BANK & INSURANCE (DATA INTERPRETATION) PART 4

Total Questions: 150

101. What is the ratio of number of candidates who learn guitar to the number of candidates who learn flute?

Correct Answer: (e) 23:16
Solution:Number of candidates who learn guitar = 560 + 360 = 920
Number of candidates who learn Flute = 360 + 280 = 640
Required ratio = 920 : 640 = 23 : 16

102. What is the difference between the number of candidates who learn both instruments and the number of candidates who learn only guitar?

Correct Answer: (c) 200 
Solution:Number of candidates who learn both instruments = 360
Number of candidates who learn only guitar = 560
Required difference = 560 - 360 = 200

103. If ratio of number of male to female candidates who learn only guitar is 3:4, then what is the number of female candidates who learn only guitar?

Correct Answer: (d) 320 
Solution:The number of female candidates who learn only guitar = 560 × 4/7 = 320

104. Directions [104-108]: Read the data carefully and answer the following questions.

There are three bags (A, B and C) which contains red and blue coloured balls only. The total number of balls in bag A is 40 and the number of red balls in bag A is 50% more than the number of blue balls in it. The respective ratio between the total number of balls in bag A and the total number of balls in bag C is 6:5. There are 20 red balls in bag B and the average number of red balls in bags A and C together is 21. The number of blue balls in bag B is 4 more than the average number of blue balls in bags A and C together.

Ques : Find the total number of balls in bag B

Correct Answer: (d) 48 
Solution:

Let the number of blue balls in bag A be 2t
Then, number of red balls in bag A = (3/2) × 2t = 3t

Given, total number of balls in bag A = 40
According to the question:
⇒ 2t + 3t = 40
⇒ 5t = 40
⇒ t = (40/5) = 8

Hence, number of red balls in bag A = 3t = (3 × 8) = 24
Number of blue balls in bag A = 2t = (2 × 8) = 16

Given, ratio between the total number of balls in bag A and the total number of balls in bag C = 4 : 5
Total number of balls in bag C = (5/4) × 40 = 50

Let the number of red balls in bag C be ‘y’
Then, number of blue balls in bag C = (50 - y)

Given, average number of red balls in bags A and C together = 21
According to the question:
⇒ (24 + y)/2 = 21
⇒ 24 + y = 42
⇒ y = (42 - 24) = 18

Number of red balls in bag C = y = 18
Hence, number of blue balls in bag C = (50 - y) = (50 - 18) = 32

Average number of blue balls in bags A and C together = (16 + 32)/2 = 24
Hence, number of blue balls in bag B = (24 + 4) = 28

Bag | Red balls | Blue balls
A → 24 | 16
B → 20 | 28
C → 18 | 32

Required total number of balls in bag B = (20 + 28) = 48

105. The number of red balls in bag C is what percent of the total number of balls in bag A?

Correct Answer: (b) 45% 
Solution:Number of red balls in bag C = 18
Total number of balls in bag A = 40
Hence, required % = (18/40) × 100 = 45%

106. Find the ratio of the number of blue balls in bag C to the number of red balls in bag A.

Correct Answer: (a) 4:3 
Solution:Number of blue balls in bag C = 32
Number of red balls in bag A = 24
Hence, required ratio = 32 : 24 ⇒ 4 : 3

107. If the number of red balls in bag D (another bag) is 15% more than that in bag B and the number of blue balls in bag D is 14 more than that in bag B, find the difference between the number of red and blue balls in bag D.

Correct Answer: (c) 19 
Solution:

Number of red balls in bag B = 20
Number of red balls in bag D = (23/20) × 20 = 23
Number of blue balls in bag B = 28
Number of blue balls in bag D = (28 + 14) = 42

Hence, required difference between number of red and blue balls in bag D = (42 - 23) = 19

108. If 12 balls (Red and Blue) are added in bag A, such that the ratio of the number of red balls to the number of blue balls in bag A becomes 7:6 respectively, find the number of blue balls added in bag A.

Correct Answer: (e) 8
Solution:

Total number of balls in bag A (after adding 12 balls) = (40 + 12) = 52
Number of blue balls in bag A (after adding 12 balls) = (6/13) × 52 = 24

Initial number of blue balls in bag A = 16

Hence, number of blue balls added in bag A = (24 - 16) = 8

109. Directions [109-113]: Read the data carefully and answer the following questions.

An interview is conducted on three days, information given below is about the number of applicants who attended the interview on these days.

Day 1: Ratio of male to female attended the interview is 3 : 4.
Day 2: Number of females attended the interview is equal to the number of males attended the interview on day 1. Number of female applicants who attended the interview is 60% of number of male applicants who attended the interview.
Day 3: Total applicants attended the interview is 18 and number of male applicants are 2 more than the number of female applicants. Number of female applicants who attended the interview is half of the number of female applicants who attended the interview on day 1.Total applicants who attended the interview on day 3 is what percent of total applicants who attended the interview on day 2?

Ques : Total applicants who attended the interview on day 3 is what percent of total applicants who attended the interview on day 2?

Correct Answer: (b) 56.25% 
Solution:

Let number of male and female applicants who attended the interview on day 1 is 3a and 4a respectively.

Number of female applicants who attended the interview on day 2 = 3a

Number of male applicants who attended the interview on day 2 = 3a × (100/60) = 5a

Total applicants attended the interview on day 3 = 18

Number of male applicants who attended the interview on day 3 = (18 + 2)/2 = 10

Number of female applicants who attended the interview on day 3 = (18 - 2)/2 = 8

According to the question:
4a = 8 × 2
a = 4

Days | Number of male applicants | Number of female applicants | Total applicants
Day 1 → 3a = 12 | 4a = 16 | 12 + 16 = 28
Day 2 → 5a = 20 | 3a = 12 | 20 + 12 = 32
Day 3 → 10 | 8 | 10 + 8 = 18

Total applicants who attended the interview on day 3 = 18
Total applicants who attended the interview on day 2 = 32
Required percent = (18/32) × 100 = 56.25%

110. Find the ratio of number of males to female applicants who attended the interview on days 1 and 2 together.

Correct Answer: (e) 8:7
Solution:Number of male applicants who attended the interview on days 1 and 2 together = 12 + 20 = 32
Number of female applicants who attended the interview on days 1 and 2 together = 16 + 12 = 28
Required ratio = 32 : 28 = 8 : 7