Quantitative Aptitude: Data Interpretation Questions Set 44

Directions (1-5) : In the table data is given about passed and failed students of five colleges. Some data are given and some are missing. Study the table carefully and answer the related questions given below.

1. Number of failed students is what percent of number of passed students in school D ?
   A) 20%
   B) 80%
   C) 50%
   D) 60%
   E) 90%
   
   View Answer

     
   Option B
   Solution:
   Number of students in school D = 324000 * (80/360) = 72000
   Number of passed students in school D = 72000 *(5/10) = 36000
   Number of failed students in school D = 72000 * (4/10) = 28800
   Required Percentage = (28800 *100 )/36000 = 80%
   
2. How much percent of students are absent  from all six schools ?
   A)  15.06%
   B)  13.26%
   C)  13.05%
   D)  14.88%
   E)  17.47%
   
   View Answer

    Option C
   Solution:
   Number of students in school A = 324000 * (60/360) = 54000
   Number of absent students in school A = 54000 *(1/6) = 9000
   Number of students in school B = 324000 *(48/360) = 43200
   Number of absent students in school B = 43200 *(1/8) = 5400
   Number of students in school C = 32400 *(52/360) =  46800
   Number of absent  students in school C = 46800 *(2/13)= 7200
   Number of students in school D = 32400 *(80/360) = 72000
   Number of absent  students in school D = 72000 *( 1/10)= 7200
   Number of students in school E = 324000 *(45/360) = 40500
   Number of absent  students in school E  = 40500 *(1/9) = 4500
   Number of students in school F  = 324000 *(75/360) = 67500
   Number of absent  students in school F  = 67500 *(2/15) = 9000
   Required Percentage = (9000 + 5400 + 7200 + 7200 + 4500 +9000) *100 / 324000 = 13.05%
3. What is the respective ratio of number of students who attended exam from school C and school F ?
   A) 55 :64
   B) 52 : 45
   C) 44:65
   D) 49:51
   E) None of these
   
   View Answer

     Option C
   Solution:
   Number of students in school C = 46800
   Number of absent students in school C = 7200
   Number of present students in school C  = 46800 – 7200 = 39600
   Number of students in school F = 67500
   Number of absent students in school F = 9000
   Number of present students in school F = 67500 – 9000 = 58500
   Required ratio = 39600 : 58500 = 44 : 65
   
4. What is the difference between passing percentage of students in school B and school E ?
   A) 6.9%
   B) 7.2%
   C) 6.2%
   D) 6.5%
   E) None of these
   
   View Answer

     Option A
   Solution:
   Passed  % of students in school B = (3/8) * 100 =  75/2
   Passed % of students in school E = (4/9) * 100 = 400 /9
   Required difference =( 400 / 9) – (75/2 ) = 125/18 =  6.9%
   
5. Number of passed students is how much percent more /less  than the number of failed students from all schools ?
   A) 15.47%
   B) 13.45%
   C) 14.38%
   D) 15.74%
   E) 13.66%
   
   View Answer

     Option C
   Solution:
   Number of passed students in school A = 324000 * (60/360)*(3/6) = 27000
   Number of failed students  in school A = 32400 *(60/360)*(2/6) = 18000
   Number of passed students in school B = 324000 * (48/360)*(3/8)=16200
   Number of failed students  in school B = 324000 * (48/360)*(4/8)=21600
   Number of passed students in school C = 324000 * (52/360)*(6/13)=21600
   Number of failed students  in school C = 324000 * (52/360)*(5/13) = 18000
   Number of passed students in school D = 324000 * (80/360)*(5/10)=36000
   Number of failed students  in school D  = 324000 * (80/360)*(4/10)=28800
   Number of passed students in school E = 324000 * (45/360)*(4/9)=18000
   Number of failed students  in school E  = 324000 * (45/360)*(4/9)=18000
   Number of passed students in school  F = 324000 * (75/360)*(7/15)=31500
   Number of failed students  in school F = 324000 * (75/360)*(6/15)=27000
   Required percentage = [No. of passed students of all schools – No. of failed students of all schools]/ no. of failed students of all schools
   = [(150300 – 131400 )/131400]*100 = 14.38%
   

Directions (6-10): In the pie- chart data is given about the number of students  who are studying in different schools in year 2016. In the table data is given about the passed, failed and absent students. Study the data carefully and answer the related questions given below.

6. What is the ratio of the number of boys who failed and the number of girls who failed in college A?
   A) 10 : 13
   B) 15 : 16
   C) 12 : 18
   D) 18 : 16
   E) None of these
   
   View Answer

     
   Option B
   Solution:
   Total number of boys in college A = 3500 * (100 /(100 – 30)) = 5000
   Number of boys who failed  in college A = 5000 – 3500 = 1500
   Number of girls who passed in college A =  2400
   Total number of girls in college A =  2400 *  (100/60) = 4000
   Number of girls who failed in college A = 4000 – 2400 = 1600
   Required ratio = 1500 : 1600 = 15 : 16
                 
7. Number of girls who passed is what percent of the number of failed students in college D ?
   A) 48.24%
   B) 45.78%
   C) 47.62%
   D) 49.52%
   E) 42.67%
   
   View Answer

   
     Option C
   Solution:
   Total number of boys in college D = 7000 * (100/ 100 -30) = 10000
   Total number of girls in college D = 5000 * (100 / 100 – 40) = 12500
   Total number of students in college D = 10000 + 12500 = 22500
   Total number of failed students in College D = 22500 – (7000+5000)
   = 10500
   Required percentage = (5000/ 10500 ) * 100 = 47.62%
   
8. What is the difference between the number of boys in E and the number of girls in C?
   A) 4000
   B) 10000
   C) 8000
   D) 6000
   E) 11000
   
   View Answer

     
   Option A
   Solution:
   Number of students in E = 13000 * (100/100 -50) = 26000
   Number of girls  in E = 6000 * (100/100-40) = 10000
   Number of boys in E = 26000 – 10000 = 16000
   Number of students in C = 12000 * (100 / 100- 40) = 30000
   Number of boys in C = 9000 * (100/100-50) = 18000
   Number of girls in C = 30000 – 18000 = 12000
   Required difference = 16000 – 12000 = 4000
   
9. Number of boys is what percent of the number of students in college B ?
   A) 52.74%
   B) 53.55%
   C) 45.78%
   D) 50.18%
   E) 53.12%
   
   View Answer

     
   Option E
   Solution:
   Total number of students in college B = 8000 *(100/50) = 16000
   Total number of girls in college B = 3300*(100/100-56) = 7500
   Total number of  boys in college B = 16000 – 7500 = 8500
   Required percent = (8500*100)/16000 = 53.12%
   
10. What is the number of all students of college A and D ?
    A) 40000
    B) 35000
    C) 56000
    D) 31500
    E) 42000
    
    View Answer

      
    Option  D
    Solution:
    Number of boys in college A = 5000
    Number of girls in college  A = 4000
    Total number of students in college A = 9000
    Number of boys in college D = 10000
    Number of girls in college D = 12500
    Total number of students in college D = 22500
    Total number of students in both the colleges = 9000+22500 = 31500