BANK & INSURANCE (DATA INTERPRETATION) PART 4

Total Questions: 150

131. Find the average number of employees working in night shift in all the three companies

Correct Answer: (b) 152 
Solution:

Average number of employees working in night shift in all the three companies
= (96 + 162 + 198)/3
= 456/3 = 152

132. Directions [132-135]: Read the data carefully and answer the following questions

Each of the three dancers gave two types of performances i.e. solo and group. Total number of performances given by Riya is 1000 while number of group performances given by her is 50% more than number of solo performances given by her. Ratio of number of group performances given by Riya and Rahul is 5:3 respectively while number of solo performances given by Rahul is 70% of total number of performances given by him. Average number of solo performances given by Rahul and Kriti is 680 and total number of performances given by Kriti is 20% less than that by Rahul.

Ques : If ratio of number of group performances given by Kriti and Pinki is 4:5 respectively and number of solo performances given by Pinki is 64% of that by Riya, then total performances given by Pinki is:

Correct Answer: (d) 806 
Solution:

Let number of solo performances given by Riya = n

So, number of group performances given by Riya
= 1.50 × n = 1.5n

1.5n + n = 1000
n = 400

Number of solo performances given by Riya = 400

Number of group performances given by Riya = 1.50 × 400 = 600

Number of group performances given by Rahul
= (3/5) × 600 = 360

Total number of performances given by Rahul
= 360/0.30 = 1200

Number of solo performances given by Rahul
= 1200 - 360 = 840

Number of solo performances given by Kriti = 1360 - 840
= 520

Total number of performances given by Kriti = 0.80 × 1200 = 960
Number of group performances given by Kriti = 960 - 520 = 440

Dancers | Total number of performances | Number of solo performances | Number of group performances

Riya | 1000 | 400 | 600
Rahul | 1200 | 840 | 360
Kriti | 960 | 520 | 440

Number of group performance by Kriti = 440
Therefore, number of group performance by Pinki
= (5/4) × 440 = 550
Number of solo performance by Riya = 400
Therefore, number of solo performance by Pinki
= 0.64 × 400 = 256
Total number of performances given by Pinki = 550 + 256 = 806

133. Ratio of number of solo performances to number of group performances given by Kriti is:

Correct Answer: (a) 13:11 
Solution:Number of solo performances given by Kriti = 520
Number of group performances given by Kriti = 440
Required ratio = 520:440 = 13:11

134. What is the average number of performances given by Rahul and Kriti together?

Correct Answer: (e) 1080
Solution:

Total number of performances given by Rahul = 1200
Total number of performances given by Kriti = 960
Required average = (1200+960)/2 = 2160/2
= 1080

135. Find the difference between number of solo and group performances given by Riya.

Correct Answer: (d) 200 
Solution:Number of solo performances given by Riya = 400
Number of group performances given by Riya = 600
Required difference = 600 - 400 = 200

136. Directions [136-140]: Read the data carefully and answer the following questions.

There are three hospitals R, S and T. The average number of patients in hospitals R and S together is 460. The average number of patients in hospitals S and T together is 420. The ratio of the total number of patients in hospital S to that of hospital T is 2:1. The ratio of the number of male patients to the number of female patients in hospitals R and T is 5:4 and 3:2 respectively. The number of male patients in hospital S is 40% less than the number of female patients in the same hospital.

Ques : Total female patients in hospitals R and S together is how much more or less than the total number of patients in hospital T?

Correct Answer: (e) 230
Solution:

Given, average number of patients in hospitals R and S together = 460
Total number of patients in hospital R and S together = 460 × 2 = 920

Let the total number of patients in hospital R be ‘t’
Therefore, total number of patients in hospital S = 920 - t

Given, average number of patients in hospitals S and T together = 420
Total number of patients in hospital S and T together = 420 × 2 = 840

Let the total number of patients in hospital T = 840 - (920 - t)
= t - 80

Ratio of the total number of patients in hospital S to that of hospital T = 2:1

According to the question:
=> (920 - t) / (t - 80) = 2/1
=> 920 - t = 2t - 160
=> 3t = 1080
=> t = 360

Hence, total number of patients in hospital R = 360

Ratio of the number of male patients to female patients in hospital R = 5:4

Therefore, number of male patients in hospital R
= (5/9) × 360 = 200

Number of female patients in hospital R = 360 - 200 = 160

Total number of patients in hospital S = 920 - 360 = 560

Let the number of female patients in hospital S be 5p
Therefore, number of male patients in hospital S
= (3/5) × 5p = 3p (40% less than female patients)

According to the question:
=> 5p + 3p = 560
=> 8p = 560
=> p = 70

Hence, number of female patients in hospital S = 5p = 5 × 70 = 350

And number of male patients in hospital S = 560 - 350 = 210

Total number of patients in hospital T = 360 - 80 = 280

Ratio of the number of male patients to female patients in hospital T = 3:2

Therefore, number of male patients in hospital T
= (3/5) × 280 = 168

And number of female patients in hospital T = 280 - 168 = 112

Hospital | Total patients | Male patients | Female patients

R | 360 | 200 | 160
S | 560 | 210 | 350
T | 280 | 168 | 112

Total female patients in hospitals R and S together
= 160 + 350 = 510
Total number of patients in hospital T = 280
Hence, required difference = 510 - 280 = 230 more

137. Find the ratio of the number of male patients in hospital S to the number of female patients in hospital T.

Correct Answer: (d) 15:8 
Solution:Number of male patients in hospital S = 210
Number of female patients in hospital T = 112
Hence, required ratio = 210:112 = 15:8

138. Find the sum of the average number of male patients in hospital R and S together and the average number of female patients in hospital S and T together:

Correct Answer: (c) 208 
Solution:

Number of male patients in hospital R who are senior citizens
= (48/100) × 200 = 96
Number of female patients in hospital R who are senior citizens
= (35/100) × 160 = 56
Total number of senior citizen patients in hospital R = 96 + 56 = 152

Total number of patients in hospital R = 360
Hence, total number of patients in hospital R who are not senior citizens = 360 - 152 = 208

139. Find the sum of the average number of male patients in hospital R and S together and the average number of female patients in hospital S and T together

Correct Answer: (b) 436 
Solution:Average number of male patients in hospital R and S together
= (200 + 210)/2 = 205
Average number of female patients in hospital S and T together
= (350 + 112)/2 = 231
Hence, required sum = 205 + 231 = 436

140. If the average number of patients in hospital R and P together is 285, the total number of patients in hospital P is what percent of the total number of patients in hospital T?

Correct Answer: (a) 75% 
Solution:

Given, average number of patients in hospital R and P together = 285
Therefore, total number of patients in hospital R and P together = 285 × 2 = 570

Total number of patients in hospital R = 360
Hence, total number of patients in hospital P = 570 - 360 = 210

Total number of patients in hospital T = 280
Hence, required % = (210/280) × 100 = 75%