Last visit was: 21 Jul 2024, 22:00 It is currently 21 Jul 2024, 22:00
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.

# If K is an integer and 2 < K < 8, what is the value of K ?

SORT BY:
Tags:
Show Tags
Hide Tags
Manager
Joined: 23 Jan 2008
Posts: 68
Own Kudos [?]: 833 [53]
Given Kudos: 0
Manager
Joined: 12 May 2012
Posts: 56
Own Kudos [?]: 244 [20]
Given Kudos: 14
Location: India
Concentration: General Management, Operations
GMAT 1: 650 Q51 V25
GMAT 2: 730 Q50 V38
GPA: 4
WE:General Management (Transportation)
VP
Joined: 29 Mar 2007
Posts: 1143
Own Kudos [?]: 1749 [6]
Given Kudos: 0
General Discussion
Director
Joined: 28 Dec 2005
Posts: 695
Own Kudos [?]: 547 [0]
Given Kudos: 2
Re: If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
E

from stat 1, k is 3, 5 or 6

from stat 2, k is either 3,4 or 6

together, k is either 3 or 6.
Manager
Joined: 06 Jun 2012
Posts: 106
Own Kudos [?]: 981 [4]
Given Kudos: 37
If k is an integer and 2 < k < 8, what is the value of k ? [#permalink]
4
Bookmarks
If k is an integer and 2 < k < 8, what is the value of k ?

(1) k is a factor of 30.
(2) k is a factor of 12

from statement 1 : k can be 2,3,5. k>2, so 3 or 5. NS
from statement 2 : k can be 2,3. k>2, so 3. Sufficient

Hence my answer was B. Am i missing something
Manager
Joined: 06 Jun 2012
Posts: 106
Own Kudos [?]: 981 [0]
Given Kudos: 37
Re: If k is an integer and 2 < k < 8, what is the value of k ? [#permalink]
Ohh, thanks. For some unknown reason i thought the factor is prime. Thanks again.
Intern
Joined: 04 Mar 2013
Posts: 46
Own Kudos [?]: 13 [0]
Given Kudos: 6
Location: India
Concentration: General Management, Marketing
GPA: 3.49
WE:Web Development (Computer Software)
Re: If k is an integer and 2 < k < 8, what is the value of k ? [#permalink]
summer101 wrote:
If k is an integer and 2 < k < 8, what is the value of k ?

(1) k is a factor of 30.
(2) k is a factor of 12

from statement 1 : k can be 2,3,5. k>2, so 3 or 5. NS
from statement 2 : k can be 2,3. k>2, so 3. Sufficient

Hence my answer was B. Am i missing something

hi mate, what you are missing is 5, 6 they too are factors mate
and 3, 6 are our traps
Manager
Joined: 19 Apr 2016
Posts: 204
Own Kudos [?]: 560 [0]
Given Kudos: 59
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE:Web Development (Computer Software)
Re: If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
St I k= 3,5,6 insufficient
St II k = 3,4,6 insufficient
St I and II k = 3, 6 insufficient

Hence Option E is correct

Sent from my Redmi Note 4 using GMAT Club Forum mobile app
IIM School Moderator
Joined: 04 Sep 2016
Posts: 1253
Own Kudos [?]: 1265 [0]
Given Kudos: 1207
Location: India
WE:Engineering (Other)
Re: If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
Quote:
If K is an integer and 2<K<8, what is the value of K ?

1. K is a factor of 30.
2. K is a factor of 12.

Bunuel VeritasPrepKarishma niks18

Is B incorrect since Q mentions about factors (ie no when divided by factor will leave remainder as zero)
and not prime factors (B's distinct prime factors shall be 2 and 3) Since only 3 falls in range
given by Q, B would have been correct answer choice.
Math Expert
Joined: 02 Sep 2009
Posts: 94441
Own Kudos [?]: 642845 [1]
Given Kudos: 86716
Re: If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
1
Kudos
Quote:
If K is an integer and 2<K<8, what is the value of K ?

1. K is a factor of 30.
2. K is a factor of 12.

Bunuel VeritasPrepKarishma niks18

Is B incorrect since Q mentions about factors (ie no when divided by factor will leave remainder as zero)
and not prime factors (B's distinct prime factors shall be 2 and 3) Since only 3 falls in range
given by Q, B would have been correct answer choice.

Yes. The factors of 12 are 1, 2, 3, 4, 6, and 12. While prime factors of 12 are 2 and 3.
Intern
Joined: 03 Dec 2018
Posts: 4
Own Kudos [?]: 2 [0]
Given Kudos: 11
Location: Spain
Re: If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
(1) The factors of 30 are {1, 2, 3, 5, 6, 10, 15, 30}

Factors that are between 2 and 8 are {3, 5, 6} --> We have 3 choices --> Not Suff.

(2) The factors of 12 are {1, 2, 3, 4, 6, 12}

Factors that are between 2 and 8 are {3, 4, 6} --> We have 3 choices --> Not Suff.

(1)(2) k=3 and k=6 are the two possible values for k --> Not suff

Intern
Joined: 02 Nov 2020
Posts: 26
Own Kudos [?]: 7 [1]
Given Kudos: 1
Re: If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
1
Bookmarks
It's a good idea to use the factor tree in order to find factors quickly. Here' an explanation of this 2 < k < 8 question on YouTube:

GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4918
Own Kudos [?]: 7809 [0]
Given Kudos: 221
Location: India
If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
Top Contributor
St(1): K is a factor of 30

Since k is an integer between 2 and 8,the possible values of k are 3,5 and 6.

Since we have no definite value of k, the statement stands insufficient.

(insufficient)
Eliminate A,D.

St(2):K is a factor of 12

Since k is an integer between 2 and 8,the possible values of k are 3,4,6.

Since we have no definite value of k, the statement stands insufficient.
(insufficient)
Eliminate B

On combining 1 & 2,

K is a factor of 30 and K is a factor of 12

Since k is an integer between 2 and 8,the possible values of k are 3,6

Once again, there is no definite value of k
(option e)

D.S
GMAT SME
Non-Human User
Joined: 09 Sep 2013
Posts: 34041
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
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: If K is an integer and 2 < K < 8, what is the value of K ? [#permalink]
Moderator:
Math Expert
94441 posts