GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 10 Dec 2018, 18:50

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

How many integers between 1 and 2,000 are divisible by 10, 25, and 35?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51072
How many integers between 1 and 2,000 are divisible by 10, 25, and 35?  [#permalink]

Show Tags

New post 19 Apr 2016, 02:09
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:33) correct 23% (02:08) wrong based on 118 sessions

HideShow timer Statistics

Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2127
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: How many integers between 1 and 2,000 are divisible by 10, 25, and 35?  [#permalink]

Show Tags

New post 19 Apr 2016, 03:15
Prime factorization of given numbers
10=2*5
25=5^2
35=5*7
LCM of the given numbers
=2*5^2*7
=50*7
=350

Therefore , number of integers = 2000/350
=5

Answer C
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Manager
Manager
avatar
Joined: 10 Apr 2016
Posts: 55
Concentration: Strategy, Entrepreneurship
GMAT 1: 520 Q29 V30
GPA: 3.01
Re: How many integers between 1 and 2,000 are divisible by 10, 25, and 35?  [#permalink]

Show Tags

New post 19 Apr 2016, 09:54
1
I find it easiest to just take 350 and see how many times it fits in 2000. Which is five times. Anything lower than 350 is impossible as anything divisible by 35 won't be divisible by 10 and 25.

Answer is 5.
_________________

Took the Gmat and got a 520 after studying for 3 weeks with a fulltime job. Now taking it again, but with 6 weeks of prep time and a part time job. Studying every day is key, try to do at least 5 exercises a day.

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4273
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
Re: How many integers between 1 and 2,000 are divisible by 10, 25, and 35?  [#permalink]

Show Tags

New post 19 Apr 2016, 10:14
Bunuel wrote:
How many integers between 1 and 2,000 are divisible by 10, 25, and 35?

A. 4
B. 5
C. 6
D. 7
E. 8


Since the numbers are divisible by 10, 25, and 35 they must be the common multiples of these 3 Numbers (10, 25, and 35)

LCM of 10, 25, and 35 is 350

Numbers divisible by 350 is 2000/350 = 5.xxxxx

So, There must be 5 integers between 1 and 2,000 are divisible by 10, 25, and 35. :-D :lol: :P
_________________

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 )

Manager
Manager
avatar
Joined: 12 Jun 2015
Posts: 79
Reviews Badge
Re: How many integers between 1 and 2,000 are divisible by 10, 25, and 35?  [#permalink]

Show Tags

New post 19 Apr 2016, 13:39
The question basically asks us to calculate the LCM of 10, 25 and 35 and use that number to find how many numbers are divisible by it within the given range.

LCM of 10, 25 and 35 = 350

Numbers divisible by 350 from 1 to 2000 : 350, 700, 1050, 1400, 1750
Only 5 numbers
Correct Option : B
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2630
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: How many integers between 1 and 2,000 are divisible by 10, 25, and 35?  [#permalink]

Show Tags

New post 20 Apr 2016, 13:09
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9099
Premium Member
Re: How many integers between 1 and 2,000 are divisible by 10, 25, and 35?  [#permalink]

Show Tags

New post 16 Aug 2018, 17:35
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: How many integers between 1 and 2,000 are divisible by 10, 25, and 35? &nbs [#permalink] 16 Aug 2018, 17:35
Display posts from previous: Sort by

How many integers between 1 and 2,000 are divisible by 10, 25, and 35?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.