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# What is the remainder when -12 is divided by -5?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8011
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the remainder when -12 is divided by -5?  [#permalink]

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07 Mar 2019, 01:16
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Difficulty:

55% (hard)

Question Stats:

15% (00:24) correct 85% (00:32) wrong based on 53 sessions

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[GMAT math practice question]

What is the remainder when $$-12$$ is divided by $$-5$$?

$$A. -3$$
$$B. -2$$
$$C. 0$$
$$D. 2$$
$$E. 3$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Sep 2009 Posts: 58381 Re: What is the remainder when -12 is divided by -5? [#permalink] ### Show Tags 07 Mar 2019, 01:21 MathRevolution wrote: [GMAT math practice question] What is the remainder when $$-12$$ is divided by $$-5$$? $$A. -3$$ $$B. -2$$ $$C. 0$$ $$D. 2$$ $$E. 3$$ Just a note: ALL GMAT divisibility/remainder questions are limited to positive integers only. _________________ Intern Joined: 13 Sep 2018 Posts: 21 Location: India Mission : 750 Re: What is the remainder when -12 is divided by -5? [#permalink] ### Show Tags 07 Mar 2019, 04:47 Bunuel Gladiator59 Shouldn't it be D . Because it says what number so it shuld 12 / 5 rem= 2 How E cause it does't says multiple of -5 other wise 15 -12 then rem = 3 would be possible Still confunsed Regards K.y.Shrenik Bimbsar Senior PS Moderator Status: It always seems impossible until it's done. Joined: 16 Sep 2016 Posts: 737 GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: What is the remainder when -12 is divided by -5? [#permalink] ### Show Tags 07 Mar 2019, 08:14 2 Like Bunuel already mentioned - remainder questions on the GMAT exclusively deal with positive numbers only. Still, the way we need to solve such a question is always remember that the remainder when dividing by |x| is always between 0 and X-1 (Inclusive) i.e remainder is always positive. ( By definition) -12 = -5(n) + R -12 = -5(3) + R R = 15 - 12 = 3 Hence the remainder will be 3. Or in other words, if you get a remainder of -2 ( which you will if you put n = 2 above) remember to arrive at 5 - 2 = 3 such that the remainder is always positive non-negative. Hope this helps. ShrenikBimbsar wrote: Bunuel Gladiator59 Shouldn't it be D . Because it says what number so it shuld 12 / 5 rem= 2 How E cause it does't says multiple of -5 other wise 15 -12 then rem = 3 would be possible Still confunsed Regards K.y.Shrenik Bimbsar _________________ Regards, Gladi “Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back) Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8011 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: What is the remainder when -12 is divided by -5? [#permalink] ### Show Tags 10 Mar 2019, 18:21 => If we can write $$A = BQ + R$$ with $$0 ≤ R < |B|$$, then $$R$$ is the remainder when $$A$$ is divided by $$B$$. $$-12 = (-5)*3 + 3$$ Thus, the remainder when $$-12$$ is divided by $$-5$$ is $$3$$. Therefore, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: What is the remainder when -12 is divided by -5?   [#permalink] 10 Mar 2019, 18:21
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