UPSC Prelims 2021 · CSAT
Question 74: Data Interpretation
A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body. Given that proteins correspond to 16% and water corresponds to 70%. If both proteins and the other dry elements correspond to p%, then what is the central angle of the sector representing p on the pie diagram ?
AnswerUPSC’s answer is (c).
A pie chart's sectors add to 100%, which is 360°. Proteins are 16% and water 70%, so the other dry elements are 100 − 16 − 70 = 14%. Proteins and other dry elements together are 16 + 14 = 30%, which is p. The central angle is 30% of 360° = 108°. Remember: central angle = percentage × 3.6°, and the angle for any group of sectors is found by adding their percentages first.
Why each option is right or wrong
- (a) 54° is 15%, which is half of the 30%.
- (b) 96° is about 26.7%, which matches no part of the chart.
- (c) Right: 30% of 360° is 108°.
- (d) 120° is one third, 33.3%, not 30%.
Answer: UPSC’s key. Explanation: written by UPSC Grade, not by UPSC.
Source: UPSC, Civil Services (Preliminary) Examination 2021, General Studies Paper II (CSAT), Series A. The paper on upsc.gov.in.