Caselet 1 :
In a team there are
240 members (males and females). Two-thirds of them are males. Fifteen percent
of males are graduates. Remaining males are non-graduates. Three- fourths of
the females are graduates. Remaining females are non-graduates. (SBI PO 2013)
1. What is the
difference between the number of females who are non-graduates and the number
of males who are graduates?
a) 2 b)24 c)4 d)116 e) 36
2. What is the sum
of the number of females who are graduates and the number of males who are non
-graduates?
a) 184 b)96 c)156 d)84 e) 196
3. What is the ratio of the total number of males to the number of females who are
non-graduates?
a) 6:1 b)8:1 c)8:3 d)
5:2 e) 7:2
Explanation
:
Total members (males and females)=240.
$\frac{2}{3}$ of them are males =>Males = 240 x $\frac{2}{3}$ = 160
$\frac{2}{3}$ of them are males =>Males = 240 x $\frac{2}{3}$ = 160
15% of males are
graduates =>
Male graduates= $\frac{15}{100}$ x 160 = 24
Male graduates= $\frac{15}{100}$ x 160 = 24
Male non-graduates
= 160 – 24 = 136
Number of females =
Total members – Male members = 240- 160 = 80
Three-fourth of the
females are graduates = 80 x ¾ = 60
Questions
and Answers :
1. What is the difference between the number of females who
are non-graduates and the number of males who are graduates?
a) 2 b)24 c)4 d)116 e) 36
Answer : C
Explanation :
Number of females who are non-graduates = 80-60=20
Number of females who are non-graduates = 80-60=20
Number of male graduates =24
Therefore, required difference = 24 -20 = 4
2. What is the sum of the number of females who are
graduates and the number of males who are non -graduates?
a) 184 b)96 c)156 d)84 e) 196
Answer : E
Explanation :
Number female graduates = 60
Number male non-graduates = 136
Number female graduates = 60
Number male non-graduates = 136
Required sum = 60 + 136 = 196
3. What
is the ratio of the total number of males to the number of females who are
non-graduates?
a) 6:1 b)8:1 c)8:3 d)
5:2 e) 7:2
Answer :
Explanation : Total
number of males = 160
Total number of females who are non-graduates
= 20
Required ratio = 160 : 20 = 8 :1
Therefore required ratio = 108 : 117 = 12 : 13
Caselet 2: In a school having 400
students boys and girls are in the ratio of 3:5 respectively. The students
speak Hindi, English or both the languages, 12% of the boys speak only Hindi,
22% of the girls speak only English.24% of the total students speak only Hindi
and the number of boys speaking both languages is 6 times the number of boys
speaking only Hindi.
Explanation
:
Total number of students ( Boys + Girls ) = 400
Total number of students ( Boys + Girls ) = 400
The ratio of boys to girls = 3: 5
Total students who
speak only Hindi =
24% of total students = $\frac{24}{100}$ x 400 =96
24% of total students = $\frac{24}{100}$ x 400 =96
Number of boys = 400 x $\frac{3}{8}$ = 150
Number of girls = 400 x $\frac{5}{8}$ = 250
Number of girls = 400 x $\frac{5}{8}$ = 250
Boys who speak only Hindi =>
12% of total boys = $\frac{12}{100}$ x 150 = 18
12% of total boys = $\frac{12}{100}$ x 150 = 18
Boys who speak both
English and Hindi =
6 times the number of boys speaking only Hindi =6x18=108
6 times the number of boys speaking only Hindi =6x18=108
Boys who speak only
English=150- ( 18 + 108 )
= 150 –126 = 24
= 150 –126 = 24
Girls who speak
only English =22% of total girls =
$\frac{22}{100}$ x 250 =55
$\frac{22}{100}$ x 250 =55
Girls who speak only
Hindi=
Total students who speak only Hindi - Boy who speak only Hindi =96-18=78
Total students who speak only Hindi - Boy who speak only Hindi =96-18=78
Girls who speak Hindi
and English = 250 – (78+55)=117
Questions
and Explanation:
1.
Total how many boys speak Hindi?
a)18 b)126 c)108 d)26 e)None
of these
Answer : a
Explanation :
Number of students
who speak Hindi, then we have to take only and Hindi and (English+ Hindi)
Number of boys who speak Hindi = 18 +108 = 126
Number of boys who speak Hindi = 18 +108 = 126
2.
How many girls speak only Hindi?
a)55 b)117 c)96 d)78
e)None of these
Answer : D
Explanation :
Number of girls who speak only Hindi = 78
Number of girls who speak only Hindi = 78
3.
How many total numbers of students speak English?
a)304 b)79 c)225 d)117
e)None of these
Answer :A
Explanation :
Number of students who speak English = Number of students who speak only
English and number of students who speak both English & Hindi
Number of students
who speak English = 24 +117 +55 +108 = 304
4.
Number of girls speaking only Hindi is what percent of the total number of
students speaking only Hindi?
a)38.2%
b)71.2% c)31.2% d)78% e)81.25%
Answer :
Explanation: Number
girls speaking only Hindi = 78
Total number of students
speaking only Hindi = 78+18 = 96
Required percentage = $\frac{18}{96}$ x 100 = 18.75
5.
What is the respective ratio between the number of boys and girls speaking both
the languages?
a)23:25 b)12:25 c)12:13
d)25:13 e)None
Answer :C
Explanation :
Number of girls who speak both the languages = 117
Number of girls who speak both the languages = 117
Number of boys who speak both the languages =
108
Therefore required ratio = 108 : 117 = 12 : 13
Caselet 3:
Children in a class
play only one or two or all the three games Badminton, Football and Cricket. 5
children play only Cricket, 8 children play only Football and 7 children play
only Badminton. 3 children play only two games Badminton and Football, 4
children play only two games Cricket and Football and another 4 children play
only two games Badminton on and Cricket. 2 children play all the three games.
Explanation
:
We can draw a Venn
diagram from the given information:
1. In all how many children play Football?
a) 8 b)17
c) 15 d)14 e) None of these
Answer : b
Explanation :
Number of football players = 3+2+4+8 =17
2. How many children play Badminton as well
as Cricket?
a) 9 b)10
c) 4 d)6 e) None of these
Answer : D
Explanation :
Number of badminton as well as Cricket players =
4 + 2 =6
Number of badminton as well as Cricket players =
4 + 2 =6
3. Total how many children are there in the
class?
a) 33 b)31 c) 36 d)35 e) None of these
Answer : A
Explanation: Total
number of children in the class = 7+3+2+4+8+4+5 =33
4. In all how many children play Badminton?
a) 14 b)17 c) 12 d)13 e)
16
Answer : E
Explanation :
Total number of children who play Badminton =
4 + 2 + 3 + 7 =16
Total number of children who play Badminton =
4 + 2 + 3 + 7 =16
5. How many children play Football as well
as Cricket?
a) 7 b)4 c) 6 d)15 e) None of these
Answer : C
Explanation:
Number of children who play Football as well as Cricket =
4 + 2 = 6
Number of children who play Football as well as Cricket =
4 + 2 = 6