 × (20/100) – 200 200 × (3/5) – 120 200 × (2/5) -80 TT 150 150 ×(2/3) = 100 150 × (1/3) = 50 Polo 1000 ×(8/100) = 80 80 × (50/100) = 40 40 Cricket 2x = 380 380 ×(70/100) =266 114 Rugby X = 190 74 116
6. D) Reqd difference = 266 – 116 = 150

7. D) Reqd % = (120/40) ×100 = 300%

8. C) Total number of female players in Polo, Rugby and TT = (40 + 50 + 116) = 206

9. B) Reqd ratio = (40/80) = 1:2

10. A) Reqd % = (380/1000) × 100 = 38%

11. D) Total number of students playing cricket = 38 + 40 + 12 + 17 + 25 + 18 + 20 = 170
Required percentage = (25 / 170) × 100 = 14.706 = 15

12. D) Required ratio = 27 : 18 = 3 : 2

13. E) For calculating the most popular game we have to add students playing different games of all the classes.
By looking at the table-cricket, football and badminton seems to be very popular. No. of students playing chess is definitely less than those playing cricket. Same is true for basketball. Table tennis carom, and tennis
Badminton and football may be somewhat near to cricket
No of students playing cricket = 38 + 40 + 12 + 17 + 25 + 18 + 20 = 170
No of students playing football = 40 + 27 + 18 + 19 + 12 + 16 + 14 = 146
No of students playing badminton = 47 + 39 + 33 + 21 + 19 = 159
Thus, cricket is the most popular game

14. E) Total number of students of class X playing different games
= 5 + 12 + 7 + 21 + 18 + 8 + 11 + 33 = 115
Required percentage = (21 / 115) × 100 = 18.26 = 18

15. E) Check from given options