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B
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:
56% (01:16) correct
44%
(01:21)
wrong
based on 202
sessions
History
Date
Time
Result
Not Attempted Yet
If \(a^5b^3c^6 < 0\), is abc < 0?
(1) b < 0
(2) c > 0
Any alternative solutions?
(1) b < 0
(2) c > 0
Any alternative solutions?
08 Jul 2013, 00:47
Kudos
Bookmarks
If \(a^5b^3c^6 < 0\), is abc < 0?
\(a^5b^3c^6 < 0\) --> reduce by \(a^4b^2c^6\) (notice that this expression is positive): \(ab< 0\). Since, \(ab< 0\), then \(abc < 0\), when \(c>0\).
(1) b < 0. Not sufficient.
(2) c > 0. Sufficient.
Answer: B.
Hope it's clear.
\(a^5b^3c^6 < 0\) --> reduce by \(a^4b^2c^6\) (notice that this expression is positive): \(ab< 0\). Since, \(ab< 0\), then \(abc < 0\), when \(c>0\).
(1) b < 0. Not sufficient.
(2) c > 0. Sufficient.
Answer: B.
Hope it's clear.
08 Jul 2013, 01:57
Kudos
Bookmarks
fozzzy
You can also do it so,
\(a^5b^3c^6 < 0\) = \((abc)^3 * a^2c^3 < 0\)
(1) b< 0 this doesn't tell us anything about the left hand side of the inequality
Insufficent
(2) c > 0 , now this means that the second term in the modified left hand side .. \(a^2c^3 >0\). Thus the other term \(abc^3 < 0\). This implies that
\(abc < 0\)
Sufficient
Thus the answer is B
