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How many multiples of 3 are there between -40 and 40?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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How many multiples of 3 are there between -40 and 40?  [#permalink]

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30 Sep 2016, 07:36
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How many multiples of 3 are there between -40 and 40?
A. 13 B. 17 C. 23 D. 26 E. 27

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"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" Retired Moderator Joined: 26 Nov 2012 Posts: 586 Re: How many multiples of 3 are there between -40 and 40? [#permalink] Show Tags 30 Sep 2016, 07:41 MathRevolution wrote: How many multiples of 3 are there between -40 and 40? A. 13 B. 17 C. 23 D. 26 E. 27 This is how I tried. ( NOTE : Zero is a multiple of every integer (except zero itself) There are total 81 numbers... -40 to -1 = 40 and 1 to 40 = 40 and zero...we get 81. 81/3 = 27. Option E. Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4512 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: How many multiples of 3 are there between -40 and 40? [#permalink] Show Tags 30 Sep 2016, 08:22 MathRevolution wrote: How many multiples of 3 are there between -40 and 40? A. 13 B. 17 C. 23 D. 26 E. 27 Total number = 80 Divisible by 3 is $$\frac{80}{3} + 1$$ = 27 Hence correct answer will be E (27) _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7597 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: How many multiples of 3 are there between -40 and 40? [#permalink] Show Tags 02 Oct 2016, 03:52 ==> The number of multiples of three between 1 and 40 is 13, and the number of multiples of 3 between -1 and -40 is also 13. However, since 0 is a multiple of all integers, 13+13+1=27. Hence 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: How many multiples of 3 are there between -40 and 40?  [#permalink]

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26 Feb 2018, 11:21
MathRevolution wrote:
How many multiples of 3 are there between -40 and 40?

A. 13 B. 17 C. 23 D. 26 E. 27

We can use the formula:

(largest multiple of 3 - smallest multiple of 3)/3 + 1

[(39 - (-39)]/3 + 1 = 78/3 + 1 = 26 + 1 = 27

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Re: How many multiples of 3 are there between -40 and 40?   [#permalink] 26 Feb 2018, 11:21
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How many multiples of 3 are there between -40 and 40?

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