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In a certain game, a large bag is filled with blue, green

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Re: In a certain game, a large bag is filled with blue, green [#permalink]

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New post 05 Jan 2018, 11:48
Bunuel,

I have noticed that you often very kindly post links for many practice questions that belong to the same "micro-concepts" such as in this thread. Is there any way we could get our hands on the questions that are classified according to micro-concepts, I feel like practising all the "number properties" questions, I still encounter various multiple concepts that I should deal with individually.

Furthermore, is there any other way I can deal with this problem?

Thank you.

Best regards.
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Re: In a certain game, a large bag is filled with blue, green [#permalink]

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krikre wrote:
Bunuel,

I have noticed that you often very kindly post links for many practice questions that belong to the same "micro-concepts" such as in this thread. Is there any way we could get our hands on the questions that are classified according to micro-concepts, I feel like practising all the "number properties" questions, I still encounter various multiple concepts that I should deal with individually.

Furthermore, is there any other way I can deal with this problem?

Thank you.

Best regards.


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Re: In a certain game, a large bag is filled with blue, green [#permalink]

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New post 19 Apr 2018, 16:10
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enigma123 wrote:
In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?

A. 1
B. 2
C. 3
D. 4
E. 5


This question begs for some prime factorization.

88,000 = (2)(2)(2)(2)(2)(2)(5)(5)(5)(11)

First, we can see that there must be one (11-point) red chip.
Now, what role do these 2's play? Since there are no 2's hiding among the 5-point chips or the 11-point chips, the 2's must be associated with the x-point chips.
Since we know that each purple chip is worth 6,7,8,9 or 10 points, we know that x must equal 6, 8 or 10.

x cannot equal 6, because we don't have any 3's in the prime factorization.
If x were to equal 10, we'd need six 5's to go with our six 2's. Since we don't have six 5's in the prime factorization of 88,000, we can rule out the possibility that x equals 10.

By the process of elimination, x MUST equal 8.
Since 8 = (2)(2)(2), we can see that the six 2's can be used to create two products of 8.

Answer: B

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Brent
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Re: In a certain game, a large bag is filled with blue, green [#permalink]

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New post 15 May 2018, 19:45
Why can't we assume purples value as 10? i.e 2*5 then the answer comes up to 3 and not 2
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Re: In a certain game, a large bag is filled with blue, green [#permalink]

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New post 15 May 2018, 21:20
sanjanam25 wrote:
Why can't we assume purples value as 10? i.e 2*5 then the answer comes up to 3 and not 2



\(88,000=2^6*5^3*11=2^3*(2^3*5^3)*11=2^3*(10^3)*11\)

In this case we cannot accommodate 2^3. Notice that blue, green, and red chips' values are not multiples of 2. So, 2^6 in 88,000 must be the product of the values of the purple chips drawn.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: In a certain game, a large bag is filled with blue, green   [#permalink] 15 May 2018, 21:20

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