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# At SHK University, 5/8 of the male students participate in varsity spo

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Math Expert
Joined: 02 Sep 2009
Posts: 50627
At SHK University, 5/8 of the male students participate in varsity spo  [#permalink]

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10 Dec 2016, 05:09
00:00

Difficulty:

35% (medium)

Question Stats:

76% (01:39) correct 24% (01:57) wrong based on 140 sessions

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At SHK University, 5/8 of the male students participate in varsity sports and 1/3 of the male students that participate in varsity sports participate in baseball. If there are 5 more female students than male students at SHK University, what is the minimum possible number of female students at SHK University?

A. 65
B. 58
C. 53
D 48
E. 29

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Joined: 18 Sep 2015
Posts: 22
Re: At SHK University, 5/8 of the male students participate in varsity spo  [#permalink]

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10 Dec 2016, 10:44
only (29 - 5) and (53 - 5) can be divided evenly by 5/8 and then by 1/3. Since we need the minimum possible value, 29 appears to be the right answer. Ans. E
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Re: At SHK University, 5/8 of the male students participate in varsity spo  [#permalink]

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10 Dec 2016, 11:12
Bunuel wrote:
At SHK University, 5/8 of the male students participate in varsity sports and 1/3 of the male students that participate in varsity sports participate in baseball. If there are 5 more female students than male students at SHK University, what is the minimum possible number of female students at SHK University?

A. 65
B. 58
C. 53
D 48
E. 29

Let there be 24 male students in the varsity..

Male students who participated in sports = 15
Male students who participated in baseball = 5

Quote:
There are 5 more female students than male students at SHK University

So, Total Female students = Total Male students + 5

Or, Total Female students = 24 + 5

Hence, the minimum possible number of female students at SHK University is (E) 29

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Joined: 08 Oct 2016
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Location: United States
Concentration: General Management, Finance
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Re: At SHK University, 5/8 of the male students participate in varsity spo  [#permalink]

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21 Apr 2017, 09:17
1
Abhishek009 wrote:
Bunuel wrote:
At SHK University, 5/8 of the male students participate in varsity sports and 1/3 of the male students that participate in varsity sports participate in baseball. If there are 5 more female students than male students at SHK University, what is the minimum possible number of female students at SHK University?

A. 65
B. 58
C. 53
D 48
E. 29

Let there be 24 male students in the varsity..

Male students who participated in sports = 15
Male students who participated in baseball = 5

Quote:
There are 5 more female students than male students at SHK University

So, Total Female students = Total Male students + 5

Or, Total Female students = 24 + 5

Hence, the minimum possible number of female students at SHK University is (E) 29

why you take 24 reason??
Abhishek009
TIA
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At SHK University, 5/8 of the male students participate in varsity spo  [#permalink]

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06 May 2017, 22:58
5/8 is the total number of Male students participating in sports even.

Since, the denominator is even the number of male students should be even. If we subtract 5 from each option we get Option A (65-5), C (29 - 5) and E (53 - 5) as even number.

Only option C and E give whole number when divided by $$\frac{5}{8}$$ and then by $$\frac{1}{3}$$.

minimum possible number of female students at SHK University = 29.

I chose this option because $$\frac{1}{3}$$ * ($$\frac{5}{8}$$ * 24) = 5.
[Note: The number of players in a Volleyball team = 6].

Ans: option E
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GMAT 1: 560 Q39 V28
At SHK University, 5/8 of the male students participate in varsity spo  [#permalink]

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25 Sep 2018, 00:43
1
Since we are dealing with an indirect integer constraint: "number of persons". The number of males must be a multiple of 8 and 3.

Easiest and fastest way is to find the Least Common Multiple of 8 and 3. Which is 24.

Therefore the least possible number of females is: 24+5=29
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At SHK University, 5/8 of the male students participate in varsity spo &nbs [#permalink] 25 Sep 2018, 00:43
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