BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

k evenly

This topic has expert replies
User avatar
Legendary Member
Posts: 526
Joined: Sat Feb 21, 2009 11:47 pm
Location: India
Thanked: 68 times
GMAT Score:680

by harshavardhanc » Mon Apr 12, 2010 6:00 am
sanju09 wrote:
If you are taking the term "evenly divisible" as to mean that the quotient is even, then I am sorry; please enjoy your drinks...
I like....I like....I like!!! ;)
Regards,
Harsha

User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Mon Apr 12, 2010 6:09 am
Fiver wrote:Is k = 2* 3* some integer ?

St1] 2 k is evenly divisible by 3.
This means that k is definitely divisible by 3.
Insuff.

St2] 3 k is evenly divisible by 3.
This means that k is definitely divisible by 2
Insuff
Together we know that k has atleast one 2 and one 3 as its factors.
Hence C.
What's the OA?

Well my friend, as Sanju was trying to point out, If A is evenly Divisible by B , the remainder when A is divided by B is zero. Neither A nor B has to be Even


OA would be ---
Always borrow money from a pessimist, he doesn't expect to be paid back.

Master | Next Rank: 500 Posts
Posts: 114
Joined: Mon Sep 22, 2008 3:51 am
Thanked: 8 times
GMAT Score:680

by Fiver » Mon Apr 12, 2010 7:37 am
ajith wrote:
Fiver wrote:Is k = 2* 3* some integer ?

St1] 2 k is evenly divisible by 3.
This means that k is definitely divisible by 3.
Insuff.

St2] 3 k is evenly divisible by 3.
This means that k is definitely divisible by 2
Insuff
Together we know that k has atleast one 2 and one 3 as its factors.
Hence C.
What's the OA?

Well my friend, as Sanju was trying to point out, If A is evenly Divisible by B , the remainder when A is divided by B is zero. Neither A nor B has to be Even


OA would be ---
Ok. I now figure out your point.

In terms of your understanding 'k is evenly divisible by 3' is as good as 'k is divisible by 3'

Then why would one one include the word 'evenly' in the question anyway?
It does not really play any role apart from leading one to postulate 2 different inferences.

User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Mon Apr 12, 2010 7:41 am
Fiver wrote:
Ok. I now figure out your point.

In terms of your understanding 'k is evenly divisible by 3' is as good as 'k is divisible by 3'

Then why would one one include the word 'evenly' in the question anyway?
It does not really play any role apart from leading one to postulate 2 different inferences.
I leave that for Sanju to Explain
Always borrow money from a pessimist, he doesn't expect to be paid back.

Senior | Next Rank: 100 Posts
Posts: 65
Joined: Wed Nov 25, 2009 6:33 pm
Thanked: 3 times

by dxgamez » Mon Apr 12, 2010 7:46 am
Evenly divisible means leaving no remainder when divided by.

https://en.wiktionary.org/wiki/evenly_divisible

Junior | Next Rank: 30 Posts
Posts: 12
Joined: Thu Mar 11, 2010 9:49 am
Thanked: 1 times

by Cdawg » Mon Apr 12, 2010 8:21 am
(1) obviously the statement basically states that k is an integer that is divisible by 3 (since 2k/3 is even) and that integer k cannot be smaller than 2, because if k=2, the statement wouldn't hold). 2*2/3 = not evenly divisible

Thus, k itself must be a integer that is divisible by 3, but larger than 2 for the statement to hold.

For any k that is divisible by 3, the checksum of 2k will be divisible by 3. Since 2 is prime, k itself must 'ensure' that the term 2k is divisible by 3. k can only do that if k is divisible by 3 and larger than 2. Thus sufficient.

I think it is important to understand that the statement excludes the possibility that k<3, and what it means that 2 is prime.

test:
it holds that k>2, perhaps k can be 3;6;9;12;15;...
k cannot be 1;2;4;5;7;8;10;11;13;14;...

OR

imaging fraction 2k/3 - for that to be even it must hold that k>2, and k itself is divisble by 3.

=> statement 1 is sufficient

(2) it could be that:
k=1;2;4;5 which aren't divisible by 3, but k could also be 3;6, which are divisible => so you can't say for sure whether k is divisible by 3 or not. Any integer multiplied by 3 is divisible by 3, so the statement doesn't reveal anything.

