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Directions (1 - 5): Study the following line graph carefully and answer the questions given below:
Number of Students Appearing For Aptitude Test From Various Town (In Thousands).
direction image of Line Chart chapter
1
The number of students appearing for the Aptitude Test from Town E is approximately what percent of the total number of students appearing for the Aptitude Test from all the towns together?
Discuss
Answer & Solution
$$\eqalign{ & \text{Required %} \cr & = \left(\frac{35\times1000}{167.5\times1000}\times100\right)\% \cr & = \frac{350\times100}{1675}\% \cr & = \frac{1400}{67}\% \cr & = 20.89\% \cr & \approx 21\% \cr} $$
2
What is the ratio of the number of students appearing for the Aptitude Test from Town B to that from Town A?
Discuss
Answer & Solution
Ratio of number of students from Town B to that from Town A
$$\eqalign{ & = \frac{32.5\times1000}{40\times1000} \cr & = \frac{325}{400} \cr & = \frac{13}{16} \cr & = 13:16 \cr} $$
3
What is the ratio of the number of students appearing for the Aptitude Test from Towns C and D together to the number of students appearing for the Aptitude Test from Towns A, D and E together?
Discuss
Answer & Solution
(Students from Towns C and D) : (Students from Towns A, D and E)
$$\eqalign{ & = \frac{\left(17.5+42.5\right)\times1000}{\left(40+42.5+35\right)\times1000} \cr & = \frac{60}{117.5} \cr & = \frac{600}{1175} \cr & = \frac{24}{47} \cr & = 24 : 47 \cr} $$
4
What is the average number of students appearing for the Aptitude Test from all the towns together?
Discuss
Answer & Solution
Average number of students appearing in Aptitude Test from all towns
  $$ = \frac{\left(40+32.5+17.5+42.5+35\right)\times1000}{5}$$
$$\eqalign{ & = \frac{167.5\times1000}{5} \cr & = 33.5\times1000 \cr & = 33500 \cr} $$
5
The number of students appearing for the Aptitude Test from Town D is approximately what percentage of the number of students appearing for the Aptitude Test from Town C?
Discuss
Answer & Solution
$$\eqalign{ & \text{Required percentage} \cr & = \left(\frac{42.5\times1000}{17.5\times1000}\times100\right)\% \cr & = \left(\frac{425}{175}\times100\right)\% \cr & = \frac{425\times4}{7}\% \cr & = \frac{1700}{7}\% \cr & = 242.85\% \cr & \approx 243\% \cr} $$