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08 Oct 2010, 18:55
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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:
61% (01:18) correct
39%
(01:18)
wrong
based on 851
sessions
History
Date
Time
Result
Not Attempted Yet
Is k greater than 3?
(1) (k - 3)(k - 2)(k - 1) > 0
(2) k > 1
(1) (k - 3)(k - 2)(k - 1) > 0
(2) k > 1
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08 Oct 2010, 19:32
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tonebeeze
Is \(k>3\)?
(1) \((k-3)(k-2)(k-1)>0\)
The product of 3 numbers is positive if all three are positive (+++) OR two of them are negative and the third one is positive (+--).
Note that: out of 3 numbers \(k-3\) is the least one and \(k-1\) is the biggest one.
\((+)(+)(+)\) is when even the least one is positive so when \(k-3>0\) --> \(k>3\);
\((+)(-)(-)\) is when the biggest one is positive (\(k-1>0\) --> \(k>1\)) and the next one (hence the leas one too) negative (\(k-2<0\) --> \(k<2\)), so when \(1<k<2\);
So \((k-3)(k-2)(k-1)>0\) means that: \(k>3\) or \(1<k<2\) --> \(k\) may or may not be more than 3. Not sufficient.
(2) \(k>1\). Clearly insufficient.
(1)+(2) Intersection of the ranges from (1) and (2) is the range we had in (1) \(k>3\) or \(1<k<2\), so \(k\) may or may not be more than 3. Not sufficient.
Answer: E.
General Discussion
ranjanav22
Joined: 16 Sep 2010
Last visit: 09 Sep 2016
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Status:waiting for ISB CO2016 r2 results
Location: India
Concentration: Entrepreneurship, General Management
Schools: ISB '16 (I)
GMAT 1: 640 Q35 V48
WE:General Management (Energy)
08 Oct 2010, 21:28
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If (k-3)(k-2)(k-1)>0, doesnt that mean, K>3 or K>2 or K>1?
Why is it K>3 or 1>k>2?
Please explain. Thank you.
Why is it K>3 or 1>k>2?
Please explain. Thank you.
