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# In a certain game, a large container is filled with red,

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Senior Manager
Joined: 23 Aug 2003
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In a certain game, a large container is filled with red, [#permalink]  30 Jan 2004, 17:29
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* In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?

(A) 5
(B) 4
(C) 3
(D) 2
(E) 0
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"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

Manager
Joined: 25 Jan 2004
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Kudos [?]: 2 [0], given: 0

147000 = 2^3 5^3 7^2 3^1

Manager
Joined: 26 Dec 2003
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I didnt get u, I am weak in P&C. Please can u explain in detail.
Senior Manager
Joined: 23 Aug 2003
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A'int u missing something..Zhung Gazi..

9 is not one among the options.

Vivek.
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"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

Manager
Joined: 25 Jan 2004
Posts: 92
Location: China
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Kudos [?]: 2 [0], given: 0

I calculated total. But #red = 2
Manager
Joined: 26 Dec 2003
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Vivek, can u please tell me the official explanation and help me out
Senior Manager
Joined: 23 Aug 2003
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Don't have the official explanation...but i gauge this from Zhung Gazi's explanation:

Factorize 147000 = 2^3 * 5^3 * 7^2 * 3^1

right Zhung Gazi ?
_________________

"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

Manager
Joined: 25 Jan 2004
Posts: 92
Location: China
Followers: 1

Kudos [?]: 2 [0], given: 0

That's correct. Thanks to unique factorization of a number.
Manager
Joined: 26 Dec 2003
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SVP
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SVP
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I also got total 9 and 2 sevens (red)...Final Answer.
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