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# A beekeeper has 200,000 bees living in six beehives. Among

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Senior Manager
Joined: 21 Oct 2013
Posts: 411
A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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03 Aug 2014, 11:36
1
3
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Difficulty:

55% (hard)

Question Stats:

63% (02:14) correct 37% (02:41) wrong based on 83 sessions

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A beekeeper has 200,000 bees living in six beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?

A) 32,000
B) 40,000
C) 45,000
D) 48,000
E) 50,000
Intern
Joined: 19 Oct 2013
Posts: 8
GMAT Date: 09-17-2014
GPA: 2.93
WE: Information Technology (Computer Software)
Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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03 Aug 2014, 12:53
consider 32 as max..but 32 + (5*32*0.8) nt equal to 200.

let us try with 40 Now 40+5*32 = 200, so Ans is B.

Hope it helps
Intern
Joined: 22 Feb 2014
Posts: 29
Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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03 Aug 2014, 13:13
1
x be the # of bees in the hive with the max # of bees. Let other hives have same # of bees. So, x+5*(0.8)*x = 200,000 => 5x = 200,000 => x = 40,000.

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Joined: 02 Sep 2009
Posts: 58434
Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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12 Aug 2014, 09:29
goodyear2013 wrote:
A beekeeper has 200,000 bees living in six beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?

A) 32,000
B) 40,000
C) 45,000
D) 48,000
E) 50,000

Similar question to practice: a-certain-city-with-population-of-132-000-is-to-be-divided-76217.html
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Joined: 10 Feb 2014
Posts: 3
Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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12 Dec 2014, 09:08
goodyear2013 wrote:
A beekeeper has 200,000 bees living in six beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?

A) 32,000
B) 40,000
C) 45,000
D) 48,000
E) 50,000

Let anyone be max possible therefore, rest have to be min possible which is 80% of the max
OR x + 5(0.8x) = 200,000

Either solve this or use options to check what fits
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Joined: 09 Sep 2013
Posts: 13317
Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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22 Jul 2019, 09:51
Hello from the GMAT Club BumpBot!

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Re: A beekeeper has 200,000 bees living in six beehives. Among   [#permalink] 22 Jul 2019, 09:51
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