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# 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between

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Math Revolution GMAT Instructor
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3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between  [#permalink]

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31 Oct 2018, 02:46
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Difficulty:

5% (low)

Question Stats:

85% (01:17) correct 15% (01:39) wrong based on 58 sessions

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[Math Revolution GMAT math practice question]

$$3, 6, 9, 12, …$$ are multiples of $$3$$. How many multiples of $$3$$ lie between $$10$$ and $$200$$, inclusive?

$$A. 54$$
$$B. 57$$
$$C. 60$$
$$D. 63$$
$$E. 66$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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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" VP Joined: 31 Oct 2013 Posts: 1465 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) Re: 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between [#permalink] ### Show Tags 31 Oct 2018, 03:07 1 MathRevolution wrote: [Math Revolution GMAT math practice question] $$3, 6, 9, 12, …$$ are multiples of $$3$$. How many multiples of $$3$$ lie between $$10$$ and $$200$$, inclusive? $$A. 54$$ $$B. 57$$ $$C. 60$$ $$D. 63$$ $$E. 66$$ Between 10 and 200 , inclusive. First multiple of 3 in the range : 12 =3*4 Last Multiple of 3 in the range : 198 = 3*66 Total no. of multiple in the range : 66 - 4 + 1 = 63. The best answer is D. Intern Joined: 16 Mar 2016 Posts: 7 Location: Uzbekistan Re: 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between [#permalink] ### Show Tags 31 Oct 2018, 03:20 number of integers : 200-10=190 integers. every third integer is a multiple of 3 so 190/3=63 Senior Manager Status: No dream is too large, no dreamer is too small Joined: 14 Jul 2010 Posts: 422 Re: 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between [#permalink] ### Show Tags 31 Oct 2018, 03:46 Top Contributor The multiples are 12,15....198 Thus, Nth= a1+ (n-1)d 198= 12 + (n-1)d 198= 12 + (n-1)3 N= 63 ans. Posted from my mobile device _________________ Senior Manager Joined: 04 Aug 2010 Posts: 477 Schools: Dartmouth College 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between [#permalink] ### Show Tags 31 Oct 2018, 04:41 MathRevolution wrote: [Math Revolution GMAT math practice question] $$3, 6, 9, 12, …$$ are multiples of $$3$$. How many multiples of $$3$$ lie between $$10$$ and $$200$$, inclusive? $$A. 54$$ $$B. 57$$ $$C. 60$$ $$D. 63$$ $$E. 66$$ The difference between the endpoints of the range = 200-10 = 190. Since neither endpoint is a multiple of 3, we can count the multiples of 3 simply by dividing 3 into 190: 190/3 ≈ 63 _________________ GMAT and GRE Tutor Over 1800 followers GMATGuruNY@gmail.com New York, NY If you find one of my posts helpful, please take a moment to click on the "Kudos" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8017 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between [#permalink] ### Show Tags 02 Nov 2018, 01:31 => $$12$$ is the smallest multiple of $$3$$ and $$198$$ is the largest multiple of $$3$$ between $$10$$ and $$200$$, inclusive. Thus, the number of multiples of $$3$$ between $$10$$ and $$200$$, inclusive is $$\frac{( 198 – 12 )}{3 + 1} = \frac{186}{3} + 1 = 62 + 1 = 63$$ Therefore, the answer is D. Answer: D _________________ 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: 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between  [#permalink]

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03 Nov 2018, 18:08
MathRevolution wrote:
[Math Revolution GMAT math practice question]

$$3, 6, 9, 12, …$$ are multiples of $$3$$. How many multiples of $$3$$ lie between $$10$$ and $$200$$, inclusive?

$$A. 54$$
$$B. 57$$
$$C. 60$$
$$D. 63$$
$$E. 66$$

The smallest multiple of 3 within the range is 12 and the largest is 198. So the number of multiples of 3 within the range is:

(198 - 12)/3 + 1 = 186/3 + 1= 62 + 1 = 63

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Re: 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between  [#permalink]

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03 Nov 2018, 18:39
MathRevolution wrote:
[Math Revolution GMAT math practice question]

$$3, 6, 9, 12, …$$ are multiples of $$3$$. How many multiples of $$3$$ lie between $$10$$ and $$200$$, inclusive?

$$A. 54$$
$$B. 57$$
$$C. 60$$
$$D. 63$$
$$E. 66$$

Last digit- First/spacing between digits + 1

198-12/3 +1
62+1=63
Re: 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 lie between   [#permalink] 03 Nov 2018, 18:39
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