Question:easy

Directions: The following pie diagram shows the marks obtained by Raju in his tenth class examinations, with a total of 554 marks. The values mentioned on the pie diagram are the central angles, in degrees, corresponding to each subject.

The subjects and their corresponding central angles, as read from the chart, are: 1st Language = 90°, Hindi = 60°, English = 63°, Mathematics = 72°, Science = 75°, Social = 80°.

The subject in which he scored \(16\frac{2}{3}\%\) of the marks is:

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Convert 16 2/3% into a simple fraction of 360 degrees, then match that angle to the chart's labelled slices.

Updated On: Jul 20, 2026
  • Science
  • Social
  • Mathematics
  • English
  • Hindi
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The Correct Option is

Solution and Explanation

Work subject by subject using $\text{marks} = \frac{\text{degree}}{360}\times 554$, and then turn each into a percentage of 554, until one matches $16\frac{2}{3}\%$.

1st Language ($90^\circ$): $\frac{90}{360}\times 554 = 138.5$, which is $\frac{90}{360}\times100 = 25\%$.

Social ($80^\circ$): $\frac{80}{360}\times100 \approx 22.2\%$.

Science ($75^\circ$): $\frac{75}{360}\times100\approx20.8\%$.

Mathematics ($72^\circ$): $\frac{72}{360}\times100=20\%$.

English ($63^\circ$): $\frac{63}{360}\times100=17.5\%$.

Hindi ($60^\circ$): $\frac{60}{360}\times100 = \frac{1}{6}\times100 = 16\frac{2}{3}\%$.

Only Hindi's angle converts exactly to $16\frac{2}{3}\%$, so that is the subject asked about. Answer: Hindi, option (e).

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