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## Piper bought three shirts. The three shirts cost $210 ##### This topic has expert replies Master | Next Rank: 500 Posts Posts: 421 Joined: Sun Apr 17, 2011 4:27 am Location: India Thanked: 6 times Followed by:2 members GMAT Score:620 ### Piper bought three shirts. The three shirts cost$210

by vinni.k » Sun Feb 03, 2019 8:14 am

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A

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D

E

## Global Stats

Piper bought three shirts. The three shirts cost $210 in total, not including sales tax. What was the cost of the most expensive shirt? (1) One shirt was twice as expensive as exactly one of the other shirts. (2) One shirt cost one-half as much as exactly one of the other shirts. OA is E What do we mean by "one of the other" ? Does it imply "one of the any" ? Can we also say - x + 2x + 2(2x) = 210 ? ### GMAT/MBA Expert GMAT Instructor Posts: 16201 Joined: Mon Dec 08, 2008 6:26 pm Location: Vancouver, BC Thanked: 5254 times Followed by:1268 members GMAT Score:770 by [email protected] » Sun Feb 03, 2019 8:24 am ## Timer 00:00 ## Your Answer A B C D E ## Global Stats vinni.k wrote:Piper bought three shirts. The three shirts cost$210 in total, not including sales tax. What was the cost of the most expensive shirt?

(1) One shirt was twice as expensive as exactly one of the other shirts.
(2) One shirt cost one-half as much as exactly one of the other shirts.
IMPORTANT: Notice that statements 1 and 2 provide the EXACT SAME INFORMATION.
When this occurs, the correct answer is either D or E
Since the information is so sparse, I have a feeling that the correct answer is E. So, I'm going to try to find two possible cases that satisfy both statements, yet yield conflicting answers to the target question.

Target question: What was the cost of the most expensive shirt?

Given: The three shirts cost $210 in total Statements 1 and 2 combined There are several scenarios that satisfy BOTH statements. Here are two: Case a: The prices of the three shirts are$10, $20,$180. In this case, the answer to the target question is the most expensive shirt costs $180 Case b: The prices of the three shirts are$20, $40,$150. In this case, the answer to the target question is the most expensive shirt costs \$150
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT