Last visit was: 27 May 2024, 00:15 It is currently 27 May 2024, 00:15
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# Is k greater than 3?

SORT BY:
Tags:
Show Tags
Hide Tags
Manager
Joined: 19 Nov 2009
Status:Current MBA Student
Posts: 79
Own Kudos [?]: 2792 [36]
Given Kudos: 210
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
Math Expert
Joined: 02 Sep 2009
Posts: 93470
Own Kudos [?]: 627003 [5]
Given Kudos: 81958
General Discussion
Intern
Joined: 16 Sep 2010
Status:waiting for ISB CO2016 r2 results
Posts: 11
Own Kudos [?]: 10 [0]
Given Kudos: 8
Location: India
Concentration: Entrepreneurship, General Management
Schools: ISB '16 (I)
GMAT 1: 640 Q35 V48
WE:General Management (Energy and Utilities)
Retired Moderator
Joined: 02 Sep 2010
Posts: 615
Own Kudos [?]: 2937 [0]
Given Kudos: 25
Location: London
Q51  V41
Re: tricky DS inequalities problem from an old GMAT paper exam [#permalink]
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
Joined: 30 Jun 2010
Status:Upset about the verbal score - SC, CR and RC are going to be my friend
Posts: 263
Own Kudos [?]: 30 [0]
Given Kudos: 6
Re: tricky DS inequalities problem from an old GMAT paper exam [#permalink]
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?
SVP
Joined: 12 Oct 2009
Status:<strong>Nothing comes easy: neither do I want.</strong>
Posts: 2279
Own Kudos [?]: 3613 [0]
Given Kudos: 235
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]
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

Current Student
Joined: 26 May 2019
Posts: 736
Own Kudos [?]: 264 [0]
Given Kudos: 84
Location: India
GMAT 1: 650 Q46 V34
GMAT 2: 720 Q49 V40
GPA: 2.58
WE:Consulting (Consulting)
Re: Is k greater than 3? [#permalink]
St. 1 gives us that k>2 since the equation is +ve only when all 3 are +ve i.e. k>3 or when 2 -ve and 1+ve fig is there i.e. K>2 -- Not sufficient

St. 2 tells us k>1 -- Not sufficient

Merging St. 1 and St. 2 tells us that k>2 -- Not sufficient.

Intern
Joined: 04 Jun 2021
Posts: 7
Own Kudos [?]: 0 [0]
Given Kudos: 2
Location: India
Schools: ISB '24
Re: Is k greater than 3? [#permalink]
If the numbers are (k-3), (k-2), and (k-1), then these are consecutive numbers. Accordingly, (--+) won't exist as it needs to have 0 as well and we know the product is greater than zero.

Can any one of you explain why is my understanding incorrect?
Intern
Joined: 23 Jan 2023
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 16
Location: United States (CT)
Re: Is k greater than 3? [#permalink]
­I dont get this... The only way the first equation works is if k>3. if its less, the first equation doesnt work. I thought this was A.

k=4 ====> 1*2*3 =  6 which is >0
k=3 ====> 0* whatever = 0
k=-1 ====> -4*-3*-2 = -24 ­
Math Expert
Joined: 02 Sep 2009
Posts: 93470
Own Kudos [?]: 627003 [0]
Given Kudos: 81958
Re: Is k greater than 3? [#permalink]