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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

15 Apr 2007, 00:42

kevincan wrote:

How many positive integers less than 1000 are multiples of 5 but NOT of 4 or 7?

(A) 114 (B) 121 (C) 122 (D) 129 (E) 136

There are 1000/5=200 multiples of 5 . now we have to find the number of multiples of 5 and 4 that is 20 between 0 to 1000 and 5 and 7 that is 35 between 0 to 1000.

multiples of 20=1000/20=50 multiples. and multiples of 35= 1000/35 =28.5 so 28 multiples of 35.

So multiples of 5 between o to 1000 not including multiples of 20 and 35 are equal to 200-78 = 122 multiples.
So the answere is C.

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

15 Apr 2007, 05:49

Javed's method seems to be straight forward and correct.

Although in a counting problem such as this, B is tempting because it's very close to C and it might make you think that you forgot to subtract 1 from somewhere...

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

15 Apr 2007, 11:12

multiples of 5: 5(1,2,3,4,5......, 199), 199 in total < 1000
multiples of 4 and 5: 20(1,2,3,4,5,....,49) 49 in total < 1000
multiples of 5 and 7: 35(1,2,3,4,5,....,28) 28 in total < 1000

199 - 49 - 28 = 122

The double counts include multiples of 20,35 (2*2*5, 7*5)
70,140,350,700,770,910,980

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

15 Apr 2007, 12:51

alfyG wrote:

multiples of 5: 5(1,2,3,4,5......, 199), 199 in total < 1000 multiples of 4 and 5: 20(1,2,3,4,5,....,49) 49 in total < 1000 multiples of 5 and 7: 35(1,2,3,4,5,....,28) 28 in total < 1000

199 - 49 - 28 = 122

The double counts include multiples of 20,35 (2*2*5, 7*5) 70,140,350,700,770,910,980

122 + 7(doubles) =129

I think the double counts given by you are incorrect. 70, for example, is not a multiple of 4 and 5.

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

29 Apr 2015, 09:27

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

11 May 2016, 11:07

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

15 Jun 2016, 22:50

1

This post was BOOKMARKED

Did I understand the concept correctly?

To find multiples of a number X less that Y, we divide Y/X. If Y/X has no remainder then no. of multiples if Y/X - 1. If Y/X has remainder then no. of multiples is quotient of Y/X. Eg

no. of multiples of 5 less than 1000 = 1000/5 - 1=199. (If 1000 was included then we wouldnt have subtracted 1) No. of multiples of 3 less than 1000 = 1000/3 = 333

To find common multiples of two nos U and V up to some no. W (eg common multiples of 20 and 35 less than 1000), we find the first common multiple (in this case 140). No all multiples of 140 less than 1000 would be common multiples of 20 and 35 less than 1000 (140, 280, 420, 560, 700, 840, 980, total 7)

How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

23 Aug 2016, 09:58

here is my approach -> Multiples of 5=> 199 Multiples of 4 and 5 i.e of 20 => 49 Multiples of 7 and 5 i.e 35 => 28 Multiples of all 5,4,& i.e multiples of 140=> 7

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

13 Oct 2016, 02:07

I am not able to understand why 7 has been added in the end... Can somebody explain this to me... Of possible please explain with the help of Venn diagram

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

13 Oct 2016, 03:01

[quote="suramya26"]I am not able to understand why 7 has been added in the end... Can somebody explain this to me... Of possible please explain with the help of Venn diagram

Hope this will help.

Thanks.

Attachments

HowManyIntegers.jpg [ 22.51 KiB | Viewed 2202 times ]

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

14 Oct 2016, 14:04

1

This post was BOOKMARKED

kevincan wrote:

How many positive integers less than 1000 are multiples of 5 but NOT of 4 or 7?

(A) 114 (B) 121 (C) 122 (D) 129 (E) 136

995/5=all multiples of 5=199 980/20=all multiples of 5 and 4=49 980/35=all multiples of 5 and 7=28 980/140=duplicate multiples of 5, 4 and 7=7 199-49-28+7=129 D.

Re: How many positive integers less than 1000 are multiples of 5 [#permalink]

Show Tags

20 Jan 2017, 17:37

1)Multiples of 5: (995-5)/5+1=198+1=199 2)Multiples of 5&4: 20: (980-20)/20+1=960/20+1=48+1=49 3)Multiples of 5&7: 35: (980-35)/35+1=945/35+1=27+1=28 4)Multiples of 5&4&7: 140: (980-140)/140+1=840/140+1=6+1=7 5)Multiples of 5 but not 4 and not 7: 199-(49-7)-(28-7)-7=129

gmatclubot

Re: How many positive integers less than 1000 are multiples of 5
[#permalink]
20 Jan 2017, 17:37

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...