This is a Value question, so we need to be able to solve for a single percent of the agents at insurance company X who sell insurance for cars but not for boats.
Evaluate the Statements:
Statement (1): We are told that 90% percent of the agents sell insurance for cars, and 55% of the agents do not sell insurance for boats. We do not know how many of the 55% who do not sell boats also do not sell cars, so Statement (1) is Insufficient.
Statement (1) is Insufficient to answer the question with a single value. Eliminate choices (A) and (D).
Statement (2): We are told that the number of agents who sell insurance for boats is half the number of agents who sell insurance for cars. We are not given information about the number of agents who do not sell boat insurance. Therefore, we do not have sufficient information to answer the question with a single value.
Statement (2) is Insufficient to answer the question with a single percent. We can eliminate choice (B).
Combined: Statement (2) tells us that the number of agents who sell insurance for boats is half the number of those who sell insurance for cars. But Statement (1) gave us the same information. We saw in Statement (1) that 45% of agents sold insurance for boats and 90% for cars. Statement (2) adds no new information to Statement (1). Therefore, we cannot learn anything new by combining the statements; we still cannot determine a single value for the percentage of agents who sell insurance for cars but not for boats.
The two statements combined are Insufficient to answer the question with a single percent. We can eliminate choice (C).
The correct answer is Choice (E).
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