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

It is currently 22 May 2019, 04:38

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

When positive integer N is divided by positive integer J, the remainde

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55228
When positive integer N is divided by positive integer J, the remainde  [#permalink]

Show Tags

New post 27 Feb 2015, 05:57
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:39) correct 19% (02:02) wrong based on 160 sessions

HideShow timer Statistics

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55228
Re: When positive integer N is divided by positive integer J, the remainde  [#permalink]

Show Tags

New post 02 Mar 2015, 05:59
1
4
Bunuel wrote:
When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

A. 22
B. 56
C. 78
D. 112
E. 175


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

We know that \(decimal \ part \ of \ decimal \ quotient =\frac{remainder}{divisor}\)

So 0.08, the decimal part of the decimal quotient, must equal the remainder, 14, divided by the divisor J.
0.08 = 14/J
0.08*J = 14
J = 14/0.08 = 1400/8 = 700/4 = 350/2 = 175

So J = 175, answer = E.
_________________
General Discussion
Manager
Manager
User avatar
Status: Gmat Prep
Joined: 22 Jul 2011
Posts: 74
GMAT ToolKit User
Re: When positive integer N is divided by positive integer J, the remainde  [#permalink]

Show Tags

New post 27 Feb 2015, 07:25
if we subtract remainder then there will be no decimal points

we have 0.08*x=14
x=175
n

Another example we have 2.4>>12/5 >>>>2 2/5>>> 2 is reminder so if we subtract 2 we get no remainder
SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1877
Re: When positive integer N is divided by positive integer J, the remainde  [#permalink]

Show Tags

New post 28 Feb 2015, 03:14
3
Bunuel wrote:
When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

A. 22
B. 56
C. 78
D. 112
E. 175


Kudos for a correct solution.


When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder
So, Dividend/Divisor = Quotient + Remainder/Divisor
Given that N/J = 134.08
Here 134 is the quotient.
Given that Remainder = 14
So, 134.08 = 134 + 14/J
So, J = 175

--
Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimus-prep.com/gmat-on-demand-course
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1191
When positive integer N is divided by positive integer J, the remainde  [#permalink]

Show Tags

New post 28 Sep 2018, 11:04
1
Bunuel wrote:
When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

A. 22
B. 56
C. 78
D. 112
E. 175


Kudos for a correct solution.


comparing possible fractional values of .08 and answer choices,
note 2/25 and 175, a multiple of 25
confirming,
2/25*175=14 remainder
175
E
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14188
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: When positive integer N is divided by positive integer J, the remainde  [#permalink]

Show Tags

New post 18 Oct 2018, 19:55
Hi All,

To start, this question is a 'lift' of an Official Guide question:
OG2018 and OG2019 pg. 170, question #154

We're told that P and J are positive INTEGERS, when P is divided by J, the REMAINDER is 14 and N/J = 134.08. We're asked for the value of J. This question has a great 'math shortcut' built into it that can help you to avoid a calculation-heavy approach, but you have to pay careful attention to the answer choices.

Since N and J are INTEGERS and N/J = 134.08, we know that N = 134.08(J). Thus, whatever J is, when we multiply that number by 134.08 we end up with an INTEGER. This means that J has to 'cancel out' the decimal point. Put differently, the units digit of J multiplied by 8 has to create a number that ENDS in a 0. Looking at the 5 answer choices, there's only one answer that would do that...

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
GMATH Teacher
User avatar
P
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
Re: When positive integer N is divided by positive integer J, the remainde  [#permalink]

Show Tags

New post 19 Oct 2018, 07:08
Bunuel wrote:
When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

A. 22
B. 56
C. 78
D. 112
E. 175

\(N,J \ge 1\,\,\,{\rm{ints}}\)

Let´s consider what the Division Algorithm say!

\(N = QJ + 14\,\,,\,\,\,\left\{ \matrix{
\,Q\,\,{\mathop{\rm int}} \hfill \cr
\,J \ge 15\,\,\,\,\,,\,\,\,\,\,\,? = J\,\, \hfill \cr} \right.\,\,\,\,\,\,\,\,\,\left( * \right)\)

\(134.08 = {N \over J} = Q + {{14} \over J}\,\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,\,\left\{ \matrix{
\,Q = 134 \hfill \cr
\,{{14} \over J} = 0.08 = {8 \over {100}}\,\,\,\,\, \Rightarrow \,\,\,\,\,? = J = {{14 \cdot 100} \over 8} = 7 \cdot 25 = 175 \hfill \cr} \right.\,\,\,\,\)


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

Regards,
Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
GMAT Club Bot
Re: When positive integer N is divided by positive integer J, the remainde   [#permalink] 19 Oct 2018, 07:08
Display posts from previous: Sort by

When positive integer N is divided by positive integer J, the remainde

  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®.