BANK & INSURANCE (DATA INTERPRETATION) PART 2

Total Questions: 100

91. Find the ratio of the number of male Vodafone users to the number of female BSNL users?

Correct Answer: (e) 10:3
Solution:Total Vodafone users = 30% of 25 lakhs = 7.50 lakhs
Number of male Vodafone users = (5/9) × 7.50 lakhs
Total BSNL users = 10% of 25 lakhs = 2.50 lakhs
Number of female BSNL users = (1/2) × 2.50 lakhs
Required Ratio = (7.5 × 5/9) : (2.5/2) = 10 : 3

92. Directions (92-96): Table given below shows the number of bikes manufactured by a manufacturer in five different months from January to May in 2016.

Bar graph given below shows the number of bikes manufactured by the manufacturer in 2017 as a percent of that manufactured in 2016 and number of bikes manufactured in 2018 as a percent of that manufactured in 2017 in those five different months.

Months | Total bikes manufactured

January → 25
February → 30
March → 20
April → 15
May → 40

Ques: If out of total manufactured bikes in January 2017, 75% are sold and ratio of total bikes sold in January 2016 to that in January 2017 is 7 : 5, then how many bikes are unsold in January  2016?

Correct Answer: (a) 4
Solution:

Number of bikes manufactured in January 2016 = 25
Number of bikes manufactured in January 2017 = 80% of 25 = 20
Number of bikes manufactured in January 2018 = 145% of 20 = 29

Similarly, we can calculate other values …

Months

Bikes manufactured in 2016

Bikes manufactured in 2017

Bikes manufactured in 2018

January

25

80% of 25 = 20

145% of 20 = 29

February

30

140% of 30 = 42

50% of 42 = 21

March

20

140% of 20 = 28

75% of 28 = 21

April

15

60% of 15 = 9

200% of 9 = 18

May

40

125% of 40 = 50

60% of 50 = 30

Total manufactured bikes in January 2017 = 20
Total sold bikes in January 2017 = 75% of 20 = 15
Total sold bikes in January 2016 = 15 × (7/5) = 21
Total manufactured bikes in January 2016 = 25
Total unsold bikes in January 2016 = 25 - 21 = 4

93. If ratio of number of bikes sold in May 2017 to that in May 2018 is 4 : 3 and ratio of number of unsold bikes in May 2017 to that in May 2018 is 13 : 6, then what is the total number of bikes sold in May 2017 and May 2018 together?

Correct Answer: (c) 42
Solution:

Let number of bikes sold in May 2017 and that in May 2018 be 4x and 3x respectively.
Number of bikes unsold in May 2017 = (50 - 4x)
Number of bikes unsold in May 2018 = (30 - 3x)

According to the question:
(50 - 4x) : (30 - 3x) = 13 : 6

300 - 24x = 390 - 39x
15x = 90
x = 6

Total number of bikes sold in May 2017 and May 2018 together = 4x + 3x = 7x = 42

94. What is the percent change in the number of bikes manufactured in January 2018, March 2018 and April 2018 together from that in those three months of 2016 together?

Correct Answer: (d) 13 1/3%
Solution:

Total number of bikes manufactured in January 2018, March 2018 and April 2018 together
= 29 + 21 + 18 = 68

Total number of bikes manufactured in January 2016, March 2016 and April 2016 together
= 25 + 20 + 15 = 60

Percent change = [(68 - 60)/60] × 100 = 13⅓%

95. If out of total bikes manufactured in February in 2016, 2017 and 2018- 60%, 66 2/3% and 76 4/21% respectively are sold, then in February, in all the three years together, what percent of total manufactured bikes are sold?

Correct Answer: (b) 66 2/3%
Solution:

Total bikes sold in February 2016 = 60% of 30 = 18
Total bikes sold in February 2017 = 66⅔% of 42 = 28
Total bikes sold in February 2018 = 76(4/21)% of 21 = 16

Total bikes sold in February in all the three years together = 18 + 28 + 16 = 62

Total bikes manufactured in February in all the three years together = 30 + 42 + 21 = 93

Required percent = (62/93) × 100 = 66(2/3)%

96. The difference between number of bikes manufactured in all the five months together in 2016 and that in 2017 is how much more than the difference between number of bikes manufactured in all the five months together in 2016 and that in 2018?

Correct Answer: (c) 8
Solution:

Difference between number of bikes manufactured in all the five months together in 2016 and that in 2017
= |(25 + 30 + 20 + 15 + 40) - (20 + 42 + 28 + 9 + 50)|
= |130 - 149| = 19

Difference between number of bikes manufactured in all the five months together in 2016 and that in 2018
= |(25 + 30 + 20 + 15 + 40) - (29 + 21 + 21 + 18 + 30)|
= |130 - 119| = 11

Required difference = 19 - 11 = 8

97. Directions (97-100): Read the data carefully and answer the following questions.

From four different companies some employees left, and table given below shows the number of employees who left the company:

CompaniesNumber of employees left
A45
B60
C30
D50

 

Line graph given below shows the number of newly joined employees as percent of remaining employees after those who left and percent decrement of total employees after leaving and new joining of employees.

Ques: How many total employees were there in companies A and D together initially?

Correct Answer: (b) 215
Solution:

Company A:
Let total employees initially = ‘a’
Remaining employees after leaving = (a - 45)
Newly joined employees = 25% of (a - 45) = (0.25a - 11.25)

Now,
80% of a = (a - 45) + (0.25a - 11.25)
0.8a = 1.25a - 56.25
a = 125

Company B:
Let total employees initially = ‘b’

Remaining employees after leaving = (b - 60)
Newly joined employees = 20% of (b - 60) = (0.2b - 12)

Now,
75% of b = (b - 60) + (0.2b - 12)
0.75b = 1.2b - 72
b = 160

Company C
Let total employees initially = ‘c’

Remaining employees after leaving = (c - 30)
Newly joined employees = 28% of (c - 30) = (0.28c - 8.4)

Now,
80% of c = (c - 30) + (0.28c - 8.4)
0.8c = 1.28c - 38.4
c = 80

Company D:
Let total employees initially = ‘d’

Remaining employees after leaving = (d - 50)
Newly joined employees = 35% of (d - 50) = (0.35d - 17.5)

Now,
60% of d = (d - 50) + (0.35d - 17.5)
0.6d = 1.35d - 67.5
d = 90

Total employees in companies A and D together initially = a + d = 125 + 90 = 215

98. Number of newly joined employees in company D is what percent of number of employees who left that company?

Correct Answer: (e) 28%
Solution:

Newly joined employees in company D = (0.35d - 17.5) = 14
Required percent = (14/50) × 100 = 28%

99. What is the average of the number of newly joined employees in companies A and C together?

Correct Answer: (d) 17
Solution:Newly joined employees in companies A = (0.25a - 11.25) = 20
Newly joined employees in companies C = (0.28c - 8.4) = 14
Required average = (20 + 14)/2 = 17

100. Total employees in companies B and D together finally (after new joining and leaving of employees) becomes what percent of those initially in the same companies together?

Correct Answer: (a) 69.6%
Solution:

Total employees in companies B and D together finally
= (75% of b) + (60% of d) = 120 + 54 = 174

Total employees in companies B and D together initially = b + d = 160 + 90 = 250

Required percent = (174/250) × 100 = 69.6%