__Caselet 9:__
In
a school 800 students have visited five different cities viz.
Delhi, Ajmer. Varanasi, Mumbai, and Jodhpur. Fifty-four percent of the total
students are boys. One-fourth of the total number of girls visited Mumbai.
Twenty-five percent of the total number of girls visited Delhi. Number of
girls who visited Jodhpur is half the number of girls who visited Delhi.

Five-sixth of the
remaining girls visited Ajmer. Total number of students who visited Mumbai is
192. One-fourth of the total number of boys visited Varanasi. 101 boys have
visited Ajmer. Two-third of the remaining number of boys has visited Delhi.

__Data Interpretation and Analysis__

Total number of
students = 800

Total number of
boys = 54% of total students = 54/100 x 800 = 432

Total number of
girls =800 – 432 = 368

__Girls__
Girls who visited
Mumbai =1/4 of total girls = ¼ x 368 =92

Total number of
girls who visited Delhi = 25% of total girls = 25/100 x 368 =92

Number of girls who
visited Jodhpur= ½ of total number of girls who visited Delhi

= ½ x 96 =46

Remaining girls =
368- (92+92+48)=368-230=138

Total number of
girls who visited Ajmer = 5/6 of remaining girls = 138 x 5/6 =115

Total number of
students who visited Varanasi = 368 - (230+115) =368 – 345 =23

__Boys__
Total number of
boys = 54% of total students = 54/100 x 800 = 432

Total number of
students who visited Mumbai = 192

Boys who visited
Mumbai = 192- 92 = 100

Total number of
boys visited Varanasi = ¼ of total boys = ¼ x 432 = 108

Total number of
boys who visited Ajmer =101

Remaining Boys =
432 –(100+101+108) = 432 – 309 =123

Total number of
boys who visited Delhi = 2/3 of remaining boys =2/3 x 123 = 82

Total number of
boys who visited Jodhpur = 432 – (309+82)=41

**:**

__Questions and Answers on give Caselets in Data Interpretation__**What is the respective ratio between the number of girls who visited Delhi and number of boys who visited Mumbai?**

*1.*
a) 23 : 24 b) 23 :50

*c) 23 : 25*d) 50 : 23 e) None
Answer: C

Explanation :
Number of girls who visited Delhi=92

Number of boys who
visited Mumbai= 100

Therefore, required ratio = 92 :100 = 23 :25

**What is the average number of boys who visited Delhi, Varanasi, and Jodhpur together?**

*2.*
a)
82

*b) 77*c) 86 d) 76 e) None of these
Answer: b

Explanation: Number of boys who visited Delhi= 82

Number
of boys who visited Varanasi = 108

Number
of boys who visited Jodhpur = 41

Average number of boys who visited Delhi,
Varanasi and Jodhpur = (82+108+41)/3 =231/3 =77

**What is two-third of the total number of girls who visited Jodhpur and Varanasi together**

*3.**a) 46*b) 48 c) 54 d) 58 e) None

Answer: A

Explanation: Total
number of girls who visited Jodhpur=46

Total
number of girls who visited Varanasi = 23

2/3

^{rd}of the total number of girls who visited Jodhpur and Varanasi = 2/3 (46+23)=2/3 x 69 =46**Total number of students visited Jodhpur is approximately what percent of the number of girls who visited Ajmer?**

*4.*
a) 90 b) 81 c) 66 d)
70

*e)76*
Answer: E

Explanation: Number of students who visited Jodhpur
= (46+41)=87

Number of
girls who visited Ajmer = 115

Required
percentage = 87/115 x 100% = 75.65% = 76% approximately

**What is the total number of students who visited Varanasi?**

*5.*
a) 121 b) 143 c) 111 d)
153

*e)131**Answer: E*

*Explanation :*

*Number of boys who visited Varanasi = 108*

Number of girls who visited Varanasi=23

Total number of students who
visited Varanasi = 108 + 23 =131

__Case let 10:__
In a school, 1200 students have visited five different
cities viz. Delhi, Kolkata, Varanasi, Mumbai, and Jodhpur.

