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A bag contains pieces worth 3,5 and 11 points,respectievly.

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Senior Manager
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A bag contains pieces worth 3,5 and 11 points,respectievly. [#permalink]

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New post 26 Apr 2017, 02:32
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

84% (02:05) correct 16% (01:59) wrong based on 75 sessions

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A bag contains pieces worth 3,5 and 11 points,respectievly. During a turn, a player selects upto 10 pieces at random from the bag.The player's score for the turn is found by taking the product of the point values of each selected piece.If Jake's score for aturn is 12375,how many total pieces did he select?

A)2
B)3
C)4
D)5
E)6

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Joined: 26 Mar 2017
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Re: A bag contains pieces worth 3,5 and 11 points,respectievly. [#permalink]

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New post 26 Apr 2017, 03:20
E ) 6
2 - worth 3
3 - worth 5
1 - worth 11


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Re: A bag contains pieces worth 3,5 and 11 points,respectievly. [#permalink]

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New post 26 Apr 2017, 05:01
Split 12375 into factors.
this gives 3^2 * 5^3 * 11 = 12375

that means he has selected two 3 point cards, three 5 point cards, and one 11 point card.
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Re: A bag contains pieces worth 3,5 and 11 points,respectievly. [#permalink]

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New post 26 Apr 2017, 05:41
take out the factors of 12375
that will be 3*3*5*5*5*11
hence, answer is E
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Re: A bag contains pieces worth 3,5 and 11 points,respectievly. [#permalink]

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New post 29 Apr 2017, 08:51
VyshakhR1995 wrote:
A bag contains pieces worth 3,5 and 11 points,respectievly. During a turn, a player selects upto 10 pieces at random from the bag.The player's score for the turn is found by taking the product of the point values of each selected piece.If Jake's score for aturn is 12375,how many total pieces did he select?

A)2
B)3
C)4
D)5
E)6


We are given that a bag contains pieces worth 3, 5, and 11 points, respectively, and that Jake scores 12375. We need to determine how many pieces he selected. Let’s break 12,375 into primes.

12,375 = 25 x 495 = 25 x 5 x 99 = 5^2 x 5^1 x 3^2 x 11^1 = 3^2 x 5^3 x 11^1

Thus, Jake pulled 2 threes, 3 fives, and 1 eleven for a total of 6 pieces.

Answer: E
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Re: A bag contains pieces worth 3,5 and 11 points,respectievly. [#permalink]

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New post 07 May 2017, 11:23
VyshakhR1995 wrote:
A bag contains pieces worth 3,5 and 11 points,respectievly. During a turn, a player selects upto 10 pieces at random from the bag.The player's score for the turn is found by taking the product of the point values of each selected piece.If Jake's score for aturn is 12375,how many total pieces did he select?

A)2
B)3
C)4
D)5
E)6


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Hope it helps.
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Re: A bag contains pieces worth 3,5 and 11 points,respectievly.   [#permalink] 07 May 2017, 11:23
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