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In an election several candidates contested for a constituency. In any constituency, the winning candidate was the one who polled the highest number of votes, the first runner up was the one who polled the second highest number of votes, the second runner up was the one who polled the third highest number of votes, and so on. There were no ties (in terms of number of votes polled by the candidates) in any of the constituencies in this election.
In an electoral system, a security deposit is the sum of money that a candidate is required to pay to the election commission before he or she is permitted to contest. Only the defeated candidates (i.e., one who is not the winning candidate) who fail to secure more than one sixth of the valid votes polled in the constituency, lose their security deposits.
The following table provides some incomplete information about votes polled in four constituencies: A, B, C and D, in this election.
|No. of candidates contesting||10||12||5||8|
|Total No. of valid votes polled||5,00,000||3,25,000||6,00,030|
|No. of votes polled by the winning candidate||2,75,000||48,750|
|No. of votes polled by the first runner up||95,000||37,500|
|No. of votes polled by the second runner up||30,000|
|% of valid votes polled by the third runner up||10%|
Question 16 : What was the number of valid votes polled in constituency D?
This is how the table looks for D as of now:
Check using the options. Clearly it cannot be 62,500 (Option C) because the total of 2, 3 adds up to a number greater than that
The table looks like the following:
In this option, clearly the top 3 each have more than 16.67% and the rest have 35%. This option satisfies the constraints and hence is the correct answer.
The question is "What was the number of valid votes polled in constituency D?"
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