Quantitative Aptitude: Data Interpretation Questions Set 146

Directions (1-5): Study the following information carefully and answer the questions that follow:
The following pie chart shows the percentage distribution of total number of players who play hockey in 6 different clubs total number of players who play hockey is 8000.
The following table shows the ratio of total number of players who play skating and hockey in different clubs.

  1. Find the ratio between the total number of players who play skating in club P to that of club S.
    130:187
    120:111
    111:123
    141:160
    117:119
    Option A
    The total number of players who play skating in club P
    = >8000 * (18/100) * (13/9) = 2080
    The total number of players who play skating in club S
    = >8000 * (22/100) * (17/10) = 2992
    Required ratio = 2080 : 2992 = 130 : 187

     

  2. Find the difference between the total number of players who play Hockey in club Q and R together to that of total number of players who play skating in club Q and T together.
    509
    504
    505
    409
    550
    Option B
    The total number of players who play Hockey in club Q and R together
    = >8000 * (36/100) = 2880
    The total number of players who play skating in club Q and T together
    = >8000 * (16/100) * (17/20) + 8000 * (14/100) * (23/20)
    = >1088 + 1288 = 2376
    Required difference = 2880 – 2376 = 504

     

  3. Total number of players who play Hockey in club P and S together is approximately what percentage of total number of players who play Skating in club R and U together?
    112
    114
    115
    117
    119
    Option D
    Total number of players who play Hockey in club P and S together
    = > 8000 * (40/100) = 3200
    Total number of players who play Skating in club R and U together
    = >8000 * (20/100) * (31/40) + 8000 * (10/100) * (15/8)
    = >1240 + 1500 = 2740
    Required % = (3200 / 2740) * 100 = 116.788 % = 117 %

     

  4. Find the average number of players who play skating in all the given institutions except club T.
    1280
    1480
    1780
    1680
    1980
    Option C
    The total number of players who play skating in all the given institutions except club T
    = > (8000 * (18/100) * (13/9) + 8000 * (16/100) * (17/20) + 8000 * (20/100) * (31/40) + 8000 * (22/100) * (17/10) + 8000 * (10/100) * (15/8))
    = > (2080 + 1088 + 1240 + 2992 + 1500) = 8900
    Required average = 8900 / 5 = 1780

     

  5. Find the difference between the average number of players who play hockey in club T and U together to that of the average number of players who play skating in club Q and T together.
    228
    823
    123
    512
    713
    Option A
    The average number of players who play hockey in club T and U together
    = >8000 * (24/100) * (1/2) = 960
    The average number of players who play skating in club Q and T together
    = >[8000 * (16/100) * (17/20) + 8000 * (14/100) * (23/20)] / 2
    = > (1088 + 1288) / 2 = 1188
    Required difference = 1188 – 960 = 228

     

  6. Directions (6-10): Study the following table carefully and answer the questions that follow:

  7. What is the ratio of the total number of farmers in city A, C and E together to that of the total number of police in city B, C and D together?
    38: 31
    38: 41
    38: 39
    38: 30
    38: 37
    Option E
    Required ratio = (120 + 160 + 100): (120 + 100 + 150)
    = 380: 370 = 38: 37

     

  8. If the number of male farmers in city B is 26 and total number of males in city B is 48% of the total number of farmers in city D. What percentage of female police in city B from the total people (Farmers and Police)?
    22
    23
    24
    25
    26
    Option D
    Total number of male in city B = 48/100 * (200)
    = 96
    Number of male Police in city B = 96 – 26 = 70
    Number of female police in city B = 120 – 70 = 50
    Required percentage = 50/200 * 100 = 25%

     

  9. What is the difference between the number of police in city D and C is what percentage more/less than the number of farmers in city E?
    50
    55
    60
    65
    70
    Option A
    Difference between police in city D and C = 150 – 100 = 50
    Required percentage = (100 – 50)/100 * 100
    = 50%

     

  10. What is the average number of Farmers in all the given cities together?
    131
    132
    133
    134
    135
    Option B
    Required average = (120 + 80 + 160 + 200 + 100)/5
    = 660/5 = 132

     

  11. What is the ratio of the difference between the police in the city D and B to that of the difference between the farmers in the city A and C?
    3: 10
    3: 11
    3: 7
    3: 4
    3: 5
    Option D
    Required ratio = (150 – 120): (160 – 120)
    = 30: 40 = 3: 4

     

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