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16 Sep 2014, 01:49
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
58% (01:11) correct
42%
(01:16)
wrong
based on 36
sessions
History
Date
Time
Result
Not Attempted Yet
16 Sep 2014, 01:49
Kudos
Bookmarks
Official Solution:
We must determine whether \(abc = 2\).
Statement 1 says that \(ab = 2\). Since this gives us no information about \(c\), there is no way to determine whether \(abc = 2\). If \(c = 1\), then \(abc = 2\); if \(c = 2\), then \(abc = 4\). Statement 1 is NOT sufficient to answer the question. Eliminate answer choices A and D. The correct answer choice must be B, C, or E.
Statement 2 says that \(bc = 2\). In this case, we are given no information about \(a\), and so there is no way to determine whether \(abc = 2\). If \(a = 1\), then \(abc = 2\); if \(a = 2\), then \(abc = 4\). Statement 2 is NOT sufficient to answer the question. Eliminate answer choice B. The correct answer choice must be either C or E.
Taking the statements together, we know that \(ab = 2\) and \(bc = 2\). Note that if \(a = 1\), \(b = 2\), and \(c = 1\), then both statements are satisfied and \(abc = 2\). However, if \(a = 4\), \(b = 0.5\) and \(c = 4\), then both statements are still satisfied, only now \(abc = 8\). Together, the statements are NOT sufficient.
Answer: E
We must determine whether \(abc = 2\).
Statement 1 says that \(ab = 2\). Since this gives us no information about \(c\), there is no way to determine whether \(abc = 2\). If \(c = 1\), then \(abc = 2\); if \(c = 2\), then \(abc = 4\). Statement 1 is NOT sufficient to answer the question. Eliminate answer choices A and D. The correct answer choice must be B, C, or E.
Statement 2 says that \(bc = 2\). In this case, we are given no information about \(a\), and so there is no way to determine whether \(abc = 2\). If \(a = 1\), then \(abc = 2\); if \(a = 2\), then \(abc = 4\). Statement 2 is NOT sufficient to answer the question. Eliminate answer choice B. The correct answer choice must be either C or E.
Taking the statements together, we know that \(ab = 2\) and \(bc = 2\). Note that if \(a = 1\), \(b = 2\), and \(c = 1\), then both statements are satisfied and \(abc = 2\). However, if \(a = 4\), \(b = 0.5\) and \(c = 4\), then both statements are still satisfied, only now \(abc = 8\). Together, the statements are NOT sufficient.
Answer: E
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