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. The number of
girls who visited Jodhpur is half the number of girls who visited Delhi.
Five-sixth of the
remaining girls visited Ajmer. The 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-thirds of the remaining 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:
1.
What is the respective ratio between the number of girls who visited Delhi and the number of
boys who visited Mumbai?
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
2.
What is the average number of boys who visited Delhi, Varanasi, and Jodhpur together?
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
3.
What is
two-thirds of the total number of girls who visited Jodhpur and Varanasi
together
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
2/3rd of the total number of girls who
visited Jodhpur and Varanasi = 2/3 (46+23)=2/3 x 69 =46
4. the Total number
of students who visited Jodhpur is approximately what percent of the number of girls
who visited Ajmer?
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
5.
What is the total number of students who visited Varanasi?
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 number of girls who visited Delhi.
Two third of the remaining girls visited Kolkata. The 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= 2/5th 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 = 2/3rd 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:
1.
What is the total number of girls who visited Delhi, Mumbai, and
Varanasi together?
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
2. the Total number of students who visited Jodhpur is approximately what
percent of the number of girls who visited Delhi?
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
3.
What is the average number of boys who visited Kolkata, Varanasi, and
Jodhpur together?
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
4.
What is the total number of students who visited Varanasi?
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
5.
What is the respective ratio between the number of girls who visited
Kolkata and the number of boys who visited Mumbai?
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