dpchen
Chris was in an electronic appliances store to buy an LED computer monitor. Chris’s purchase criteria included screen size, which must be at least 32 inches, and price—which must not exceed $400. A friend made two recommendations: Monitor A and Monitor B. Chris liked both monitors. Did Chris more likely buy Monitor A, Monitor B, or neither?
(1) Monitor A’s screen size was more than 32 inches—and it cost less than Monitor B.
(2) Monitor B cost $390 and its screen size was less than that of Monitor A.
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PS. This question is from the official online practice questions. It seems non-math DS questions have begun to appear just recently.
Chris has two necessary purchase criteria -
- screen size \(\geq\) 32 inches
- price \(\leq\) $400
Statement 1(1) Monitor A’s screen size was more than 32 inches—and it cost less than Monitor B.We have no idea about the cost of each monitor. While we know that Monitor A meets the criteria set for the screen size, we don't know if it meets the price criteria. For Monitor B, we don't have any information. Hence, Chris could have purchased Monitor A, provided it meets the price criteria and Monitor B fails at least one criterion. Alternatively, if both monitors fail at least one criterion, Chris could have bought neither of them.
Hence, this statement alone is not sufficient to conclude which monitor Chris purchased. We can eliminate A and D.
Statement 2(2) Monitor B cost $390 and its screen size was less than that of Monitor A.Similar to Statement 1, we don't have information on the size of either Monitor A or Monitor B. Hence, the statement alone is not sufficient and we can eliminate B.
Combined From Statement 1 & Statement 2
- Monitor A satisfies the screen size criteria and the price criteria.
- Monitor B may satisfy the screen size criteria and satisfies price criteria.
As we do not have complete information on Monitor B, we cannot conclude anything. Also, the question premise doesn't mention the preference order if both monitors satisfy the criteria outlined in the question.
Hence, the statements combined do not help either.
Option E