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Directions (1 - 5): Study the table given below carefully and answer the question that follow:
Number of Athletes (In Hundred) Who Participated In a Sports Event from 5 different Countries Over the Years.
M → Male     F → Female
Country → A B C D E
Years ↓ M F M F M F M F M F
2005 4.4 3.3 6.3 4.2 4.5 3.1 5.6 4.1 4.7 2.1
2006 6.6 4.2 8.4 6.2 6.9 3.3 8.4 6.3 7.8 5.2
2007 4.6 1.8 7.4 4.8 4.8 2.8 9.3 7.3 8.7 6.5
2008 9.6 4.9 11.4 8.4 6.6 4.2 12.6 9.4 8.9 5.8
2009 11.8 6.4 10.6 5.2 7.9 6.3 14.4 10.2 11.8 9.2
2010 8.2 5.2 6.4 7.2 10.8 6.9 15.6 12.1 13.6 9.8
1
What was the average number of female athletes who participated from country B over all the years together?
Discuss
Answer & Solution
Average number of female athletes from B over all the years.
$$\eqalign{ & = \frac{\left(4.2+6.2+4.8+8.4+5.2+7.2\right)\times100}{6} \cr & = \frac{3600}{6} \cr & = 600 \cr} $$
2
The number of female athletes who participated from Country E in the year 2009 was approximately what percentage of the total number of athletes who participated from Country B in the year 2008?
Discuss
Answer & Solution
Number of female athletes from E in 2009
= 9.2 × 100
= 920
Total number of athletes from B in 2008
= (11.4 + 8.4) × 100
= 19.8 × 100
= 1980
Let 920 = x% of 1980
Then,
$$\eqalign{ & \Rightarrow \frac{x}{100}\times1980 = 920 \cr & \Rightarrow x = \frac{920 × 100}{1980} \cr & \,\,\,\,\,\,\,\,\, = \frac{4600}{99}\% \cr & \,\,\,\,\,\,\,\,\, = 46.46\% \cr & \,\,\,\,\,\,\,\,\, \approx 46\% \cr} $$
3
In which of the following years was total number of participates (athletes) the second highest from Country C?
Discuss
Answer & Solution
Total number of athletes from C in various years:
2005 → (4.5 + 3.1) × 100
            = 7.6 × 100
            = 760
2006 → (6.9 + 3.3) × 100
            = 10.2 ×100
            = 1020
2007 → (4.8 + 2.8) × 100
            = 7.6 × 100
            = 760
2008 → (6.6 + 4.2) × 100
            = 10.8 × 100
            = 1080
2009 → (7.9 + 6.3) × 100
            = 14.2 × 100
            = 1420
2010 → (10.8 + 6.9) × 100
            = 17.7 × 100
            = 1770
It was second highest in 2009. So, the correct answer is (E).
4
What was the approximate percentage decrease in the number of male athletes who participated from Country C in the year 2007 as compared to the previous year?
Discuss
Answer & Solution
  Number of male athletes in 2006 from C
  = 6.9 × 100
  = 690
  Number of male athletes in 2007 from C
  = 4.8 ×100
  = 480
$$\eqalign{ & \therefore \text{Decrease }\% \cr & = \left(\frac{690-480}{690}\times100\right)\% \cr & = \left(\frac{210}{690}\times100\right)\% \cr & = \frac{700}{23} \% \cr & = 30.4\% \cr & \approx 30\% \cr} $$
5
In which of the following countries is the difference between the number of male and female participants second highest in the year 2006?
Discuss
Answer & Solution
In 2006, the difference between males and females in various countries was
A → (6.6 - 4.2) × 100
    = 2.4 × 100
    = 240
B → (8.4 - 6.2) × 100
    = 2.2 × 100
    = 220
C → (6.9 - 3.3) × 100
    = 3.6 × 100
    = 360
D → (8.4 - 6.3) × 100
    = 2.1 × 100
    = 210
E → (7.8 - 5.2) × 100
    = 2.6 × 100
    = 260
It was second highest in E.