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In a city, only two leaders X and Y contested. The number of valid

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In a city, only two leaders X and Y contested. The number of valid  [#permalink]

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New post 20 Jan 2017, 09:24
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Question Stats:

28% (01:48) correct 72% (01:38) wrong based on 101 sessions

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In a city, only two leaders X and Y contested. The number of valid votes is 300. Who won the election?

a) Among the voters, whose votes are valid. 79% of the male voters and 43 % of the female voters voted in favour of X

b) The ratio of male to female in the city is 2:1


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Re: In a city, only two leaders X and Y contested. The number of valid  [#permalink]

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New post 20 Jan 2017, 10:13
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Note: The number of male voters or female voters cannot be a fraction.

St1: Among the voters, whose votes are valid. 79% of the male voters and 43 % of the female voters voted in favour of X. There can be either
200 male and 100 female --> In favor of X = 158 + 43 = 201
or
100 male and 200 female --> In favor of X = 79 + 86 = 165
In either of the cases, X wins.
Sufficient.

St2: The ratio of male to female in the city is 2:1 --> Clearly insufficient as we do not know who voted for whom.

Answer: A
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Re: In a city, only two leaders X and Y contested. The number of valid  [#permalink]

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New post 20 Jan 2017, 20:33
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Statement 1:let's say total male voters are a

total votes for X= 79*a/100 +43(300-a)/100
As 79 is a prime number, so a must be divisible to 100(a can be 100 or 200)
In either case --when a will be 100 or 200
number of votes for X will be more than 150.

So, statement 1 is sufficient to say that X won the election

statement 2: ratio of male to female does not tell who (x or Y) got more votes. Not sufficient

Correct answer is A

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In a city, only two leaders X and Y contested. The number of valid  [#permalink]

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New post 20 Sep 2018, 09:46
RMD007 wrote:
In a city, only two leaders X and Y contested. The number of valid votes is 300. Who won the election?

a) Among the voters, whose votes are valid. 79% of the male voters and 43 % of the female voters voted in favour of X

b) The ratio of male to female in the city is 2:1


press kudos, if you like the question, appreciate the effort or encourage people to post the good question :)


I think the important thing to note here is that 79 % = a positive integer and the minimum value for it =79 , which makes total valid male votes = 100
and females = 200
minimum number of votes X will get = 79 + 86 = 165 out of 300
so A is sufficient
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In a city, only two leaders X and Y contested. The number of valid &nbs [#permalink] 20 Sep 2018, 09:46
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In a city, only two leaders X and Y contested. The number of valid

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