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

It is currently 25 Jun 2019, 13:41

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Is J divisible by 24?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Manager
Manager
User avatar
Joined: 23 Aug 2011
Posts: 64
Is J divisible by 24?  [#permalink]

Show Tags

New post Updated on: 29 Aug 2012, 02:32
2
5
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (01:14) correct 35% (01:00) wrong based on 311 sessions

HideShow timer Statistics


Is J divisible by 24?

(1) J is divisible by both 12 and 20.
(2) J is divisible by 8.

_________________
Whatever one does in life is a repetition of what one has done several times in one's life!
If my post was worth it, then i deserve kudos :)

Originally posted by conty911 on 29 Aug 2012, 02:26.
Last edited by Bunuel on 29 Aug 2012, 02:32, edited 1 time in total.
Edited the question and added the OA.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55801
Re: Is J divisible by 24?  [#permalink]

Show Tags

New post 29 Aug 2012, 02:36
3
2
Is J divisible by 24?

(1) J is divisible by both 12 and 20 --> J is divisible by the least common multiple of 12 and 20, so by 60. Now, if J=60, then the answer is NO but if J=120, then the answer is YES. Not sufficient.

(2) J is divisible by 8. If J=8, then the answer is NO but if J=24, then the answer is YES. Not sufficient.

(1)+(2) Since from (1) J is divisible by 3 and from (2) J is divisible by 8, then it's divisible by the least common multiple of 3 and 8, so by 24. Sufficient.

Answer: C.

Hope it's clear.
_________________
General Discussion
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6672
Location: United States (CA)
Re: Is J divisible by 24?  [#permalink]

Show Tags

New post 14 Apr 2017, 05:52
1
conty911 wrote:
Is J divisible by 24?

(1) J is divisible by both 12 and 20.
(2) J is divisible by 8.


We need to determine whether J/24 = integer.

Statement One Alone:

J is divisible by both 12 and 20.

If J is divisible by both 12 and 20, then J is divisible by the LCM of 12 and 20, which is 60. Furthermore, J will be divisible by any factors of 60. However, since 24 is not a factor of 60, J may or may not be divisible by 24. For example, if J = 120, then J is divisible by 24. On the other hand, if J = 60, then J is not divisible by 24. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

J is divisible by 8.

Statement two alone is not sufficient to answer the question. For example, when J = 8, J/24 is NOT an integer, but when J = 24, J/24 IS an integer.

Statements One and Two Together:

From statements one and two, we know that J is divisible by both 8 and 60. Thus, J is divisible by the LCM of 8 and 60, which is 120. Since 24 is a factor of 120, J is also divisible by 24.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11429
Re: Is J divisible by 24?  [#permalink]

Show Tags

New post 27 Dec 2018, 05:11
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.
_________________
GMAT Club Bot
Re: Is J divisible by 24?   [#permalink] 27 Dec 2018, 05:11
Display posts from previous: Sort by

Is J divisible by 24?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne