Line Chart Questions Answers

• 1. The strength of the school increased from 1997 to 1998 by what percent ?

  1. 1.7%
  2. 1.8%
  3. 1.9%
  4. 2%

  Answer :

  Option A

  Explanation:

  Let analyse the graph before answering question.
  Number of students in 1995 = 3000 [given]
  Number of students in 1996 = 3000-250+350 = 3100
  Number of students in 1997 = 3100-450+300 = 2950
  Number of students in 1998 = 2950-400+450 = 3000
  Number of students in 1999 = 3000-350+500 = 3150
  Number of students in 2000 = 3150-450+400 = 3100
  Number of students in 2001 = 3100-450+550 = 3200
  
  Above analysis will help us solving problems for this line graph.
  
  Lets be back on question now,
  Percentage increase in strength of the school from 1997 to 1998 will be,
  ((3000−2950)2950∗100)%=1.69%
  \begin{aligned}
  \left(\frac{(3000-2950)}{2950} *100\right)\% \\
  = 1.69\%
  \end{aligned}
  So this is approx equal to 1.7%
  
  

• 2. The number of students studying in the school during 1999 was :
  
  

  1. 3100
  2. 3000
  3. 3150
  4. 3250

  Answer :

  Option C

  Explanation:

  Number of students in 1995 = 3000 [given]
  Number of students in 1996 = 3000-250+350 = 3100
  Number of students in 1997 = 3100-450+300 = 2950
  Number of students in 1998 = 2950-400+450 = 3000
  Number of students in 1999 = 3000-350+500 = 3150
  

• 3. During which of the following pairs of years, the strength of the school was same ?

  1. 1997 and 1998
  2. 1998 and 2000
  3. 1999 and 2001
  4. 1996 and 2000

  Answer :

  Option D

  Explanation:

  Number of students in 1995 = 3000 [given]
  Number of students in 1996 = 3000-250+350 = 3100
  Number of students in 1997 = 3100-450+300 = 2950
  Number of students in 1998 = 2950-400+450 = 3000
  Number of students in 1999 = 3000-350+500 = 3150
  Number of students in 2000 = 3150-450+400 = 3100
  Number of students in 2001 = 3100-450+550 = 3200
  
  From from above options we find in 1996 and 2000 number of students was same i.e. 3100
  
  

• 4. The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001 ?

  1. 90.75%
  2. 91.75%
  3. 92.75%
  4. 93.75%

  Answer :

  Option D

  Explanation:

  Number of students in 1995 = 3000 [given]
  Number of students in 1996 = 3000-250+350 = 3100
  Number of students in 1997 = 3100-450+300 = 2950
  Number of students in 1998 = 2950-400+450 = 3000
  Number of students in 1999 = 3000-350+500 = 3150
  Number of students in 2000 = 3150-450+400 = 3100
  Number of students in 2001 = 3100-450+550 = 3200
  
  In 2001 students = 3200
  In 1998 students = 3000
  \begin{aligned}
  \text{Required Percentage =} \\
  \left(\frac{3000}{3200}*100\right)\% \\
  = 93.75\%
  \end{aligned}

• 5. Among the given years the largest number of students joined in which year ?

  1. 1999
  2. 2000
  3. 2001
  4. 1998

  Answer :

  Option C

  Explanation:

  Clearly from the line graph we can judge it was in year 2001.
  
  

• 6. For which year, the percentage rise/fall in the number of students who left the school compared to previous years is maximum ?
  
  

  1. 1997
  2. 1998
  3. 1999
  4. 2000

  Answer :

  Option A

  Explanation:

  Please note we are calculating the percentage rise/fall of number of students left.
  \begin{aligned}
  \text{for 1997} = \left[\frac{(450-250)}{250} * 100\right]\% \\
  = 80\%(rise) \\
  \text{for 1998} = \left[\frac{(450-400)}{450} * 100\right]\% \\
  = 11.11\%(fall) \\
  \text{for 1999} = \left[\frac{(400-350)}{350} * 100\right]\% \\
  = 28.57\%(rise) \\
  \text{for 2000} = \left[\frac{(450-350)}{350} * 100\right]\% \\
  = 28.57\%(rise) \\
  \end{aligned}
  So it was maximum in 1997
  
  

• 7. The ratio of the least number of students who joined the school to the maximum number of students who left the school in any of the years during the given period is:

  1. 1:2
  2. 2:3
  3. 3:5
  4. 3:7

  Answer :

  Option B

  Explanation:

  \begin{aligned}
  \text{Required Ratio =}\frac{300}{450} \\
  = \frac{2}{3} = 2:3
  \end{aligned}