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 = $ \frac{240}{256}$ 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