Multiple Choice Questions on In pie chart 2 secretary of Chief of Army staff made a discrepancy Which division has a discrepancy ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

In pie chart 2 secretary of Chief of Army staff made a discrepancy Which division has a discrepancy ...........

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    Directions : Study the following pie charts carefully and answer the questions given beside.
     

    Number of soldiers in army of a country is 10,00,000. Total females in the army are 2,80,000. There are 6 divisions within the army namely A, B, C, D, E and F. In the meeting of Defence Minister with Chief of Army staff, number of soldier and their status within each division in terms of male and female population were discussed. Chief of Army Staff gave the following pie charts to Defence Minister.
     
    Population of each division in terms of percentage has been given in pie chart-1, and pie chart-2 gives the number of males in those divisions in terms of degrees within pie chart of total male population in the army.

    In pie chart-2, secretary of Chief of Army staff made a discrepancy. Which division has a discrepancy in terms of number of males and female soldiers in each division.

    F

    Incorrect Answer

    E

    Correct Answer

    D

    Incorrect Answer

    B

    Incorrect Answer

    C

    Incorrect Answer
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    Explanation:
    Since population of the city is 10,00,000 we first calculate what population different divisions of the city has.

    A = 18% of 10,00,000 = 1,80,000
    B = 12% of 10,00,000 = 1,20,000
    C = 15% of 10,00,000 = 1,50,000
    D = 20% of 10,00,000 = 2,00,000
    E = 13% of 10,00,000 = 1,30,000
    F = 22% of 10,00,000 = 2,20,000
    Total Male-Female population in each of divisions:
     
    A: Male = 7,20,000 ×400/3600=80000
    A: Female = total population in A – total males in A = 1,80,000 – 80,000 = 1,00,000

    B: Male = 7,20,000 ×600/3600=120000
    B: Female = total population in B – total males in B = 1,20,000 – 1,20,000 = 0

    C: Male = 7,20,000 ×550/3600=110000
    C: Female = total population in C – total males in C = 1,50,000 – 1,10,000 = 40,000

    D: Male = 7,20,000 ×450/3600=90000
    D: Female = total population in D – total males in D = 2,00,000 – 90,000 = 1,10,000

    E: Male = 7,20,000 ×700/3600=90000=140000
    E: Female = total population in E – total males in E = 1,30,000 – 1,40,000 = –10,000 (it has discrepancy)
     

    F: Male = 7,20,000 ×900/3600=18
    F: Female = total population in F – total males in F = 2,20,000 – 1,80,000 = 40,000

    we see that division E has discrepancy that the number of female soldiers is in negative.

     

    Hence, option B is correct.

    By: Munesh Kumari
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