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

 It is currently 15 Dec 2018, 08:54

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### FREE Quant Workshop by e-GMAT! December 16, 2018 December 16, 2018 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. # 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 Joined: 02 Sep 2009 Posts: 51218 When positive integer N is divided by positive integer J, the remainde [#permalink] ### Show Tags 27 Feb 2015, 04:57 00:00 Difficulty: 15% (low) Question Stats: 82% (01:16) correct 18% (02:07) wrong based on 151 sessions ### HideShow timer Statistics 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. _________________ ##### Most Helpful Expert Reply Math Expert Joined: 02 Sep 2009 Posts: 51218 Re: When positive integer N is divided by positive integer J, the remainde [#permalink] ### Show Tags 02 Mar 2015, 04:59 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 Status: Gmat Prep Joined: 22 Jul 2011 Posts: 74 Re: When positive integer N is divided by positive integer J, the remainde [#permalink] ### Show Tags 27 Feb 2015, 06:25 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 Joined: 06 Nov 2014 Posts: 1880 Re: When positive integer N is divided by positive integer J, the remainde [#permalink] ### Show Tags 28 Feb 2015, 02:14 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
Joined: 07 Dec 2014
Posts: 1128
When positive integer N is divided by positive integer J, the remainde  [#permalink]

### Show Tags

28 Sep 2018, 10:04
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
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13087
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

18 Oct 2018, 18:55
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...

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

# 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/

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

GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 544
Re: When positive integer N is divided by positive integer J, the remainde  [#permalink]

### Show Tags

19 Oct 2018, 06:08
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 :: https://GMATH.net (Math for the GMAT) or GMATH.com.br (Portuguese version)
Course release PROMO : finish our test drive till 30/Dec with (at least) 50 correct answers out of 92 (12-questions Mock included) to gain a 50% discount!

Re: When positive integer N is divided by positive integer J, the remainde &nbs [#permalink] 19 Oct 2018, 06:08
Display posts from previous: Sort by