Directions:- (1-5)The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 2003 to 2009.
Percentage of Candidates Qualified to Appeared in an Examination Over the Years
Q1. If the number of students appeared in the examination in 2004 and 2005 were in the ratio 2 : 3, then find the ratio of qualified students from these years?
(1) 2 : 3
(2) 5 : 6
(3) 4 : 5
(4) 8 : 15
(5) None of these
Q2. In which pair of years was the number of candidates qualified the same?
(1) 2004 and 2006
(2) 2004 and 2009
(3) 2007 and 2008
(4) 2006 and 2007
(5) Data inadequate
Q3. If the number of candidates qualified in 2007 was 5800, what was the number of candidates appeared in 2007?
(1) 7520
(2) 7250
(3) 7500
(4) 72500
(5) cannot be determined
Q4. If the total number of candidates appeared in 2005 and 2006 together was 42400, then the total number of candidates qualified in these two years together was?
(1) 34700
(2) 32100
(3) 31500
(4) 35200
(5) Data inadequate
Q5. The total number of candidates qualified in 2008 and 2009 together was 6600 and the number of candidates appeared in 2008 was 5100. What was the number of candidates appeared in 2009?
(1) 4000
(2) 4850
(3) 4200
(4) 4150
(5) None of these
Answer & Explanation 1. (5) Required ratio = 50% of 2 : 60% of 3 = 5 : 9 2. (5) 3. (2) 4. (5) 5. (3)
Since the number of candidates appeared for the exam is not given, we cannot find the number of candidates who cleared the exam.
Required number = 5800/0.8 = 7250
Since we don’t know the number of candidates appeared in 2005 and 2006 individually, we cannot find the number of qualified candidates.
Let the number of candidates appeared in 2009 was x. Then
80% of 5100 + 60% of x = 6600
x = 4200