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24 Nov 2012, 08:56
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A
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a and b are integers such that ab ≠ 0. Is |a|/|b| = a/b?
(1) |ab| = ab
(2) |a|/|b| = |a/b|
(1) |ab| = ab
(2) |a|/|b| = |a/b|
24 Nov 2012, 09:21
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First, let's figure out what the question is really asking. The left side of the equation is always positive, so the answer to the question is "yes" if both variables are positive or if both variables are negative. The answer is "no" if the two variables have different signs.
So the restated question is: "do a and b have the same sign?"
Statement 1: again, the left side of the equation is always positive, and this statement is true whenever the variables a & b have the same sign. It answers the question perfectly. -- sufficient
Statement 2: this statement is always true for nonzero values of ab. We could have any combination of positives and negatives, and this equation would still be true. So a & b could both be positive, they could both be negative, or we could have one positive and one negative. -- not sufficient
The answer is A.
So the restated question is: "do a and b have the same sign?"
Statement 1: again, the left side of the equation is always positive, and this statement is true whenever the variables a & b have the same sign. It answers the question perfectly. -- sufficient
Statement 2: this statement is always true for nonzero values of ab. We could have any combination of positives and negatives, and this equation would still be true. So a & b could both be positive, they could both be negative, or we could have one positive and one negative. -- not sufficient
The answer is A.
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14 Aug 2017, 00:44
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is the left side of the equation always positive or always non-negative?
