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

It is currently 20 Oct 2018, 10:41

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

Positive integers A, B, C are such that C is a multiple of B & B is a

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

Hide Tags

Manager
Manager
User avatar
B
Joined: 15 Feb 2017
Posts: 61
CAT Tests
Positive integers A, B, C are such that C is a multiple of B & B is a  [#permalink]

Show Tags

New post Updated on: 28 Sep 2018, 10:07
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

52% (01:22) correct 48% (01:12) wrong based on 27 sessions

HideShow timer Statistics

Positive integers A, B, C are such that C is a multiple of B & B is a multiple of A. Is A multiple of 5?

(1) B x C is a multiple of 5
(2) A x B is a multiple of 5

_________________

IMPOSSIBLE IS JUST AN OPINION


Originally posted by sonusaini1 on 28 Sep 2018, 10:02.
Last edited by Bunuel on 28 Sep 2018, 10:07, edited 1 time in total.
Renamed the topic and edited the question.
GMATH Teacher
User avatar
S
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 379
Re: Positive integers A, B, C are such that C is a multiple of B & B is a  [#permalink]

Show Tags

New post 28 Sep 2018, 10:21
sonusaini1 wrote:
Positive integers A, B, C are such that C is a multiple of B & B is a multiple of A. Is A multiple of 5?

(1) B x C is a multiple of 5
(2) A x B is a multiple of 5

\(A,B,C\,\,\, \geqslant 1\,\,\,{\text{ints}}\)

\(\frac{C}{B} = \operatorname{int} \,\,\,\,\,\,\,\,;\,\,\,\,\,\,\,\,\frac{B}{A} = \operatorname{int}\)

\(\frac{A}{5}\,\,\,\mathop = \limits^? \,\,\,\operatorname{int}\)

\(\left( {1 + 2} \right)\,\,\,\left\{ \matrix{
{{BC} \over 5} = {\mathop{\rm int}} \hfill \cr
{{AB} \over 5} = {\mathop{\rm int}} \hfill \cr} \right.\,\,\,\,\,\,\,\)

\(\left\{ \begin{gathered}
\,{\text{Take}}\,\,\left( {A,B,C} \right) = \left( {1,5,5} \right)\,\,\,\, \Rightarrow \,\,\,\left\langle {{\text{NO}}} \right\rangle \,\, \hfill \\
\,{\text{Take}}\,\,\left( {A,B,C} \right) = \left( {5,5,5} \right)\,\,\,\, \Rightarrow \,\,\,\left\langle {{\text{YES}}} \right\rangle \,\, \hfill \\
\end{gathered} \right.\)


The correct answer is therefore (E).


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________

Fabio Skilnik :: http://www.GMATH.net (Math for the GMAT)
Course release PROMO : finish our test drive till 31/Oct with (at least) 60 correct answers out of 92 (12-questions Mock included) to gain a 60% discount!

GMAT Club Bot
Re: Positive integers A, B, C are such that C is a multiple of B & B is a &nbs [#permalink] 28 Sep 2018, 10:21
Display posts from previous: Sort by

Positive integers A, B, C are such that C is a multiple of B & B is a

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.