BANK & INSURANCE (DATA INTERPRETATION) PART 2

Total Questions: 100

51. Directions (51-55): Pie chart given below shows the distribution in degree of difference between male and female employees in five different companies.

Table given below shows the ratio of male to female in five companies:

Company

Ratio (Male : Female)

A

14 : 9

B

1 : 2

C

3 : 2

D

5 : 7

E

3 : 2

 

Ques: If total employees in company B is 300, then what is the difference between male employees in company A and that in company B?

Correct Answer: (c) 40
Solution:

Total employees in company B = 300
Male employees in B = 300 × (1/3) = 100
Difference between male and female employees in B = 300 × (1/3) = 100

Difference between male and female employees in A = 100 × (75/150) = 50
Male employees in A = 50 × [14/(14 - 9)] = 140
Required difference = 140 - 100 = 40

52. If female employees in company B is 80 more than that in company C, then what is the total number of male employees in both the companies together?

Correct Answer: (a) 80
Solution:

Let male and female employees in company B is ‘x’ and ‘2x’ respectively and male and female employees in company C is ‘3y’ and ‘2y’ respectively.

According to the question:
(2x - x) : (3y - 2y) = 150/30
x : y = 5 : 1
x = 5y ........ (1)

2x - 2y = 80
(x - y) = 40 ........ (2)

From (1) and (2):
4y = 40
y = 10 and x = 50

Total number of male employees in B and C together = x + 3y = 50 + 30 = 80

53. If total number of employees in company D is 360, then what is the difference between male and female employees in company A?

Correct Answer: (d) 75
Solution:

Let male and female employees in company A is ‘14x’ and ‘9x’ respectively and male and female employees in company D is ‘5y’ and ‘7y’ respectively.

According to the question:
5y + 7y = 360
12y = 360
y = 30

(14x - 9x) : (7y - 5y) = 75 : 60 = 5 : 4
20x = 10y
x = 15

Required difference = 14x - 9x = 5x = 75

54. Total number of female employees in companies B and D together is how much more than the total number of male employees in the same companies if total employees in both the companies is 675?

Correct Answer: (a) 175
Solution:

Let male and female employees in company B is ‘x’ and ‘2x’ respectively and male and female employees in company D is ‘5y’ and ‘7y’ respectively.

According to the question:
(x + 2x) + (5y + 7y) = 675
(3x + 12y) = 675
(x + 4y) = 225 ........ (1)

(2x - x) : (7y - 5y) = 150/60 = 5/2
2x = 10y
x = 5y ........ (2)

From (1) and (2):
9y = 225
y = 25 and x = 125

Total number of female employees in companies B and D together = 2x + 7y = 425
Total number of male employees in companies B and D together = x + 5y = 250
Required difference = 425 - 250 = 175

55. If difference between male and female employees in company A is 60, then what is the total number of employees (male + female) in company E?

Correct Answer: (b) 180
Solution:

Difference between male and female employees in company A = 60
Difference between male and female employees in company E = 60 × (45/75) = 36
Ratio of male to female employees in company E is 3 : 2

Total employees in company E = 36 × [(3 + 2)/(3 - 2)] = 36 × (5/1) = 180

56. Directions (56-60): Study the following information carefully and answer the related questions

Following pie-chart represents the data regarding percentage break-ups of total students in 6 different schools A, B, C, D, E and F and table shows the ratio of boys and girls.

Total students = 12000

School

Ratio of boys to girls

A

7 : 5

B

4 : 7

C

5 : 1

D

1 : 3

E

4 : 5

F

5 : 3

Ques: What is the average of boys in all the schools together?

Correct Answer: (c) 1040
Solution:

Total students in school A = 10% of 12000 = 1200
Total students in school B = 22% of 12000 = 2640
Total students in school C = 20% of 12000 = 2400
Total students in school D = 14% of 12000 = 1680
Total students in school E = 18% of 12000 = 2160
Total students in school F = 16% of 12000 = 1920

School

Number of boys

Number of girls

A

700

500

B

960

1680

C

2000

400

D

420

1260

E

960

1200

F

1200

720

Total number of boys = 700 + 960 + 2000 + 420 + 960 + 1200 = 6240
Average = 6240/6 = 1040

57. What is the difference between number of girls in school A and B together and the number of boys in school C and D together?

Correct Answer: (b) 240
Solution:Number of girls in school A and B together = 500 + 1680 = 2180
Number of boys in school C and D together = 2000 + 420 = 2420
Difference = 2420 - 2180 = 240

58. Total girls in all given schools together are approximately what percent more/less than total boys in same schools?

Correct Answer: (a) 8%
Solution:Total girls in all given schools together = 500 + 1680 + 400 + 1260 + 1200 + 720 = 5760
Total boys in all given schools together = 700 + 960 + 2000 + 420 + 960 + 1200 = 6240
Difference = 6240 - 5760 = 480
Percentage = (480/6240) × 100 = 8% (approx.)

59. Boys in school D, E and F together are approximately what percent of total girls in school A, B and C together?

Correct Answer: (b) 100%
Solution:

Boys in school D, E and F together = 420 + 960 + 1200 = 2580
Girls in school A, B and C together = 500 + 1680 + 400 = 2580
Percentage = (2580/2580) × 100 = 100%

60. What is the ratio of girls of school E and F together to boys of school B and C together?

Correct Answer: (e) None of these
Solution:

Total number of girls of school E and F together = 1200 + 720 = 1920
Total number of boys of school B and C together = 960 + 2000 = 2960
Ratio = 1920 : 2960 = 24 : 37