# Quantitative Aptitude: Data Interpretation Questions Set 146

Directions (1-5): Study the following information carefully and answer the questions that follow:
The following pie chart shows the percentage distribution of total number of players who play hockey in 6 different clubs total number of players who play hockey is 8000.
The following table shows the ratio of total number of players who play skating and hockey in different clubs. 1. Find the ratio between the total number of players who play skating in club P to that of club S.
130:187
120:111
111:123
141:160
117:119
Option A
The total number of players who play skating in club P
= >8000 * (18/100) * (13/9) = 2080
The total number of players who play skating in club S
= >8000 * (22/100) * (17/10) = 2992
Required ratio = 2080 : 2992 = 130 : 187

2. Find the difference between the total number of players who play Hockey in club Q and R together to that of total number of players who play skating in club Q and T together.
509
504
505
409
550
Option B
The total number of players who play Hockey in club Q and R together
= >8000 * (36/100) = 2880
The total number of players who play skating in club Q and T together
= >8000 * (16/100) * (17/20) + 8000 * (14/100) * (23/20)
= >1088 + 1288 = 2376
Required difference = 2880 – 2376 = 504

3. Total number of players who play Hockey in club P and S together is approximately what percentage of total number of players who play Skating in club R and U together?
112
114
115
117
119
Option D
Total number of players who play Hockey in club P and S together
= > 8000 * (40/100) = 3200
Total number of players who play Skating in club R and U together
= >8000 * (20/100) * (31/40) + 8000 * (10/100) * (15/8)
= >1240 + 1500 = 2740
Required % = (3200 / 2740) * 100 = 116.788 % = 117 %

4. Find the average number of players who play skating in all the given institutions except club T.
1280
1480
1780
1680
1980
Option C
The total number of players who play skating in all the given institutions except club T
= > (8000 * (18/100) * (13/9) + 8000 * (16/100) * (17/20) + 8000 * (20/100) * (31/40) + 8000 * (22/100) * (17/10) + 8000 * (10/100) * (15/8))
= > (2080 + 1088 + 1240 + 2992 + 1500) = 8900
Required average = 8900 / 5 = 1780

5. Find the difference between the average number of players who play hockey in club T and U together to that of the average number of players who play skating in club Q and T together.
228
823
123
512
713
Option A
The average number of players who play hockey in club T and U together
= >8000 * (24/100) * (1/2) = 960
The average number of players who play skating in club Q and T together
= >[8000 * (16/100) * (17/20) + 8000 * (14/100) * (23/20)] / 2
= > (1088 + 1288) / 2 = 1188
Required difference = 1188 – 960 = 228

6. Directions (6-10): Study the following table carefully and answer the questions that follow: 7. What is the ratio of the total number of farmers in city A, C and E together to that of the total number of police in city B, C and D together?
38: 31
38: 41
38: 39
38: 30
38: 37
Option E
Required ratio = (120 + 160 + 100): (120 + 100 + 150)
= 380: 370 = 38: 37

8. If the number of male farmers in city B is 26 and total number of males in city B is 48% of the total number of farmers in city D. What percentage of female police in city B from the total people (Farmers and Police)?
22
23
24
25
26
Option D
Total number of male in city B = 48/100 * (200)
= 96
Number of male Police in city B = 96 – 26 = 70
Number of female police in city B = 120 – 70 = 50
Required percentage = 50/200 * 100 = 25%

9. What is the difference between the number of police in city D and C is what percentage more/less than the number of farmers in city E?
50
55
60
65
70
Option A
Difference between police in city D and C = 150 – 100 = 50
Required percentage = (100 – 50)/100 * 100
= 50%

10. What is the average number of Farmers in all the given cities together?
131
132
133
134
135
Option B
Required average = (120 + 80 + 160 + 200 + 100)/5
= 660/5 = 132

11. What is the ratio of the difference between the police in the city D and B to that of the difference between the farmers in the city A and C?
3: 10
3: 11
3: 7
3: 4
3: 5
Option D
Required ratio = (150 – 120): (160 – 120)
= 30: 40 = 3: 4