Scott Woodbury-Stewart

GMAT OFFICIAL GUIDE DS – Did the sum of the prices of three shirts…

Did the sum of the prices of three shirts…

Solution:

We must determine whether the price of 3 shirts exceeded $60.

Statement One Alone: 

The price of the most expensive of the shirts exceeded $30.

Without knowing the price of at least one of the other two shirts, we do not have enough information to answer the question. For example, the most expensive shirt could have been $31 and each of the other two shirts could have been $5, for a total cost of less than $60.  Alternately, the most expensive shirt could have been $55 and each of the other two shirts could have been $5, for a total cost of greater than $60. We can eliminate answer choices A and D.

Statement Two Alone: 

The price of the least expensive of the shirts exceeded $20.

Although the information in statement two appears not to be sufficient, we have enough information to determine that the price of the three shirts did indeed exceed $60. We know that the price of the least expensive shirt was greater than $20, and thus we know that the price of each of the other two shirts had to be greater than $20 as well. Thus, no matter what the prices of those three shirts are, the information in statement two ensures that the sum of the three shirts’ prices was greater than $60. Statement two is sufficient to answer the question.

Answer: B 

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