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The following pie diagram represents the number of valid votes obtained by four students; who contested for school captain. The total of valid votes polled was 720.[Pie diagram: Ram 100°, Raj 80°, Shubha 120°, Radha 60°]Answer the following questions…

Q.5 (ii) The following pie diagram represents the number of valid votes obtained by four students; who contested for school captain. The total of valid votes polled was 720.

[Pie diagram: Ram 100°, Raj 80°, Shubha 120°, Radha 60°]

Answer the following questions :
(a) Who has won the election ?
(b) What is the minimum number of votes ? Who got it ?
(c) By how many votes did the winner defeat the nearest contestant ?

1 answer

Best answer

Answer: (a) Shubha (b) 120 votes, Radha (c) 40 votes

Number of votes \(= \dfrac{\text{central angle}}{360^\circ} \times 720 = \text{angle} \times 2\).

StudentAngleVotes
Ram100°200
Raj80°160
Shubha120°240
Radha60°120

(a) Shubha got the highest number of votes (240), so Shubha won the election.

(b) The minimum number of votes is 120, obtained by Radha (60°).

(c) The nearest contestant is Ram with 200 votes, so the winner defeated him by 240 – 200 = 40 votes.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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