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12 Jul 2010, 14:33
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D
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Difficulty:
65%
(hard)
Question Stats:
49% (01:45) correct
51%
(02:13)
wrong
based on 57
sessions
History
Date
Time
Result
Not Attempted Yet
If –8 < k < 8, is k < –2 ?
(1) k^2 – 7k – 18 > 0
(2) 1/k > 1/2
(1) k^2 – 7k – 18 > 0
(2) 1/k > 1/2
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12 Jul 2010, 14:47
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K is between -8 to 8 range (excluding 8 & -8)
1) (k-9)(k+2)>0 => a) k>9 or k>-2 b) k< 9 or k < -2 which means (by combining a & b) the solution set is k>9 and k < -2. Since it is given k < 8 we can deduce that k < -2. Hence suff
2) 1/k > 1/2 => 1/k-1/2 > 0 => k > 0 and k < 2. Hence suff.
Answer should be D
1) (k-9)(k+2)>0 => a) k>9 or k>-2 b) k< 9 or k < -2 which means (by combining a & b) the solution set is k>9 and k < -2. Since it is given k < 8 we can deduce that k < -2. Hence suff
2) 1/k > 1/2 => 1/k-1/2 > 0 => k > 0 and k < 2. Hence suff.
Answer should be D
12 Jul 2010, 15:57
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paam0101
Your solution is correct, but the question itself is not good:
(1) \((k-9)(k+2)>0\) --> \(k<-2\) or \(k>9\), but as given that \(-8<k<8\), then the final range is \(-8<k<-2\) and the answer to the question "is \(k<-2\)" is YES, hence sufficient.
(2) \(\frac{1}{k}>\frac{1}{2}\) --> \(0<k<2\) and the answer to the question "is \(k<-2\)" is NO, hence sufficient.
Answer: D.
Here comes the problematic part: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other but in our case we have that statement (1) gives the answer "YES" to the question and statement (2) gives the answer "NO" to the question, so statements contradict each other. This will never occur on real GMAT.
Hope it helps.
