GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Jun 2018, 17:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is k greater than 3?

Author Message
TAGS:

### Hide Tags

Manager
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 122
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
Is k greater than 3? [#permalink]

### Show Tags

08 Oct 2010, 18:55
5
00:00

Difficulty:

45% (medium)

Question Stats:

59% (00:55) correct 41% (00:59) wrong based on 130 sessions

### HideShow timer Statistics

Is k greater than 3?

(1) (k - 3)(k - 2)(k - 1) > 0
(2) k > 1
Math Expert
Joined: 02 Sep 2009
Posts: 46035
Re: tricky DS inequalities problem from an old GMAT paper exam [#permalink]

### Show Tags

08 Oct 2010, 19:32
1
3
tonebeeze wrote:
Is k greater than 3?

(1) (k - 3)(k- 2)(k - 1) > 0

(2) k > 1

Can you help me explain how to simplify statement 1. Is the key to test values between 0 and 1?

Thanks

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.

_________________
Intern
Status: waiting for ISB CO2016 r2 results
Joined: 16 Sep 2010
Posts: 11
Location: India
Concentration: Entrepreneurship, General Management
Schools: ISB '16 (I)
GMAT 1: 640 Q35 V48
WE: General Management (Energy and Utilities)
Re: tricky DS inequalities problem from an old GMAT paper exam [#permalink]

### Show Tags

08 Oct 2010, 21:28
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?
Retired Moderator
Joined: 02 Sep 2010
Posts: 775
Location: London
Re: tricky DS inequalities problem from an old GMAT paper exam [#permalink]

### Show Tags

08 Oct 2010, 23:27
ranjanav22 wrote:
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?

When you have inequalities like this one A*B*C>0
Either all three terms are greater than 0 (k>3)
Or exactly one term is greater than 0, and other two are less than 0 (1<k<2)
_________________
Senior Manager
Status: Upset about the verbal score - SC, CR and RC are going to be my friend
Joined: 30 Jun 2010
Posts: 302
Re: tricky DS inequalities problem from an old GMAT paper exam [#permalink]

### Show Tags

15 Oct 2010, 11:33
shrouded1 wrote:
ranjanav22 wrote:
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?

When you have inequalities like this one A*B*C>0
Either all three terms are greater than 0 (k>3)
Or exactly one term is greater than 0, and other two are less than 0 (1<k<2)

Is there a reason for choosing K>3 ? Can it be K<3,K<2 and K>1?
_________________

My gmat story
MGMAT1 - 630 Q44V32
MGMAT2 - 650 Q41V38
MGMAT3 - 680 Q44V37
GMATPrep1 - 660 Q49V31
Knewton1 - 550 Q40V27

CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2657
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Re: tricky DS inequalities problem from an old GMAT paper exam [#permalink]

### Show Tags

15 Oct 2010, 13:01
tonebeeze wrote:
Is k greater than 3?

(1) (k - 3)(k- 2)(k - 1) > 0

(2) k > 1

Can you help me explain how to simplify statement 1. Is the key to test values between 0 and 1?

Thanks

_________________

Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned

Jo Bole So Nihaal , Sat Shri Akaal

GMAT Club Premium Membership - big benefits and savings

Gmat test review :
http://gmatclub.com/forum/670-to-710-a-long-journey-without-destination-still-happy-141642.html

Non-Human User
Joined: 09 Sep 2013
Posts: 7001
Re: Is k greater than 3? [#permalink]

### Show Tags

21 Sep 2017, 00:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Is k greater than 3?   [#permalink] 21 Sep 2017, 00:15
Display posts from previous: Sort by