CAT 2017 Quantitative Ability

Question : 6 of 34

Marks: +1, -0

In a village three people contested for the post of village Pradhan. Due to their own interest, all the voters voted and no one vote was invalid. The losing candidate got 30% votes. What could be the minimum absolute margin of votes by which the winning candidate led by the nearest rival, if each candidate got an integral per cent of votes?

4
2
1
None of these

Validate

Solution:

Losing candidate = 0.3 x
∴ Other two candidates = 0.7 x
The share of winning candidates = 0.36 x
and the second ranker = 0.34 x
∴ Margin (min possible) = 0.02 x
⇒ 2% of x
Let the minimum possible voters be 50 then

\;\;{2×50}/{100}=1

Hence, the minimum possible margin of votes = 1

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