48. In order to determine the length of the line, we need to know how many people are standing in it. Thus, rephrase the question as follows: How many people are standing in the line?
Statement (1) says that there are three people in front of Chandra and three people behind Ken. Consider the following different scenarios: The line might look like this:
(Back) X X X Ken X Chandra X X X (Front)
OR The line might looks like this: (Back) Chandra X X Ken (Front)
The number of people in the line depends on several factors, including whether Chandra is in front of Ken and how many people are standing between Chandra and Ken. Since there are many different scenarios, statement (1) is not sufficient to answer the question.
Statement (2) says that two people are standing between Chandra and Ken. Here, we don't know how many people are ahead or behind Ken and Chandra. Since there are many different scenarios, statement (2) is not sufficient to answer the question.
Taking both statements together, we still don't know whether Chandra is in front of Ken or vice versa, and therefore we still have two different possibilities:
The line might look like this: (Back) X X X Ken X X Chandra X X X (Front)
OR The line might look like this: (Back) Chandra X X Ken (Front)
Therefore, the correct answer is (E): Statements (1) and (2) TOGETHER are NOT sufficient.
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Anaira Mitch