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11 Oct 2021, 08:22
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11 Oct 2021, 08:22
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Official Solution:
Is \(A + B + C = 0\)?
(1) \(A = -B\)
The question becomes: is \((-B) + B + C = 0\)?, and then is \(C = 0\)? We don't know the answer to this question. Not sufficient.
(2) \(B = C\)
The question becomes: is \(A + C + C = 0\)?, and then is \(A + 2C = 0\)? We don't know the answer to this question. Not sufficient.
(1)+(2) We know that \(B = -A = C\), so the question becomes: is \((-B) + B + B = 0\)? and then is \(B = 0\)? We don't know the answer to this question. For example, if \(B = -A = C=0\), then \(A + B + C = 0\) but if \(B = -A = C=1\), then \(A + B + C = 1\). Not sufficient.
Answer: E
Is \(A + B + C = 0\)?
(1) \(A = -B\)
The question becomes: is \((-B) + B + C = 0\)?, and then is \(C = 0\)? We don't know the answer to this question. Not sufficient.
(2) \(B = C\)
The question becomes: is \(A + C + C = 0\)?, and then is \(A + 2C = 0\)? We don't know the answer to this question. Not sufficient.
(1)+(2) We know that \(B = -A = C\), so the question becomes: is \((-B) + B + B = 0\)? and then is \(B = 0\)? We don't know the answer to this question. For example, if \(B = -A = C=0\), then \(A + B + C = 0\) but if \(B = -A = C=1\), then \(A + B + C = 1\). Not sufficient.
Answer: E
