The following pie chart shows the amount of subscriptions generated for India…

2024

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.Subscriptions Generated for India Bonds

In the corporate sector, approximately how many degrees should be there in the central angle ?

Answer: C. 122Concept: In a pie chart, the full circle (360°) represents the entire data set (100%). So each 1% share of the data corresponds to a central angle of 360° ÷…

  1. A.

    120

  2. B.

    121

  3. C.

    122

  4. D.

    123

Attempted by 5 students.

Show answer & explanation

Correct answer: C

Concept: In a pie chart, the full circle (360°) represents the entire data set (100%). So each 1% share of the data corresponds to a central angle of 360° ÷ 100 = 3.6°. To find the central angle for any category, multiply its percentage share by 3.6°.

  1. The corporate sector (Corporate Houses) accounts for 34% of the total subscriptions, as shown in the pie chart.

  2. Angle contributed by each 1% share = 360° ÷ 100 = 3.6°.

  3. Central angle for the corporate sector = 34 × 3.6° = 122.4°.

  4. Since the question asks for an approximate value, 122.4° rounds to 122°.

Cross-check: The percentages of all categories in the chart — FII 33%, NRI 11%, Corporate Houses 34%, Offshore Funds 16%, Others 4%, National Banks 2% — add up to 100%, confirming the data is internally consistent and that the 3.6°-per-1% conversion is valid. Hence, the central angle for the corporate sector is approximately 122°.

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