Forty-five percent of the total students are boys. Thirty percent of
the total girls visited Mumbai. Two-fifth of the total girls visited Delhi. The number of girls who visited Jodhpur is half of the girls visited Delhi.

Two third of the remaining girls visited Kolkata. Total number of
students who visited Mumbai is 300. Twenty percent of the total boys visited
Delhi. Forty percent of the total boys visited Jodhpur. An equal number of boys
visited Kolkata and Varanasi.

(BOB PO 2010)

__Data Analysis and Interpretation:__
Total number of students = 1200

__Girls__
Total number of girls =(100% -45%) =55% of total students = 55/100 x
1200 =660

Number of girls who visited Mumbai
= 30% of total girls = 30/100 x 660 =198

Number of girls who visited Delhi= 2/5

^{th}of total girls = 2/5 x 660 = 264
Number of girls who visited Jodhpur= ½ of the number of girls who visited
Delhi = 264/2 =132

Girls who visited Kolkata = 2/3

^{rd}of remaining girls = 2/3 x (660 – (198+264+132))
=
2/3 x 66 =44

Number of girls who Varanasi =660-(198+264+132+44)=22

__Boys :__
Total number of boys = 45% of total students = 5/100 x 1200 =544

Number of boys who visited Delhi = 20% of total students = 20/100 x 540
=108

Boys who visited Jodhpur = 40% of total boys = 40/100 x 540 = 216

Boys who visited Mumbai = Total students who visited Mumbai – Girls who
visited Mumbai

=300-198
= 102

Remaining boys = 540 – (108+216+102) = 540-426 = 114

Equal number of boys visited Varanasi and Kolkata

Number of boys who visited Kolkata = 114/2 = 57

Total number of boys who visited Varanasi = 114/2 = 57

__Questions and Explanations for the above case let in data interpretation questions:__**What is the total number of girls who visited Delhi, Mumbai and Varanasi together?**

*1.*
a)464 b)484 c)536 d)556 e)None
of these

Answer: B

Explanation: Number of girls who visited Mumbai =198

Number of girls who visited Delhi=
264

Number of girls who visited Varanasi = 22

Required total number of
girls = 198 +264+22 = 484

**Total number of students who visited Jodhpur is approximately what percent of the number of girls who visited Delhi?**

*2.*
a)111 b)91 c)132
d)32 e)72

Answer: C

Explanation: Total number
of students who visited Jodhpur ( Both boys and girls )

= 216 +132 = 348

Total number of girls who
visited Delhi = 264

Therefore, required percentage = 348/246
x 100% = 131.81 = 132% approximately

**What is the average number of boys who visited Kolkata, Varanasi and Jodhpur together?**

*3.*
a)110 b)122 c)101 d)104 e)None
of these

Answer: A

Explanation: Number of boys
who visited Kolkata=57

Number of boys who visited
Varanasi = 57

Number of boys who visited
Jodhpur = 216

The average number of boys who visited Kolkata, Varanasi, and Jodhpur
together = (57+57+216)/3 = 110

**What is the total number of students who visited Varanasi?**

*4.*
a)78 b)69 c)102 d)103 e)79

Answer: E

Explanation: Number of boys who visited Varanasi = 57

Number of girls who visited Varanasi = 22

Total number of students who
visited Varanasi = 57 + 22 =79

**What is the respective ratio between the number of girls who visited Kolkata and the number of boys who visited Mumbai?**

*5.*
a)22:51 b)23:51 c)21:55
d)51:22 d)None

Answer: A

Explanation:

Number of girls who visited Kolkata = 44

Number of girls who visited Kolkata = 44

Number of boys who visited Mumbai = 102

Required ratio = 44 : 102 =
22:51