=> statement 2 is insufficient

THEREFORE: ANSWER A

i hope that helps

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Tue Apr 13, 2010 2:24 am
ajith wrote:
Fiver wrote:
Ok. I now figure out your point.

In terms of your understanding 'k is evenly divisible by 3' is as good as 'k is divisible by 3'

Then why would one one include the word 'evenly' in the question anyway?
It does not really play any role apart from leading one to postulate 2 different inferences.
I leave that for Sanju to Explain
Once upon a time, my brother told me that I am his brother. Later, he told me that I am his real brother. This real is killing me, really. Do we have fictitious brothers too? No, no...I am if truth be told perplexed now. Why did he use real there? Doesn't he know how to-the-point kind of celebrity I am?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

Master | Next Rank: 500 Posts
Posts: 114
Joined: Mon Sep 22, 2008 3:51 am
Thanked: 8 times
GMAT Score:680

by Fiver » Tue Apr 13, 2010 5:29 am
sanju09 wrote: Once upon a time, my brother told me that I am his brother. Later, he told me that I am his real brother. This real is killing me, really. Do we have fictitious brothers too? No, no...I am if truth be told perplexed now. Why did he use real there? Doesn't he know how to-the-point kind of celebrity I am?
Thanks Sanju. I understood all of that.
This signature of yours is very insightful. I have made a small change in the part that i like best.

A wise old owl sat on an oak,
The more he saw the less he spoke;
The less he spoke the more he heard;
Why aren't some like that wise old bird?

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Tue Apr 13, 2010 5:34 am
Fiver wrote:
sanju09 wrote: Once upon a time, my brother told me that I am his brother. Later, he told me that I am his real brother. This real is killing me, really. Do we have fictitious brothers too? No, no...I am if truth be told perplexed now. Why did he use real there? Doesn't he know how to-the-point kind of celebrity I am?
Thanks Sanju. I understood all of that.
This signature of yours is very insightful. I have made a small change in the part that i like best.

A wise old owl sat on an oak,
The more he saw the less he spoke;
The less he spoke the more he heard;
Why aren't some like that wise old bird?
because they are not ready to admit that they are basically an OWL!

any FOWL?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

Legendary Member
Posts: 809
Joined: Wed Mar 24, 2010 10:10 pm
Thanked: 50 times
Followed by:4 members

by akhpad » Tue Apr 13, 2010 5:53 am
sanju09 wrote:If k is an integer, is k evenly divisible by 3?

(1) 2 k is evenly divisible by 3.

(2) 3 k is evenly divisible by 3.
Statement 1:

2k = 3 * 2a
k = 3a
where a is any +ve integer (even or odd)

Not Sufficient

Statement 2:

3k = 3 * 2b
k = 2b
where b is any +ve integer (even or odd)

Not Sufficient

Statement 1 and 2:
k = 3a = 2b
so, k = 6c
Sufficient


Ans C

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Tue Apr 13, 2010 6:05 am
Despite the fact that it's in the interest of a reviewer to go through all the already existing posts (if any) allied to a given topic of interest before posting their original views, but it's hard for me to follow. Suggestions solicited.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

Master | Next Rank: 500 Posts
Posts: 114
Joined: Mon Sep 22, 2008 3:51 am
Thanked: 8 times
GMAT Score:680

by Fiver » Tue Apr 13, 2010 6:37 am
sanju09 wrote:
Fiver wrote:
sanju09 wrote: Once upon a time, my brother told me that I am his brother. Later, he told me that I am his real brother. This real is killing me, really. Do we have fictitious brothers too? No, no...I am if truth be told perplexed now. Why did he use real there? Doesn't he know how to-the-point kind of celebrity I am?
Thanks Sanju. I understood all of that.
This signature of yours is very insightful. I have made a small change in the part that i like best.

A wise old owl sat on an oak,
The more he saw the less he spoke;
The less he spoke the more he heard;
Why aren't some like that wise old bird?
because they are not ready to admit that they are basically an OWL!

any FOWL?
Again you are missing the word 'like'.

Why aren't some like that wise old bird? is not the same as Why aren't some that wise old bird?

any FOWL?-Nah not for the OWL

Master | Next Rank: 500 Posts
Posts: 140
Joined: Fri Feb 05, 2010 2:43 pm
Thanked: 3 times
GMAT Score:720

by analyst218 » Tue Apr 13, 2010 3:01 pm
OMG
that person is learning idioms in DS
the answer is def E in this case...