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Directions (1 - 5): Study the given table carefully and answer the question that follow:
Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones.
Note: Here App. means Appeared and Qual. Means qualified.
Year P Q R S T
App. Qual. App. Qual. App. Qual. App. Qual. App. Qual.
2005 3.2 2.5 3.5 1.4 3.8 2.2 4.2 2.4 6.2 2.6
2006 4.6 3.4 6.9 4.2 6.9 4.4 7.4 3.3 6.2 4.8
2007 6.5 4.9 7.7 4.5 5.9 4.8 8.3 5.6 6.4 4.2
2008 7.4 5.7 5.4 3.4 7.2 3.2 9.3 6.4 7.8 6.2
2009 8.8 4.8 6.6 5.2 8.6 6.8 11.4 5.2 9.9 6.9
2010 9.2 5.6 10.6 6.4 10.3 7.4 14.2 11.4 11.8 9.4
1
What was the average number of candidates appeared from zone T over all the years together?
Discuss
Answer & Solution
Average number of candidates appeared from T all over the years
$$\eqalign{ & = \frac{\left(6.2+6.2+6.4+7.8+9.9+11.8\right)\times100}{6} \cr & = \frac{48.3\times100}{6} \cr & = \frac{4830}{6} \cr & = 805 \cr} $$
2
In which years was in zones the different between the appeared candidates and qualified candidates the second lowest?
Discuss
Answer & Solution
In zone S, the difference between the appeared candidates and the qualified candidates in various years is given below:
2005 → (4.2 - 2.4) = 1.8
2006 → (7.4 - 3.3) = 4.1
2007 → (8.3 - 5.6) = 2.7
2008 → (9.3 - 6.4) = 2.9
2009 → (11.4 - 5.2) = 6.2
2010 → (14.2 - 11.4) = 2.8
If was lowest in 2005 and second lowest in 2007
3
From which zone was the total number of candidates who qualified the test, the second highest in the year?
Discuss
Answer & Solution
Total number of candidates who qualified the test in various zones are:
Total number of qualified students in P = 2.5 + 3.4 + 4.9 + 5.7 + 4.8 + 5.6 ⇒ 26.9

Total number of qualified students in Q = 1.4 + 4.2 + 4.5 + 3.4 + 5.2 + 6.2 ⇒ 25.1

Total number of qualified students in R = 2.2 + 4.2 +4.8 + 3.2 + 6.8 + 7.4 ⇒ 28.8

Total number of qualified students in S = 2.4 + 3.3 + 5.6 + 6.4 + 5.2 + 11.4 ⇒ 34.3

Total number of qualified students in T = 2.6 +4.8 +4.2 + 6.2 + 9.4 + 6.9 ⇒ 34.1

 34.1 is the second highest

∴ Zone T is the second highest in total number of qualified students. 
4
The number of candidates who qualified the test from zone R in the year 2010 was approximately what percentage of the number of candidates who appeared from zone Q in the year 2008?
Discuss
Answer & Solution
$$\eqalign{ & \text{Required percentage} \cr & = \left(\frac{7.4}{5.4}\times100\right)\% \cr & = \frac{3700}{27}\% \cr & = 137\% \cr} $$
5
What was the ratio of the number of candidates appeared from zone P in the year 2005 to the number to the number of candidates qualified from zone S in the year 2007 ?
Discuss
Answer & Solution
$$\eqalign{ & \text{Required ratio} \cr & = \frac{3.2}{5.6} \cr & = \frac{32}{56} \cr & = \frac{4}{7} \cr & = 4:7 \cr} $$