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

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Senior Manager
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A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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New post 03 Aug 2014, 11:36
1
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A
B
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E

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  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
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Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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New post 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
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Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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New post 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.

B is the answer.
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Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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New post 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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Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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New post 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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Re: A beekeeper has 200,000 bees living in six beehives. Among  [#permalink]

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New post 22 Jul 2019, 09:51
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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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