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CAT 2022 Slot 2 Paper

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Question : 56 of 66

Marks: +1, -0

In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received30% of the casted votes while the other three candidates received the remaining casted votes in the proportion

1 : 2 : 3

If thewinner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registeredvoters was

50240
40192
60288
62800

Solution:

Let the number of registered votes be

100 x

The number of votes casted

=80x

Votes received by one of the candidates

=\frac{30}{100} \times 80x=24x

Remaining votes

=80x-24x=56x

Votes received by other three candidates is

\frac{56x}{6}, \frac{2 \times 56x}{6}, \frac{3 \times 56x}{6}

It is given,

28x-24x=2512

4x=2512

x=628

The number of registered votes

=100x=62800

The answer is option D.

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