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Eating caviar @ contest

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by Night reader » Fri Dec 31, 2010 5:50 pm
In the food contest, eating black grainy caviar, red grainy caviar, and red regular caviar are each worth 5, 8 and 13 points respectively. In a particular selection of eating caviar, the product of the point values for the frequence of eating caviar is 13,000. If the frequence of eating red grainy caviar in this contest equals the one of red regular caviar, how many times the black grainy caviar has been eaten in the contest?

A. 1
B. 2
C. 3
D. 4
E. 5
Last edited by Night reader on Fri Dec 31, 2010 6:32 pm, edited 1 time in total.
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by anshumishra » Fri Dec 31, 2010 6:09 pm
Night reader wrote:In the food contest, eating black grainy caviar, red grainy caviar, and red regular caviar are each worth 5, 8 and 13 points respectively. In a particular selection of eating caviar, the product of the point values for the frequence of eating caviar is 13,000. If the frequence of eating red grainy caviar in this contest equals the one of read regular caviar, how many times the black grainy caviar has been eaten in the contest?

A. 1
B. 2
C. 3
D. 4
E. 5
5^p*8^q*13^r = 13000 = 13*8*5^3
given, q=r (=1, from above)

=> p = 3
Answer is C
Thanks
Anshu

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by Night reader » Fri Dec 31, 2010 6:16 pm
anshumishra wrote:
Night reader wrote:In the food contest, eating black grainy caviar, red grainy caviar, and red regular caviar are each worth 5, 8 and 13 points respectively. In a particular selection of eating caviar, the product of the point values for the frequence of eating caviar is 13,000. If the frequence of eating red grainy caviar in this contest equals the one of read regular caviar, how many times the black grainy caviar has been eaten in the contest?

A. 1
B. 2
C. 3
D. 4
E. 5
5^p*8^q*13^r = 13000 = 13*8*5^3
given, q=r (=1, from above)

=> p = 3
Answer is C
thanks Anshu, your solution and answer are correct; btw it's 700+ difficulty
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by anshumishra » Fri Dec 31, 2010 6:19 pm
Night reader wrote: thanks Anshu, your solution and answer are correct; btw it's 700+ difficulty
Thanks Night reader, Nice question !
Thanks
Anshu

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by ragz » Fri Dec 31, 2010 8:15 pm
anshumishra wrote:
Night reader wrote: thanks Anshu, your solution and answer are correct; btw it's 700+ difficulty
Thanks Night reader, Nice question !
which category does this question belong to?
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by Night reader » Fri Dec 31, 2010 9:06 pm
ragz wrote:
anshumishra wrote:
Night reader wrote: thanks Anshu, your solution and answer are correct; btw it's 700+ difficulty
Thanks Night reader, Nice question !
which category does this question belong to?
integer properties/PS
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