UPSC Prelims 2021·CSAT·Quantitative Aptitude·Arithmetic

A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body. Given that proteins corresponds to 16% and water corresponds to 70% . If both proteins and the other dry elements corresponds to p% , then what is the central angle of the section representing p on the pie diagram?

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Last updated 23 May 2026, 3:31 pm IST
  1. A54°
  2. B96°
  3. C108°Correct
  4. D120°

Explanation

Here's a brief explanation: 1. Calculate the percentage of "other dry elements": Total percentage = 100% Proteins = 16% Water = 70% Other dry elements = 100% - (16% + 70%) = 100% - 86% = 14%. 2. Calculate p%: p% = Proteins + Other dry elements = 16% + 14% = 30%. 3. Convert p% to a central angle: A full circle represents 360 degrees, which corresponds to 100%. Central angle = (Percentage / 100) * 360 degrees Central angle for p = (30 / 100) * 360 degrees = 0.30 * 360 degrees = 108 degrees. Therefore, the central angle representing p is 108 degrees. The final answer is C) 108 degrees.
Quantitative Aptitude: A pie diagram shows the percentage distribution of proteins, water and other dry elements in the human body. Given that

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