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How much is the total price of the 3 products?

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Math Revolution GMAT Instructor
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How much is the total price of the 3 products?  [#permalink]

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New post 22 Mar 2017, 02:50
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:00) correct 33% (01:05) wrong based on 36 sessions

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How much is the total price of the 3 products?

1) The sum of any two prices of these 3 products is $8,000
2) At least one of them is 4,000

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Re: How much is the total price of the 3 products?  [#permalink]

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New post 22 Mar 2017, 07:24
MathRevolution wrote:
How much is the total price of the 3 products?

1) The sum of any two prices of these 3 products is $8,000
2) At least one of them is 4,000


1) The sum of any two prices of these 3 products is $8,000 - Each of the products have to be $4000. - Sufficient.
2) At least one of them is 4,000 - Not sufficient.

Hence A.

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Re: How much is the total price of the 3 products?  [#permalink]

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New post 24 Mar 2017, 03:53
==> In the original condition, there are 3 variables, and in order to match the number of variables to the number of equations, there must be 3 equations. Since there is 1 for con 1) and 1 for con 2), E is most likely to be the answer. By solving con 1) and con 2), the price of each 3 products becomes $4,000, hence it is unique and sufficient. This is an inequality question, one of the key questions, so you apply CMT 4 (A: if you get C too easily, consider A or B). For con 1), the price of each 3 products always becomes $4,000, hence it is unique and sufficient. For con 2), it is unknown, hence it is not sufficient.

Therefore, the answer is A.
Answer: A
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Re: How much is the total price of the 3 products?   [#permalink] 24 Mar 2017, 03:53
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