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Exactly 36% of the numbers in set S are even multiples of 3. [#permalink]

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05 Feb 2012, 17:20

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Exactly 36% of the numbers in set S are even multiples of 3. If 40% of the even integers in set S are not multiples of 3, what percent of the numbers in set S are not even integers?

36% of numbers in set S = 60% of even numbers in set S => 100% of even numbers in set S = (36/60)*100 = 60% of numbers in set S => Percentage of numbers in set S that are not even = 100% - 60% = 40%

So there's three kinds of numbers: Even Multiples of 3 = x Even Non-Multiples of 3 = y Non-Even Numbers = z Together they make up all the numbers, so x + y + z = 1

We are solving for z.

What we know: 36% of the numbers in set S are even multiples of 3, so x = .36. 40% of the even integers in set S are not multiples of 3, so (Even Non Multiples of 3) = 40% of all Even Numbers, in other words: y = 40%*(y+x), so y = .24

So solving for z, we have: 100 = .36 + .24 + z z = .40 = 40%

Re: Exactly 36% of the numbers in set S are even multiples of 3. [#permalink]

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03 Mar 2013, 23:36

rxs0005 wrote:

Exactly 36% of the numbers in set S are even multiples of 3. If 40% of the even integers in set S are not multiples of 3, what percent of the numbers in set S are not even integers?

(A) 76% (B) 60% (C) 50% (D) 40% (E) 24%

Use Double Matrix

----------even---/-----odd------ ---3---- / 36 ---not3-/ .4X Total---/ X / ?

Re: Exactly 36% of the numbers in set S are even multiples of 3. [#permalink]

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03 Mar 2013, 23:36

rxs0005 wrote:

Exactly 36% of the numbers in set S are even multiples of 3. If 40% of the even integers in set S are not multiples of 3, what percent of the numbers in set S are not even integers?

(A) 76% (B) 60% (C) 50% (D) 40% (E) 24%

Use Double Matrix

----------even---/-----odd------ ---3---- / 36 ---not3-/ .4X Total---/ X / ?

Re: Exactly 36% of the numbers in set S are even multiples of 3. [#permalink]

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25 Jul 2013, 22:14

Given 40% even numbers are not multiples of 3 and 36%of total set is even multiples of 3 i.e, 60% even numbers are multiple of 3 Let x be even numbers among set of 100 0.6*x=36 x=60 Not x =40

Re: Exactly 36% of the numbers in set S are even multiples of 3. [#permalink]

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20 Aug 2014, 05:57

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Re: Exactly 36% of the numbers in set S are even multiples of 3. [#permalink]

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21 Apr 2016, 10:31

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Exactly 36% of the numbers in set S are even multiples of 3. [#permalink]

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21 Apr 2016, 12:45

let S=all numbers in set S E=all even integers in set S .36S=1-.40E=.60E E/S=3/5=.60S=60% of numbers in set S that are even integers 1-.60S=.40S=40% of numbers in set S that are not even integers

Re: Exactly 36% of the numbers in set S are even multiples of 3. [#permalink]

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14 Aug 2017, 10:55

Let the number of numbers in set be 600 (An easy looking multiple of 36 and 40) As per question we can use venn diagram to solve this question easily. For the same download the PDF and check.