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Directions (1 - 5): Study the following graph carefully and answer the questions that follow:
No. Of students (in thousands) who opted for Three Different Specializations during the Given Five Years in a University.
Direction image of Bar Chart chapter
1
If the total number of students in the university in the year 2007 was 455030, the total number of students who opted for the given three subjects was approximately what percent of the total students?
Discuss
Answer & Solution
In 2007, we have:
Total number of students = 455030
Number of those choosing the given three subjects
= 15000 + 10000 + 15000
= 40000
∴ Required percentage
$$\eqalign{ & = \left(\frac{40000}{455030}\times100\right)\% \cr & = 8.79\% \cr & \approx 9\% \cr} $$
2
What is the ratio of the number of students who opted for English in the years 2006 and 2008 together to the number of students who opted for Hindi in the years 2005 and 2009 together?
Discuss
Answer & Solution
Ratio of the number who opted for English in 2006 and 2008 to the number who opted for Hindi in 2005 and 2009
= (25 + 30) : (5 + 20)
= 55 : 25
= 11 : 5
3
What is the total number of students who opted for Hindi and Mathematics in the years 2006, 2007 and 2009 together?
Discuss
Answer & Solution
Number of students who opted Hindi and Mathematics in 2006, 2007 and 2009
= {(5 + 35) + (15 + 15) + (20 + 5)} thousands
= 95000
4
Out of the total number of students who opted for the given three subjects in the year 2009, 38% were girls. How many boys opted for Mathematics in the same year?
Discuss
Answer & Solution
Number of students who opted for the given three subjects in the year 2009 is
= 20000 + 20000 + 5000
= 45000
Number of girls = 38% of 45000
= 45000 × $$\frac{38}{100}$$
= 17100
Out of these, the number of boys who opted for Mathematics cannot be found.
5
The total number of students who opted for Mathematics in the years 2005 and 2008 together is approximately what percent of the total number of students who opted for all three subjects in the same years?
Discuss
Answer & Solution
Number of students opting Mathematics in 2005 and 2008
= 15000 + 30000
= 45000
Number of students opting for these three subjects in 2005 and 2008
= {(5 + 35 + 15) + (25 + 30 + 30)} thousands
= 55000 + 85000
= 140000
$$\eqalign{ & \text{Required %} \cr & = \left(\frac{45000}{140000}\times100\right)\% \cr & = \frac{225}{7}\% \cr & = 32.14\% \cr & \approx 32\% \cr} $$