This set is from CAT 2020 DILR Slot 1, is about the Electoral system, votes pooled and security deposits. It could be classified as a 'Grids' Question in DILR and is a common occurance in CAT. This particular question is a Data interepretition question that requires you to come up with the most optimum scenario possible with the given data.
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.
Constituency | ||||
A | B | C | D | |
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 15 : What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?
It is mentioned that none in C lost their security deposit and the delta in votes was at least 10,000
The least possible vote share is slightly more than 1/6th, meaning the lowest possible value here is: 600,030 / 6 +1 = 100,005 + 1. If noone lost the security deposit, then the least possible value is 100,006
Assuming a 100,00 vote delta just for the time being we get the following as our possible values
Clearly given the constraints, there isn't too much we can do to flex the numbers here.This is the only possible way to satisfy the constraints. So this must be the answer.
The question is "What BEST can be concluded about the number of votes polled by the winning candidate in constituency C?"
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