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Data Sufficiency

Direction: Study the following graph carefully to answer the questions that follow : Number of students (in thousand) enrolled in 3 different districts in 6 different years.

  1. What was the approximate average number of students enrolled in District A over all the years together?










  1. View Hint View Answer Discuss in Forum

    Required average = Sum of total number of students enrolled in District A in overall the years
    Total number of years

    Correct Option: B

    From above given Bar graph , we can see that
    Number of students enrolled in District A in
    years 2005 = 3000 students
    years 2006 = 5000 students
    years 2007 = 6000 students
    years 2008 = 8000 students
    years 2009 = 7000 students
    years 2010 = 5000 students

    Required average = Sum of total number of students enrolled in District A in overall the years
    Total number of years

    Required average = 3000 + 5000 + 6000 + 8000 + 7000 + 5000
    6

    Required average =1000 x 34 = 5666
    6


  1. Total number of students enrolled in District A and District B together in the year 2010 was what percentage of the total number of students enrolled in District A in the year 2008?










  1. View Hint View Answer Discuss in Forum

    Required percentage =Total number of students enrolled in District A and District B in the year 2010 x 100%
    Total number of students enrolled in District A in the year 2008

    Correct Option: A

    Given in the graph :-
    Number of students enrolled in District A in the year 2010 = 5000
    Number of students enrolled in District B in the year 2010 = 7000
    Total number of students enrolled in District A in the year 2008 = 8000

    Required percentage =Total number of students enrolled in District A and District B in the year 2010 x 100%
    Total number of students enrolled in District A in the year 2008

    Required percentage = ( 5000 + 7000 )x 100
    8000

    Required percentage = 12000 = 150 %
    80

  1. What was the percentage increase in enrollment in the number of students in District C in year 2007 as compared to that in the previous year?










  1. View Hint View Answer Discuss in Forum

    ∵ Required Percentage =Total change in enrollment x 100
    Total number of students in District C in year 2006

    Correct Option: D

    As per given graph, We have
    Number of students in District C in year 2007 = 9
    Number of students in District C in year 2006 = 8
    Total change in enrollment = Students in District C in year 2007 - Students in District Cin year 2006
    Total change in enrollment = 9 - 8 = 1

    ∵ Required Percentage =Total change in enrollment x 100
    Total number of students in District C in year 2006

    = 1 x 100 = 12.5 %
    8

  1. In which year was the number of students enrolled in all the three districts together the second highest?










  1. View Hint View Answer Discuss in Forum

    Total number of students as per given, we can draw as below.


    Correct Option: C

    From given graph , we can see that
    Since , In 2008 year is the number of students enrolled in all the given 3 districts together the second highest.
    Hence required Answer will be 2008 year .


  1. What was the difference between the number of students enrolled in all the 3 districts together in the year 2008 and the number of students enrolled in District B over all the years together?










  1. View Hint View Answer Discuss in Forum

    Required Difference = Students in district B over all the years ( 2005 to 2010 ) − Students in 2008 in all 3 districts

    Correct Option: A

    Students enrolled in 2008 in all three districts ( A + B + C ) = 8000 + 6000 + 7000 = 21000
    Students enrolled in district B over all the years ( 2005 to 2010 ) = 5000 + 4000 + 7000 + 6000 + 4000 + 7000 = 33000
    ∴ Required Difference = Students in district B over all the years ( 2005 to 2010 ) − Students in 2008 in all 3 districts
    ∴ Required Difference = 33000 − 21000 = 12000