Quantitative Aptitude: Data Interpretation Set 17 (Bar Graph)

Directions (1 – 5): Study the following bar graph and answer the questions that follow.
Votes are polled in 10 constituencies of Haryana. After the polls, some votes were declared invalid.

The bar chart shows the % of votes received by the winning and the losing candidates (Suppose there are only 2 candidates) out of the “valid votes”, which is “total votes” polled minus the “invalid votes”. The one which got the highest number of votes from the “valid votes” was declared the winner.

The total number of invalid votes in each constituency – Karnal, Faridabad, Gurgaon, Hisar, Sirsa, Bhiwani, Ambala, Rohtak, Panipat and Kurukshetra are 3800, 2000, 11400, 0, 2700, 150, 4200, 360, 320, 6800 respectively.

  1. What is the total number of voters in the given 10 constituencies of Haryana?
    A) 217000
    B) 234000
    C) 276000
    D) 211000
    E) Cannot be determined
    View Answer
    Option E
    Solution:

    In Karnal, valid votes are 45+36 = 81%, so invalid votes are 100-81 = 19%
    Same as with other constituencies. So
    Total number of votes polled in Karnal = (3800/19) * 100 = 20,000
    Total number of votes polled in Faridabad = (2000/10) * 100 = 20,000
    Total number of votes polled in Gurgaon = (11400/38) * 100 = 30,000
    Total number of votes polled in Hisar cannot be found because there is no invalid vote here.
    Total number of votes polled in Sirsa = (2700/9) * 100 = 30,000
    Total number of votes polled in Bhiwani = (150/1) * 100 = 15,000
    Total number of votes polled in Ambala = (4200/14) * 100 = 30,000
    Total number of votes polled in Rohtak = (360/2) * 100 = 18,000
    Total number of votes polled in Panipat = (320/8) * 100 = 4,000
    Total number of votes polled in Kurukshetra = (6800/17) * 100 = 40,000
  2. What is the difference between the number of votes received by the winning and the losing candidate from Sirsa?
    A) 5400
    B) 5700
    C) 6600
    D) 4500
    E) 5900
    View Answer
    Option B
    Solution:

    Total number of votes from Sirsa = 30,000
    Difference between votes = 30000/100 * (55-36) = 5700
  3. What is the total number of valid votes received by winning candidates from Panipat, Ambala and Karnal together?
    A) 26540
    B) 21760
    C) 23780
    D) 26340
    E) Cannot be determined
    View Answer
    Option D
    Solution:

    Total number of votes of winners from Panipat, Ambala and Karnal =
    4000*81/100 + 20000*45/100 + 30000*47/100 = 3240 +9000+ 14100 = 26340
  4. In the last elections, there was a total of 3,00,000 voters in these 10 constituencies. If this time, there is an increase by 10%, thhen what is eth total number of voters from Hisar?
    A) 1,28,000
    B) 1,23,000
    C) 1,32,000
    D) 1,34,000
    E) 1,25,000
    View Answer
    Option B
    Solution:

    Total number of votes this time = 110/100 * 300000 = 3,30,000
    Total number of voters from other constituencies this time = 2,07,000
    So total number of votes from Hisar = 3,30,000 – 2,07,000 = 1,23,000
  5. What is the total number of valid votes from Bhiwani and Kurukshetra together?
    A) 32,030
    B) 38,400
    C) 23,760
    D) 45,550
    E) 48,050
    View Answer
    Option E
    Solution:

    Total number of valid votes from Bhiwani = 15000 – 150 = 14,850
    Total number of valid from Kurukshetra = 40,000 – 6800 = 33,200
    So total number of valid votes = 14850+33200 = 48,050

Directions (6 – 10): Study the following bar graph and answer the questions that follow.
The bar graph shows the percentage of students passing in various standards in a school. Maximum marks for each subject of every class is same.

  1. If the number of boys and girls passing in class 5 are same, then what is the ratio between the number of boys and girls in class 5?
    A) 4 : 3
    B) 5 : 3
    C) 4 : 9
    D) 3 : 4
    E) 3 : 8
    View Answer
    Option D
    Solution:

    In class 5, let there are x boys and y girls
    So number of boys passing = 0.8x, and girls = 0.6y
    and 0.8x = 0.6y
    S0 x/y = 3/4
  2. In class 7, 44% of the total students got passed. If total number of boys in class 7 is 200, then what is the total number of girls in class 7?
    A) 50
    B) 52
    C) 59
    D) 66
    E) 60
    View Answer
    Option A
    Solution:

    Let total number of girls in class 7 = x
    total number of boys passing = 200 * 0.4 = 80
    Total number of girls passing = x*0.6 = 0.6x
    So passed percentage of students = (80+0.6x)/(200+x)
    So 44/100 = (80+0.6x)/(200+x)
    Solve, x = 50
  3. If the total number of boys and girls in each class is 150 and 120 respectively, then what is overall pass percentage of the school?
    A) 64%
    B) 69%
    C) 72%
    D) 81%
    E) 54%
    View Answer
    Option B
    Solution:

    Ther are 6 classes in all, total number of students = 6*(150+120) = 1620
    Boys passing = 150 * (0.8+0.8+0.4+0.9+0.7+0.7) = 645
    Girls passing = 120 * (0.6+0.7+0.6+0.6+0.8+0.6) = 468
    So overall pass% = (645+468)/1620 * 100 = 69%
  4. If the ratio between the number of boys and the number of girls in class 9 is 4 : 1, then what is the ratio between number of boys passed and number of girls passed in class 9?
    A) 9 : 4
    B) 9 : 5
    C) 4 : 1
    D) 6 : 7
    E) 7 : 2
    View Answer
    Option E
    Solution:

    Let there are 400 boys and 100 girls in class 9,
    Number of boys passing = 70/100 * 400 = 280
    Girls = 80/100 * 100 = 80
    So ratio = 280 : 80 = 7 : 2
  5. Assuming the data of question 8, if the overall average marks of boys is 50% and that of girls is 60%, then what is the average marks of the students in the school?
    A) 42%
    B) 54%
    C) 58%
    D) 65%
    E) 63%
    View Answer
    Option B
    Solution:

    Required average = (50/100 * 150 + 60/100 * 120)/[150+120] * 100= 14700/270 = 54%

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