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

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
When positive integer N is divided by positive integer J, the remainde  [#permalink]

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27 Feb 2015, 05:57
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85% (01:11) correct 15% (02:24) wrong based on 118 sessions

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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.

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Status: Gmat Prep
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Posts: 74
Re: When positive integer N is divided by positive integer J, the remainde  [#permalink]

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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
Joined: 06 Nov 2014
Posts: 1883
Re: When positive integer N is divided by positive integer J, the remainde  [#permalink]

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28 Feb 2015, 03:14
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.

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

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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 Math Expert Joined: 02 Sep 2009 Posts: 50000 Re: When positive integer N is divided by positive integer J, the remainde [#permalink] ### Show Tags 02 Mar 2015, 05:59 1 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. 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. _________________ VP Joined: 07 Dec 2014 Posts: 1104 When positive integer N is divided by positive integer J, the remainde [#permalink] ### Show Tags 28 Sep 2018, 11:04 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: 12675 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, 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 # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: When positive integer N is divided by positive integer J, the remainde &nbs [#permalink] 18 Oct 2018, 19:55
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