BANK & INSURANCE (DATA INTERPRETATION) PART 2

Total Questions: 100

31. Directions [31-35]: Following bar graph gives information about percentage of students in a school studying various subjects. Total number of students in the school is 500.

Following table gives information about the breakup of students into male and female students.

Subject

Male : Female

Science

2 : 3

Maths

7 : 3

Hindi

5 : 8

English

3 : 4

History

4 : 1

Ques : How many more students are there studying English than that studying Hindi?

Correct Answer: (b) 110
Solution:

From Bar graph:
Number of students studying Science = Total students × (percentage of students in Science)
= 500 × 20% = 100
Similarly we find number of students for all subjects.

Subject

Number of students

Science

100

Maths

100

Hindi

65

English

175

History

60

From ratio table:
Ratio of male and female students studying Science = 2 : 3
Total students in Science; 5 units ⇒ 100
1 unit ⇒ 20
Hence, male students = 20 × 2 units = 40

And female students = 20 × 3 units = 60
Similarly we find breakup of students into male and female for all subjects.

Subject

Male : Female

Male

Female

Science

2 : 3

40

60

Maths

7 : 3

70

30

Hindi

5 : 8

25

40

English

3 : 4

75

100

History

4 : 1

48

12

Desired difference = Number of students studying English - Number of students studying Hindi
= 175 - 65 = 110

Alternate:
Desired difference = (% of students studying English - % of students studying Hindi) × Total number of students in school
= (35% - 13%) × 500 = 22% × 500 = 110

32. Number of females studying English is what percent more than the number of males studying Maths?

Correct Answer: (c) 42.85%
Solution:

): Number of females studying English = 100
Number of males studying Maths = 70
Desired Percentage = (100 - 70) × 100/70
= 42.85%

33. If 5% of females studying Hindi went on to study Maths, then what will be the new ratio of number of females studying Maths to that studying Hindi?

Correct Answer: (e) 16 : 19
Solution:

Number of females studying Hindi initially = 40
Number of females studying Maths initially = 30
According to question
5% of females i.e. (5% of 40 = 2) 2 girls initially studying Hindi went on to study Maths.
New number of females studying Hindi = 40 - 2 = 38
New number of females studying Maths = 30 + 2 = 32
Desired Ratio = 32 : 38 = 16 : 19

34. If 25% of males studying History decide to leave the school and new students whose count is 10% of total students initially in the school got admitted to study English and History in ratio 2:3 respectively, then how much percent did History subject gain or lose students?

Correct Answer: (a) 30%
Solution:

Number of male students in History initially = 48
25% males opt out => 48/4 = 12 male students studying History left school.
Remaining number of students studying History
= 48 (males + females)
Total Number of students in school initially = 500
10% got admitted more => 10% × 500 = 50 more joined school
New students got admitted to study English and History in ratio 2:3 respectively.
=> 20 went to study English and 30 went to study History.
We don't know their male to female breakup and we don't need that data to solve this question.

Hence, New number of students studying History =
Number of remaining students studying History + Number of new comers to study History
= 48 + 30 = 78

Original number of students studying History = 60
Gain % over original number = (78 - 60)/60 × 100
= 30%

35. Number of females studying in the school constitute what percent of total students studying in the school?

Correct Answer: (e) 48.6%
Solution:

Total number of females studying in school = 60 + 30 + 40 + 100 + 12 = 242
Total number of students in school = 500
Percentage of females in school = 242 × 100/500
= 48.4%

36. Directions (36-40): Read the data carefully and answer the following questions.

Below pie chart shows percentage breakup of employees from various departments.
Total employees = 25000

Below tabular data shows ratio of male to female employees.

Dept.

Male:Female

HR

4 : 5

Accounts

2 : 3

Production

2 : 1

Sales

3 : 2

Marketing

8 : 7

Logistics

2 : 3

Ques : If 25% and 40% of males and females respectively from marketing department are married then what is the ratio of unmarried females to unmarried males from the same department?

Correct Answer: (c) 7:10
Solution:

Employees from various departments can be calculated as:

HR:
Employee = 25000 × 18/100 = 4500
Male = 4500 × 4/9 = 2000
Female = (4500 - 2000) = 2500

Based on the above data we get the following results

Department

Male

Female

Employee

HR

2000

2500

4500

Accounts

2000

3000

5000

Production

4000

2000

6000

Sales

1950

1300

3250

Marketing

2000

1750

3750

Logistics

1000

1500

2500

Total

12950

12050

25000

Unmarried males = 2000 × 75/100 = 1500
Unmarried females = 1750 × 60/100 = 1050
Required ratio = 1050/1500 = 7 : 10

37. If 35% and 25% of employees from Production and HR respectively are shifted to Accounts department then what is the percent change in employees of Accounts department?

Correct Answer: (b) 64.5%
Solution:

Initial employees from Accounts department
= 25000 × 20/100 = 5000
Transferred employee from Production
= 6000 × 35/100 = 2100
Transferred employee from HR = 4500 × 25/100 = 1125

Total transferred employees = (2100 + 1125)
= 3225

Required percent = 3225/5000 × 100 = 64.5%

38. If 40% of employees from Marketing are from MBA and ratio of non-MBA males to females is 4:5 respectively then approximately what percent of females are non-MBA Marketing employees?

Correct Answer: (a) 71.4%
Solution:

Total non-MBA marketing employee = 3750 × 60/100 = 2250
Female non-MBA employee = 2250 × 5/9 = 1250
Required percent = 1250/1750 × 100 = 71.4%

39. What is the average difference of male to female employees taken for all the departments together

Correct Answer: (c) 150
Solution:

Total male = (2000 + 2000 + 4000 + 1950 + 2000 + 1000) = 12950
Total female = (2500 + 3000 + 2000 + 1300 + 1750 + 1500) = 12050
Required difference = (12950 - 12050)/6 = 150

40. If 40%, 30% and 55% of Production, HR and Accounts employees respectively are Postgraduates then what is the ratio of graduate employees from all the above three departments? (Note: Only graduate and post graduate employees are working in the company)

Correct Answer: (c) 8:7:5
Solution:

Graduate employees from Production = 6000 × 60/100 = 3600
Graduate employees from HR = 4500 × 70/100 = 3150
Graduate employees from Accounts = 5000 × 45/100 = 2250

Required ratio = 3600 : 3150 : 2250 = 8 : 7 : 5