Directions: Study the following graph carefully & answer the questions given below it.
The pie chart, given here represents the number of valid votes obtained by four students who contested election for school leadership. The total number of valid votes polled was 720.

What was the minimum number of votes obtained by any candidates?
» Explain it
Total votes polled = 720

Minimum degree value = 60° (of Paramjeet)

∴  Votes obtained by Paramjeet

60°  × 720 = 120.

Hence, option C is correct.

» Explain it
We can clearly see from the chart that it's Vishwanath who is the winner.

Hence, option D is correct.

By how many votes did the winner defeat his nearest rival?
» Explain it
Vishwanath defeated Sivaraman by

=   120° – 100°  × 720 

=   20°  × 720 = 40.

Hence, option A is correct.

What is the ratio between the minimum votes gainer and  the maximum vote gainer?
» Explain it
Minimum votes were obtained by Paramjeet i.e. 60°

Maximum votes were obtained by Vishwanath i.e. 120°

Ratio =  60°  =  1 .
120° 2

Hence, option B is correct.

No. of votes by which Yasin is lagging behind of Vishwanath.
» Explain it
The no. of votes Yasin lagging behind by Vishwanath

(120° – 80°)  × 720 

40°  × 720 = 80.

Hence, option C is correct.

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