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Pie chart: convert a share (percentage, value or ratio) to a sector angle, or an angle back to a share

This type of question, asked 4 times: CDS 2 2016, CDS 1 2018, CDS 1 2020, CDS 2 2026. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2016

    93
    A pie chart depicts the classification of total funds of an organization according to different sources of funds. A particular sector of pie chart for corporate tax has 108∘108^\circ angle at the centre. What is the percentage of income from corporate tax to total funds ?

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  2. Question 2

    CDS 1 2018

    51
    A Pie Chart is drawn for the following data :
    SectorPercentage
    Agriculture and Rural Development12.9
    Irrigation12.5
    Energy27.2
    Industry and Minerals15.4
    Transport and Communication15.9
    Social Services16.1
    What is the angle (approximately) subtended by the Social Services Sector at the centre of the circle?

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  3. Question 3

    CDS 1 2020

    36
    In a pi-diagram there are three sectors. If the ratio of the angles of the sectors is 1:2:31 : 2 : 3, then what is the angle of the largest sector ?

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  4. Question 4

    CDS 2 2026

    100
    The following data gives the investment in different categories by a governmental organization :
    Sr. No.ItemInvestment (Rs. in crores)
    1Science, Technology and Environment7,200
    2Transport and Communication3,000
    3Rural Development1,500
    4Industry and Minerals3,800
    5Agricultural Services2,500
    Which of the following statements is/are correct ? I. The percentage investment in the 'Science, Technology and Environment' category is 40%. II. The angle (in degrees) for 'Agricultural Services' in a pie diagram is 50∘50^\circ. Select the answer using the code given below :

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