__Case let 17:__
In a ship, there
are 1200 passengers.18% of the total number of passengers are from Britain. Two-fifth of the total number of passengers is from South Arfrica.6% of the total
number of passengers are from Madagascar. The remaining number of passengers is
from India.25% of the number of passengers from Britain is female.

Half the number of
passengers from South Africa is male. There is no female passenger from
Madagascar. Two-third of the number of passengers from India is females.

(Allahabad Bank PO
2011)

Data Analysis and
Data Interpretation of given Case let :

Total passengers in ship = 1200

__Passengers from Britain ( British Passengers):__
Total number of British
passengers =18% of total passengers = 18/100 x 1200 =216

Number of female
British passengers = 25% of total British passengers = 25/100 x 216 = 54

Number of male
British passengers = 216 – 54 = 162

__Passengers from South Africa :__
Total number of South
African passengers =2/5 of total
passengers = 2/5 x 1200 =480

Number of male South
African passengers =1/2 of South African passengers= 240

Number of female South
African passengers =1/2 of South African passengers= 240

__Passengers from Madgascar :__
Total number of passengers
from Madagascar = 6% of total passengers = 6/100 x 1200 = 72

Number of male
Madagascar passengers = 72

Number of female
Madagascar passengers = 0

__Passengers from India :__
Number of Indian
passengers = 1200-(216+72+480) =432

Number of female
Indian passengers =2/3 of total Indian passengers = 2/3 x 432 = 288

Number of male
Indian passengers =432 – 288 =144

__Questions and Explanations for the given case let in Bank PO previous exam :__
1. What
is the respective ratio between the number of passengers from Madagascar, number
of female passengers from South Africa and the total number of passengers from
India?

a)2:5:18 b)3:10:18 c)3:11:18
d)2:18:5 e)None

Answer: B

Explanation:

Number passengers
from Madagascar =72

Number of females
passengers from South Africa =240

Total number of
passengers from India = 432

Required ratio = 72 : 240 : 432 = 3: 10 : 18

2. Number
of male passengers from South Africa is approximately, what percentage of the total number of passengers from Britain?

a)111% b)120% c)130%
d)84% e)15%

Answer: A

Explanation: Number
of male passengers from South Africa =240

Total number of
passengers from Britain =216

Required percentage = 240/216 x 100% = 111.11%
= 111% approximately

3. What
is the average number of male passengers from all the four countries?

a)154.5 b)164.5 c)145 d)164 e)None

Answer: a

Explanation: Average
number of male passengers from all the four countries =(144+240+72+162)/4 =
618/4=154.5

4. What
is the difference between the number of male passengers from Madagascar and the number of male passengers from India?

a)64 b)82 c)74 d)72 e)None

Answer:D

Explanation: Number
of male passengers from Madagascar = 72

Number of male passengers from India = 144

Required difference = 144 – 72 = 72

5. What
is the total number of male passengers from Britain and female passengers from
India together?

a)340 b)420 c)350 d)460 e)None
of these

Answer: E

Explanation: Total
number of male passengers from Britain=162

Total number of female
passengers from India = 288

Total number of male passengers from Britain
and female passengers from India together = 162+288=450

__Case let 18:__**In**a college, 150 students of MBA are enrolled. The ratio of boys to girls is 7: 8. There are three disciplines, namely Marketing, HR, and Finance in the college. In Marketing discipline, there are 50% girls of their total number and the boys are 40% of their total number.

**In**HR discipline, girls are 30% of their total number, while boys are 30% of their total number. Finance discipline has girls 20% of their total number, and the boys are 30% of their total number. 7 boys and 9 girls are in HR and Marketing both. 6 boys and 7 girls are in HR and Finance both, 5 boys and 8 girls are in Marketing and Finance both. 2 boys and 3 girls are enrolled in all three disciplines.

__Data Analysis and Interpretation of the given case let:__
Total number of
students in the college =150

The ratio of boys to
girls=7:8

Number of boys =
150 x 7/15 = 70

Number of girls =
150-70 = 80.

*Marketing Department :*

Number of girls =
50% of total girls= ½ x 80 = 40

Number of boys =
40% of total boys = 40/100 x 70 = 28

*HR Discipline :*

Number of girls = 30% of total girls = 30/100
x 80 = 24

Number of boys =
30% of total boys = 30/100 x 70 = 21

*Finance Discipline :*

Number of girls =
20% of total girls = 20/100 x 80 = 16

Number of boys =
20% of total boys = 20/100 x 70 = 14

*HR and Marketing Both:*Boys =7 Girls =9

*HR and Finance both:*Boys=6 girls=7

*Marketing and Finance both :*Boys = 5 Girls = 8

*All Marketing, Finance, and HR :*Boys=2 Girls = 3

__Questions and Answers for above case lets in data interpretation section :__
1. What percentages of students are enrolled
in all three disciplines?

a)
3.3% b) 7.2% c) 8.5% d) 9.32% e) None

*Answer : A***:**

*Explanation*
Number of students
enrolled in all three disciplines ( girls + boys) = 3 + 2 =5

Total number of
students =150

Therefore , percentage of students enrolled
in all three disciplines = 5/150 x 100 % =3.3%

2. What
is the ratio of boys to girls only in marketing discipline?

a)13:9 b)9:13 c)9:11 d) 11:9 e) None of these

*Answer : B*

*Explanation :*
Number of boys only in
Marketing discipline =18

Number of girls in only
Marketing discipline = 26

The ratio of boys to girls only in Marketing
discipline = 18 : 26 = 9 : 13

3. The ratio of the number of boys in Marketing and Finance both to that of girls only
in Finance is

a)
5:3 b)3:5 c)5:4 d)4:7
e) None of these

*Answer : C*

*Explanation:*
The number of boys
in Marketing and Finance both =5

Number of girls in
Finance =4

Required ratio = 5
: 4

4. By
what percent is the number of boys in Marketing discipline more than the number of girls in HR discipline?

a)13.33% b)33.33%
c)14.66% d)16.66% e) None

*Answer : D*

*Explanation :*
Number of boys in
Marketing discipline= 28

Number of girls in
HR discipline =24

Required percentage = 28-24/24 x 100% =
4/24 x 100% =16.66%

5. The ratio of boys to girls enrolled only in HR discipline is

a)
10:11 b)9:10 c) 7:5 d) 5:7 e) None of
these

*Answer : A*

*Explanation :*
Number of boys only
in HR discipline = 10

Number of girls
only in HR discipline = 11

The ratio of boys to girls enrolled in the only HR
discipline = 10 : 11